[tor-commits] [tech-reports/master] Add unchanged performance roadmap sources.

31 Aug 2012

commit 01f6a9eb4e3142c8014c00add2bb392638b55802
Author: Karsten Loesing karsten.loesing@gmx.net
Date:   Thu Aug 30 11:48:58 2012 +0200
Add unchanged performance roadmap sources.
svn co https://svn.torproject.org/svn/projects/performance/
---
 2009/performance/.gitignore                        |   12 +
 2009/performance/Makefile                          |   40 +
 2009/performance/equilibrium.R                     |  156 ++
 2009/performance/extensiontimes.pdf                |  609 +++++++
 2009/performance/node-selection/exit-capacity.R    |   24 +
 2009/performance/node-selection/exit-capacity.dat  |   14 +
 2009/performance/node-selection/hillclimbing.py    |  252 +++
 .../node-selection/marginal-bandwidth.R            |   33 +
 2009/performance/node-selection/node-bw.dat        | 1044 ++++++++++++
 2009/performance/node-selection/opt_0.1.pickle.dat | 1033 ++++++++++++
 .../performance/node-selection/opt_0.25.pickle.dat | 1033 ++++++++++++
 2009/performance/node-selection/opt_0.5.pickle.dat | 1033 ++++++++++++
 .../performance/node-selection/opt_0.75.pickle.dat | 1033 ++++++++++++
 .../performance/node-selection/opt_1e-1.pickle.dat | 1033 ++++++++++++
 .../performance/node-selection/opt_1e-3.pickle.dat | 1033 ++++++++++++
 .../performance/node-selection/opt_1e-6.pickle.dat | 1033 ++++++++++++
 2009/performance/node-selection/opt_tor.pickle.dat | 1033 ++++++++++++
 .../node-selection/plot-node-selection.R           |   63 +
 .../performance/node-selection/vary-network-load.R |   93 +
 2009/performance/perf-todo                         |  170 ++
 2009/performance/performance.bib                   |  203 +++
 2009/performance/performance.tex                   | 1775 ++++++++++++++++++++
 2009/performance/prettyref.sty                     |   37 +
 23 files changed, 12789 insertions(+), 0 deletions(-)

diff --git a/2009/performance/.gitignore b/2009/performance/.gitignore
new file mode 100644
index 0000000..e116aa1
--- /dev/null
+++ b/2009/performance/.gitignore
@@ -0,0 +1,12 @@
+equilibrium.Rout
+equilibrium.pdf
+node-selection/exit-capacity.Rout
+node-selection/exit-capacity.pdf
+node-selection/optimum-selection-probabilities.pdf
+node-selection/plot-node-selection.Rout
+node-selection/relative-selection-probabilities.pdf
+node-selection/vary-network-load.Rout
+node-selection/vary-network-load.pdf
+performance.pdf
+performance.toc
+
diff --git a/2009/performance/Makefile b/2009/performance/Makefile
new file mode 100644
index 0000000..05a5973
--- /dev/null
+++ b/2009/performance/Makefile
@@ -0,0 +1,40 @@
+LATEX=pdflatex
+
+all: performance.pdf
+
+performance.pdf: node-selection/exit-capacity.pdf \
+	node-selection/optimum-selection-probabilities.pdf \
+	node-selection/relative-selection-probabilities.pdf \
+	node-selection/vary-network-load.pdf \
+	equilibrium.pdf \
+	performance.bbl
+
+%.pdf %.aux: %.tex
+	rm -f $*.ps $*.pdf
+	$(LATEX) $< || { rm -f $*.pdf $*.dvi $*.aux $*.idx && false ; }
+	while grep 'Rerun to get cross-references right.' $*.log ; do \
+	  $(LATEX) $< || { rm -f $*.pdf $*.dvi $*.aux $*.idx && false ; } ; done
+
+%.bbl: %.bib %.aux
+	bibtex $* || { rm -f $*.pdf $*.dvi $*.aux $*.bbl && false ; }
+
+node-selection/optimum-selection-probabilities.pdf \
+node-selection/relative-selection-probabilities.pdf: node-selection/plot-node-selection.R
+	cd node-selection; R CMD BATCH --vanilla ../$<
+
+node-selection/%.pdf: node-selection/%.R
+	cd node-selection; R CMD BATCH --vanilla ../$<
+
+%.pdf: %.R
+	R CMD BATCH --vanilla $<
+
+hillclimbing:
+	cd node-selection; ./hillclimbing.py node-bw.dat
+
+clean:
+	rm -f *~ \
+	      *.Rout \
+	      *.aux *.log *.out *.bbl *.blg *.pdf
+	rm -f node-selection/*.pdf node-selection/*.Rout  node-selection/*~
+
+.PHONY: all hillclimbing clean
diff --git a/2009/performance/equilibrium.R b/2009/performance/equilibrium.R
new file mode 100644
index 0000000..0395191
--- /dev/null
+++ b/2009/performance/equilibrium.R
@@ -0,0 +1,156 @@
+###
+### Draw graph showing relationship between network bandwidth and
+### performance, by treating the system as a market for throughput.
+###
+### See related blog post for the details:
+###  http://www.lightbluetouchpaper.org/2007/07/18/economics-of-tor-performance/
+###
+### Steven J. Murdoch http://www.cl.cam.ac.uk/~sjm217/, 2007-07-18
+###
+
+###
+### Function declarations
+###
+
+### Plot and annotate a point at the intersection of two curves
+plotIntersect <- function(x, y1=NULL, y2=NULL, i=NULL, ann=NULL, adj=NULL) {
+  if (is.null(i))
+    iIntersect <- which.min(abs(y1-y2))
+  else
+    iIntersect <- i
+  
+  points(x[iIntersect], y1[iIntersect], pch=20, col="darkred")
+
+  if (!is.null(ann))
+    text(x[iIntersect], y1[iIntersect], ann, adj=adj)
+    
+  return(iIntersect)
+}
+
+###
+### Customization
+###
+
+## Number of Tor users (vague estimate)
+uUsersTotal <- 1e5
+
+## Bandwidth (bits/sec) of the Tor network (from
+## http://www.noreply.org/tor-running-routers/) as of July 2007
+rBandwidthTotal <- ( 120     # 120 MByte/sec
+                     * 1e6   # convert to byte/sec
+                     * 8 )   # convert to bit/sec
+
+## Range for plotting number of users
+rgUsers <- c(uUsersTotal* 0.4, uUsersTotal * 1.6)
+
+## Number of points to plot on X axis
+cUserPoints <- 300
+
+###
+### Generate curves
+###
+
+## Number of users
+uUsers <- seq(rgUsers[1], rgUsers[2], length.out=cUserPoints)
+
+## Supply curve: (bandwidth per user) * (number of users) = rBandwidthTotal
+rSupply <- rBandwidthTotal / uUsers
+
+## Supply curve, for a 50% increase in total bandwidth
+rBandwidthTotalNew <- rBandwidthTotal * 1.5
+rSupplyNew <- rBandwidthTotalNew / uUsers
+
+## Demand curve (arbitrary values, just something that looks OK)
+rDemandB <- 5e-12*(uUsers^3) + 6000
+
+## Second demand curve
+rDemandC <-25*(uUsers-20000)^0.5
+## Find intersect between rDemandB and rSupply
+iIntersectOrig <- which.min(abs(rSupply-rDemandB))
+## Find how much rDemandC needs to be shifted to intersect at same point
+rDiff <- rSupply[iIntersectOrig] - rDemandC[iIntersectOrig]
+## Shift curve
+rDemandC <- rDemandC + rDiff
+## Find user count at intersection
+uIntersectOrig <- uUsers[iIntersectOrig]
+
+###
+### Plotting
+###
+
+## Color declarations (selected from colour-blind-safe pallete)
+colDemand <- "#336600"
+colSupply <- "#9900CC"
+
+## Open output file (increase size, so it can be scaled down later and
+## anti-aliased)
+RequestedSize <- Sys.getenv("IMAGESIZE")
+if (RequestedSize=="") {
+  ImageSize <- c(440, 290)
+} else {
+  ImageSize <- as.numeric(strsplit(RequestedSize, split="x")[[1]])
+}
+
+ScaleFactor <- 2
+ImageSize <- ImageSize * ScaleFactor
+pdf("equilibrium.pdf")
+
+## Style declarations
+par(mar=c(2.2,2.2,0.1,0.1))
+par(lwd=3)
+par(col="black")
+
+## Define plotting area and plot supply curve
+plot(uUsers, rSupply, ann=FALSE, frame.plot=FALSE, type="l", col=colSupply, axes=FALSE)
+title(xlab = "Number of users", line=1)
+title(ylab = "Throughput per user", line=1)
+
+## Draw other curves
+lines(uUsers, rSupplyNew, col=colSupply)
+lines(uUsers, rDemandB, col=colDemand)
+lines(uUsers, rDemandC, col=colDemand)
+lines(rep(uIntersectOrig, 2), c(6376.615, 24055.385), col=colDemand)
+
+## Plot and annotate intersection
+iIntersectA <- plotIntersect(uUsers, rSupplyNew, i=iIntersectOrig, ann="A", adj=c(-1.2,0.1))
+iIntersectB <- plotIntersect(uUsers, rSupplyNew, y2=rDemandB, ann="B", adj=c(-2,0.3))
+iIntersectC <- plotIntersect(uUsers, rSupplyNew, y2=rDemandC, ann="C", adj=c(0.5,1.8))
+
+## Arrow showing movement of supply curve
+arrows(60023.34, 17409.23, 73314.21, 18406.15, lwd=1)
+
+## Hide values (since they are basically guesswork and not important anyway)
+axis(1, par("usr")[1:2], label=FALSE)
+axis(2, par("usr")[3:4], label=FALSE)
+
+## Labels
+text(41634.54, 23942.4, "Supply", adj=c(-0.1,0.5))
+text(137844.4, 18810.24, "Demand", adj=c(-0.2,0.5))
+
+## Save output file
+dev.off()
+
+###
+### Collect some stats
+###
+
+## Original values
+uOrig <- uUsers[iIntersectOrig]
+rOrig <- rSupply[iIntersectOrig]
+print(sprintf("Original users: %.0f, bandwidth %.0f", uOrig, rOrig))
+
+## Percentage change
+print(sprintf("Intersect A users: %.0f%%, bandwidth %.0f%%",
+              uUsers[iIntersectA]/uOrig*100, rSupplyNew[iIntersectA]/rOrig*100))
+print(sprintf("Intersect B users: %.0f%%, bandwidth %.0f%%",
+              uUsers[iIntersectB]/uOrig*100, rSupplyNew[iIntersectB]/rOrig*100))
+print(sprintf("Intersect C users: %.0f%%, bandwidth %.0f%%",
+              uUsers[iIntersectC]/uOrig*100, rSupplyNew[iIntersectC]/rOrig*100))
+
+###
+### Old intersection was 94180 users, 10193 bps each
+### Intersection A (constant demand) is 100% of old users, and 150% of bandwidth
+### Intersection B is 118% of old users and 127% of bandwidth
+### Intersection C is 133% of old users and 113% of bandwidth
+###
+
diff --git a/2009/performance/extensiontimes.pdf b/2009/performance/extensiontimes.pdf
new file mode 100644
index 0000000..5b35caf
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+++ b/2009/performance/extensiontimes.pdf
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diff --git a/2009/performance/node-selection/exit-capacity.R b/2009/performance/node-selection/exit-capacity.R
new file mode 100644
index 0000000..ece84e9
--- /dev/null
+++ b/2009/performance/node-selection/exit-capacity.R
@@ -0,0 +1,24 @@
+## Read data
+t <- read.table("exit-capacity.dat", header=TRUE)
+
+## Normalize columns
+t[,2] <- t[,2]/max(t[,2])*100
+t[,3] <- t[,3]/max(t[,3])*100
+
+## Remove uninteresting ports
+ports <- c(22, 25, 80, 119, 135, 443,
+           563, 8080, 6667)
+t <- t[t$port %in% ports,]
+
+## Plot
+pdf("exit-capacity.pdf")
+par(las=1)
+col <- grey(c(1,4)/5)
+barplot(t(as.matrix(t[,2:3])), names=t$port,
+        beside=TRUE, xlab="Port number",
+        ylab="Exit capacity available (%)",
+        col=col, cex.axis=0.8, cex.names=0.8)
+par(xpd=TRUE)
+legend(x="topright", legend=c("Nodes", "Bandwidth"),
+       fill=col, bty="n", inset=c(-0.05,-0.15))
+dev.off()
diff --git a/2009/performance/node-selection/exit-capacity.dat b/2009/performance/node-selection/exit-capacity.dat
new file mode 100644
index 0000000..a23f8cf
--- /dev/null
+++ b/2009/performance/node-selection/exit-capacity.dat
@@ -0,0 +1,14 @@
+port numExits totalBandwidth
+21 115 39282983
+22 116 41341901
+25 5 1530934
+80 315 60290055
+119 16 13026366
+135 7 1709809
+443 326 60956345
+445 8 1730289
+563 102 24056338
+1314 307 55315711
+4661 7 1648369
+8080 307 55318361
+6667 116 41961767
diff --git a/2009/performance/node-selection/hillclimbing.py b/2009/performance/node-selection/hillclimbing.py
new file mode 100755
index 0000000..f294e46
--- /dev/null
+++ b/2009/performance/node-selection/hillclimbing.py
@@ -0,0 +1,252 @@
+#!/usr/bin/python
+
+### Use a simple hillclimbing algorithm to find the selection
+### probability vector for Tor nodes which minimizes the expected
+### latency. Takes as input a file, one node per line, specifying
+### bandwidth capacity and usage, both in bytes/sec, space separated.
+
+### Copyright (c) 2008-2009, Steven J. Murdoch
+### 
+### Redistribution and use in source and binary forms, with or without
+### modification, are permitted provided that the following conditions are
+### met:
+### 
+###     * Redistributions of source code must retain the above copyright
+### notice, this list of conditions and the following disclaimer.
+### 
+###     * Redistributions in binary form must reproduce the above
+### copyright notice, this list of conditions and the following disclaimer
+### in the documentation and/or other materials provided with the
+### distribution.
+### 
+###     * Neither the names of the copyright owners nor the names of its
+### contributors may be used to endorse or promote products derived from
+### this software without specific prior written permission.
+### 
+### THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+### "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+### LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+### A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+### OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+### SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+### LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+### DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+### THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+### (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+### OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+import sys
+
+if __name__=="__main__":
+    import matplotlib
+    matplotlib.use('TkAgg') # do this before importing pylab
+
+import matplotlib.pyplot as plt
+from numpy import *
+
+import time
+
+import threading
+
+## Number of iterations before narrowing adjustment
+ILIMIT = 1000
+## Maximum number of iterations before exiting
+NUM=8000
+## Fraction of network capacity which is being used (set to None to
+## use actual network data
+USAGE=0.5
+
+def wait(x, p, L, isbroken):
+    '''Calculate waiting time at each node (assuming M/D/1 queue)'''
+    z = p*L*x
+    a = z*x
+    b = 2.0*(1.0-z)
+    return x + a/b
+
+def calc_waittime(prob, xs, totalusage, debug=False):
+    '''Function to optimize'''
+    #print "info", prob[0], nodebw[0], totalusage
+    ## Check that probabilities really add up to 1
+    assert abs(1.0 - prob.sum()) < 1e-6
+
+    ## Find overloaded nodes
+    loading_factor = xs*prob*totalusage
+    broken = (loading_factor < 0.0) | (loading_factor > 1.0)
+    if broken.any():
+        return None
+    ## Number of broken nodes
+    #print "Broken", len([x for x in broken if x])
+
+    ## Calculate weighted waiting time
+    wtime = wait(xs, prob, totalusage, False)
+    wtime[broken] = -1.0
+
+    ## Get maximimum waiting time for non-broken nodes
+    cap = wtime.max()
+
+    ## Calculate capped weighted waiting time
+    wtime[broken] = cap
+    wwtime = wtime * prob
+    
+    return wwtime
+
+def load_data(fn):
+    fh = file(fn, "rt")
+
+    ## Load in node bandwidths and total network usage
+    totalusage = float64(0.0)
+    totalbw = 0.0
+    nodebw = []
+    for line in fh:
+        bw, usage = line.split()
+        bw = float(bw)/512.0
+        usage = float(usage)/512.0
+        ## Ignore nodes with BW outside acceptable range
+        if bw<=0.0 or bw >= (10.0e6/512.0):
+            continue
+        totalusage += usage
+        totalbw += bw
+        nodebw.append(bw)
+
+    # Node selection probabilities
+    pu = array([1.0/len(nodebw)] * len(nodebw)) # uniform
+    pt = array([bw / totalbw for bw in nodebw]) # Tor
+
+    anodebw = array(nodebw)
+    xs = 1.0/anodebw
+
+    ## Weighted waiting time for Tor and uniform weighting
+    x = calc_waittime(pt, xs, totalusage, True)
+    y = calc_waittime(pu, xs, totalusage, True)
+
+    print "E(Tor)", sum(x)
+    print "E(Uniform)", sum(y)
+
+    return totalusage, anodebw, x,y
+
+def optimize(sprob, ss, xs, totalusage, amount):
+    l = len(sprob)
+    i = 0
+    while True:
+        i += 1
+        ## Take copy of base
+        prob = sprob.copy()
+        
+        ## Find elements to change
+        a = random.randint(0, l)
+        b = random.randint(0, l)
+
+        ## Clip amount to modify by
+        if prob[a] < amount:
+            damount = prob[a]
+        else:
+            damount = amount
+
+        ## Move between two elements
+        prob[a] -= damount
+        prob[b] += damount
+
+        ## Calculate the function to optimize
+        wwait = calc_waittime(prob, xs, totalusage, True)
+        if wwait is None:
+            ## We reached a bad state, give up
+            continue
+
+        ## If this is an improvement, return new probabilities
+        s = wwait.sum()
+        if s < ss:
+            return i, prob, wwait, s
+        if i > ILIMIT:
+            ## We reached the maximum limit, return the original parameters
+            wwait = calc_waittime(sprob, xs, totalusage, True)
+            return i, sprob, wwait, wwait.sum()
+
+def save(anodebw, prob, xs, totalusage, count):
+    fh = file("nodeprob-%06d"%count, "wt")
+    anodebw.dump(fh)
+    prob.dump(fh)
+    xs.dump(fh)
+    totalusage.dump(fh)
+    fh.close()
+    #fh.write("bw prob\n")
+    #for i in range(len(anodebw)):
+    #    fh.write("%f %f\n"%(anodebw[i],prob[i]))
+    #fh.close()
+
+class Animator(threading.Thread):
+    def __init__(self, prob, totalusage, anodebw, fig, ax):
+        threading.Thread.__init__(self)
+        self.prob = prob
+        self.totalusage = totalusage
+        self.anodebw = anodebw
+        self.xs = 1.0/anodebw
+
+        self.anodebw = anodebw
+        self.fig = fig
+        self.ax = ax
+    
+    def run(self):
+        wwait = calc_waittime(self.prob, self.xs, self.totalusage)
+        s = wwait.sum()
+        #line, = self.ax.plot(self.anodebw, wwait.cumsum())
+        line, = self.ax.plot(wwait.cumsum())
+        amount = 1.0/2
+
+        ## Main optimization loop
+        i = 0
+        while i < NUM:
+            i += 1
+            cnt, self.prob, wwait, s = optimize(self.prob, s, self.xs, self.totalusage, amount)
+            print "%6d %4d %f"%(i, cnt, s)
+            if cnt > ILIMIT:
+                ## We tried for too long to optimize so reduce the
+                ## amount to modify probabilities
+                amount /= 2.0
+                print "Narrowing... to", amount
+                save(self.anodebw, self.prob, self.xs, self.totalusage, i)
+                
+            line.set_ydata(cumsum(wwait))
+            self.fig.canvas.draw()
+        ## Save the intermediate result
+        save(self.anodebw, self.prob, self.xs, self.totalusage, i)
+        sys.exit()
+
+def main():
+    if len(sys.argv) != 2:
+        print "Usage: hillclimbing.py FILE"
+        sys.exit()
+
+    ## Load data file, where each line is:
+    ##  BANDWIDTH USAGE
+    ## Where both are in kB/s
+    fn = sys.argv[1]
+    totalusage, anodebw, x, y = load_data(fn)
+
+    ## Try for different levels of bandwidth usage
+    #totalusage = anodebw.sum()*(1-1e-6)
+    #totalusage = anodebw.sum()*(1-1e-3)
+    #totalusage = anodebw.sum()*(1-1e-1)
+    #totalusage = anodebw.sum()*(0.75)
+    #totalusage = anodebw.sum()*(0.5)
+    #totalusage = anodebw.sum()*(0.25)
+    if USAGE != None:
+        totalusage = anodebw.sum()*USAGE
+    
+    pt = anodebw/anodebw.sum()
+    
+    plt.ioff()
+    fig = plt.figure()
+    ax = fig.add_subplot(111)
+
+    ## Optimize selection probabilities
+    anim = Animator(pt, totalusage, anodebw, fig, ax)
+
+    win = fig.canvas.manager.window
+    fig.canvas.manager.window.after(100, anim.start)
+
+    plt.show()
+
+if __name__=="__main__":
+    main()
+
+# vim: ai ts=4 sts=4 et sw=4
diff --git a/2009/performance/node-selection/marginal-bandwidth.R b/2009/performance/node-selection/marginal-bandwidth.R
new file mode 100644
index 0000000..2b00c77
--- /dev/null
+++ b/2009/performance/node-selection/marginal-bandwidth.R
@@ -0,0 +1,33 @@
+## Load in data files
+tt <- read.table("opt_tor.pickle.dat", header=TRUE)
+
+## Node bandwidth
+bw <- tt$bw
+
+## Calculate network capcity
+capacity <- sum(bw)
+
+## Calculate selection probabilties
+torProb <- bw/capacity
+optProb <- tt$prob
+
+## Calculate bandwidth given to each user,
+##  assuming 1 million users
+torShare <- bw/(torProb*1e6)
+optShare <- bw/(optProb*1e6)
+
+## Output graph
+col <- rainbow(8)
+ylim <- range(c(torShare, optShare), finite=TRUE)
+pdf("marginal-bandwidth.pdf")
+plot(bw, torShare, ylim=ylim, ylab="Bandwidth per user (cells/s)",
+     log="y", type="l", xlab="Node bandwidth (cells/s)",
+     main="Comparison of bandwidth at each node,\nfor Tor and Optimized weighting algorithms",
+     frame.plot=FALSE, lwd=2)
+lines(bw, optShare, type="b", col=col[8])
+
+par(xpd=NA)
+text(x=rep(max(bw), 2), y=c(torShare[length(bw)], optShare[length(bw)]), pos=3, c("Tor", "Optimized"))
+
+## Close output device
+dev.off()
diff --git a/2009/performance/node-selection/node-bw.dat b/2009/performance/node-selection/node-bw.dat
new file mode 100644
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diff --git a/2009/performance/node-selection/opt_1e-3.pickle.dat b/2009/performance/node-selection/opt_1e-3.pickle.dat
new file mode 100644
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diff --git a/2009/performance/node-selection/opt_1e-6.pickle.dat b/2009/performance/node-selection/opt_1e-6.pickle.dat
new file mode 100644
index 0000000..ae46599
--- /dev/null
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diff --git a/2009/performance/node-selection/plot-node-selection.R b/2009/performance/node-selection/plot-node-selection.R
new file mode 100644
index 0000000..b302e6a
--- /dev/null
+++ b/2009/performance/node-selection/plot-node-selection.R
@@ -0,0 +1,63 @@
+## Load in data files
+t1 = read.table("opt_1e-6.pickle.dat", header=TRUE)
+t2 = read.table("opt_1e-3.pickle.dat", header=TRUE)
+t3 = read.table("opt_1e-1.pickle.dat", header=TRUE)
+t4 = read.table("opt_0.75.pickle.dat", header=TRUE)
+t5 = read.table("opt_0.5.pickle.dat", header=TRUE)
+t6 = read.table("opt_0.25.pickle.dat", header=TRUE)
+t7 = read.table("opt_0.1.pickle.dat", header=TRUE)
+tt = read.table("opt_tor.pickle.dat", header=TRUE)
+
+## Calculate selection probabilties that Tor uses
+o = t1$bw/sum(t1$bw)
+
+#plot(t1$bw, cumsum(t1$prob), col="red", type="l")
+#lines(t1$bw, cumsum(t2$prob), col="pink")
+#lines(t1$bw, cumsum(t3$prob), col="blue")
+#lines(t1$bw, cumsum(t4$prob), col="orange")
+#lines(t1$bw, cumsum(t5$prob), col="purple")
+#lines(t1$bw, cumsum(tt$prob))
+
+## Plot probabiltieis
+pdf("optimum-selection-probabilities.pdf")
+col <- rainbow(8)
+ plot(t1$bw, t1$prob, col=col[1], type="b", ylim=c(0,0.035),xlab="Bandwidth (cells/s)",
+      ylab="Selection probability", frame.plot=FALSE)
+lines(t1$bw, t2$prob, col=col[2], type="b")
+lines(t1$bw, t3$prob, col=col[3], type="b")
+lines(t1$bw, t4$prob, col=col[4], type="b")
+lines(t1$bw, t5$prob, col=col[5], type="b")
+
+## These are too messy
+##lines(t1$bw, t6$prob, col=col[6], type="b")
+##lines(t1$bw, t7$prob, col=col[7], type="b")
+
+lines(t1$bw, tt$prob,col=col[8], type="b")
+lines(t1$bw, o, type="l", lwd=2)
+
+## Annotate graph
+title(main="Optimum node selection probability")
+x <- rep(8254.383, 4)
+y <- c(0.03453717, 0.02553347, 0.02219589, 0.02048830)
+par(xpd=TRUE)
+text(x,y,c("50%", "75%", "90%", ">99%"), adj=c(0,0.5))
+dev.off()
+
+## Plot probabilities relative to what Tor does
+pdf("relative-selection-probabilities.pdf")
+ plot(t1$bw, t1$prob-o, col=col[1], type="b", xlab="Bandwidth (cells/s)",
+      ylab="Selection probability - Tor's selection probability", frame.plot=FALSE, ylim=c(-0.002,0.015))
+lines(t1$bw, t2$prob-o, col=col[2], type="b")
+lines(t1$bw, t3$prob-o, col=col[3], type="b")
+lines(t1$bw, t4$prob-o, col=col[4], type="b")
+lines(t1$bw, t5$prob-o, col=col[5], type="b")
+lines(t1$bw, tt$prob-o,col=col[8], type="b")
+
+lines(range(t1$bw), rep(0,2), lty=2)
+
+title(main="Selection probabilility compared to Tor")
+x <- rep(8111.669, 4)
+y <- c(1.396915e-02, 4.962766e-03, 1.635106e-03, 7.446809e-06)
+par(xpd=TRUE)
+text(x,y,c("50%", "75%", "90%", ">99%"), adj=c(0,0.5))
+dev.off()
diff --git a/2009/performance/node-selection/vary-network-load.R b/2009/performance/node-selection/vary-network-load.R
new file mode 100644
index 0000000..e2b96dd
--- /dev/null
+++ b/2009/performance/node-selection/vary-network-load.R
@@ -0,0 +1,93 @@
+## The waiting time for a node (assuming no overloaded nodes)
+## x: 1/bandwidth
+## q: selection probability
+## L: network load
+wait <- function(x,q,L) {
+  a <- q*L*x*x
+  b <- 2*(1-q*x*L)
+  return (x + a/b)
+}
+
+## The weighted wait time
+wwait <- function(x,q,L) {
+  return (q*wait(x,q,L))
+}
+
+## Average latency, returning NA for infinite
+netLatency <- function(x, q, L) {
+  if (any(x*q*L <0 | x*q*L >1)) {
+    return (NA)
+  } else {
+    return (sum(wwait(x, q, L)))
+  }
+}
+
+## Load in data files
+t1 <- read.table("opt_1e-6.pickle.dat", header=TRUE)
+t2 <- read.table("opt_1e-3.pickle.dat", header=TRUE)
+t3 <- read.table("opt_1e-1.pickle.dat", header=TRUE)
+t4 <- read.table("opt_0.75.pickle.dat", header=TRUE)
+t5 <- read.table("opt_0.5.pickle.dat", header=TRUE)
+t6 <- read.table("opt_0.25.pickle.dat", header=TRUE)
+t7 <- read.table("opt_0.1.pickle.dat", header=TRUE)
+tt <- read.table("opt_tor.pickle.dat", header=TRUE)
+
+## Node bandwidth and reciprocal
+bw <- t1$bw
+x <- 1/bw
+
+## Calculate network capcity
+capacity <- sum(bw)
+
+## Calculate selection probabilties that Tor uses
+torProb <- bw/sum(bw)
+
+## Load values to try
+varyLoad <- seq(0.01,0.93,0.01)
+latencyTor <- c()
+latency3 <- c()
+latency4 <- c()
+latency5 <- c()
+for (L in varyLoad) {
+  latencyTor <- append(latencyTor,
+                       netLatency(x, torProb, capacity*L))
+  latency3   <- append(latency3,
+                       netLatency(x, t3$prob, capacity*L))
+  latency4   <- append(latency4,
+                       netLatency(x, t4$prob, capacity*L))
+  latency5   <- append(latency5,
+                       netLatency(x, t5$prob, capacity*L))
+}
+
+## Output graph
+pdf("vary-network-load.pdf")
+
+## Set up axes
+yFac <- 1000
+xFac <- 100
+
+ylim <- range(na.omit(c(latencyTor, latency3, latency4, latency5)))
+ylim <- c(0,0.015) * yFac
+xlim <- c(0,1) * xFac
+plot(NA, NA,
+     xlim=xlim, ylim=ylim,
+     frame.plot=FALSE,
+     xlab = "Network load (%)",
+     ylab = "Average queuing delay (ms)",
+     main = "Latency for varying network loads")
+
+## Plot data
+col <- rainbow(8)
+lines(varyLoad*xFac, latency3*yFac, col=col[3])
+lines(varyLoad*xFac, latency4*yFac, col=col[4])
+lines(varyLoad*xFac, latency5*yFac, col=col[5])
+lines(varyLoad*xFac, latencyTor*yFac)
+
+## Plot points at which selection probabilities are optimal
+par(xpd=TRUE)
+points(c(0.9, 0.75, 0.5, 1)*xFac, rep(par("usr")[3], 4),
+       col=c(col[3:5], "black"), pch=20,
+       cex=2)
+
+## Close output device
+dev.off()
diff --git a/2009/performance/perf-todo b/2009/performance/perf-todo
new file mode 100644
index 0000000..b02f690
--- /dev/null
+++ b/2009/performance/perf-todo
@@ -0,0 +1,170 @@
+
+performance roadmap (elaboration of sec 3.1 from the 3-year roadmap)
+
+Coderman:
+  - 1.1, UDP-Tor.
+    - Explore how hard it would be to get a user-space TCP stack with
+      suitable properties.
+    - Help Ian and Chris deploy a testbed (prototype) network
+
+Roger, Steven:
+  - 1.2, new circuit window sizes
+    - Conclude whether the transition period will hurt as much as it
+      seems like it will.
+    * Pick a lower number, and switch to it.
+Metrics: gather queue sizes from relays so we have a better sense of
+what's actually going on.
+
+Roger, others:
+  * 2.1, squeeze loud circuits
+    - Evaluate the code to see what stats we can keep about circuit use.
+    - Write proposals for various meddling. Look at the research papers
+      that Juliusz pointed us to. Ask our systems friends. Plan to put
+      a lot of the parameters in the consensus, so we can tune it with
+      short turnaround times.
+
+  - 2.4, rate-limit at clients
+    - Consider ways to choose what rate limits to use.
+    - Reconsider in the context of 2.1 proposals above
+
+  - 2.5, Default exit policies
+    * Change Vidalia's default exit policy to not click "other protocols".
+    D let exit relays specify some destination networks/ports that get
+      rate limited further.
+Metrics: At what fraction of exit relays allowing a given port out
+do connections to that port start to suffer? That is, if even 5%
+of the relays (by bandwidth) allowing a port to exit are enough for
+most connections to that port to work fine, then we're going to have
+a tough time pushing unwanted traffic off the network just by changing
+some exit policies. (Alas, this question is messy because it pretends
+that the amount of traffic generated for port x is independent of x.
+How to phrase it so it's more useful?)
+
+  - 2.6, tell users not to file-share
+    * Put statement on the Tor front page
+    * Put statement on the download pages too
+    * And the FAQ
+    D Should we put some sort of popup in Vidalia? How to detect?
+    - Contact Azureus people and get them to fix their docs, and/or
+      remove the feature, and/or pop up a warning.
+
+  - 3.1.2, Tor weather
+    * Link to it from the Tor relay page
+    * and the torrc.sample
+M   - Put a link in Vidalia's relay interface
+I   * Implement time-to-notification (immediate, a day, a week)
+N   - Build a plan for how Tor weather can learn about hibernating
+      relays if we take them out of the v3 consensus and we obsolete v2.
+
+Steven, with help from Jake
+  - 3.1.3, facebook app
+    - ? [Steven should fill this in]
+
+  - 3.6, incentives to relay
+    - Sort out how to do circuit priority in practice. I think the only
+      answer here is to make different TLS connections for different
+      priorities. (Otherwise other people can free-ride on your
+      high-priority conns.)
+Metrics: what period of time should the gold star status last? That is,
+What period of time, taken as a rolling snapshot of which relays are
+present in the network, guarantees a sufficiently large anonymity set
+for high-priority relays?
+    D design the actual crypto for certs, and build something.
+
+  - 3.7, clients automatically become relays
+    D what's the algorithm for knowing when you should upgrade from
+      being a client to a bridge, and from being a bridge to a relay?
+    D implement enough internal performance/stability tracking for
+      clients to be able to know when they've crossed a threshold.
+    (both of these only really doable once we've done more work on
+     looking at anonymity risks)
+
+  - 4.1, balance traffic better
+    * Steven and Mike should decide if we should do Steven's plan
+      (rejigger the bandwidth numbers at the authorities based on
+      Steven's algorithm), or Mike's plan (relay scanning to identify
+      the unbalanced relays and fix them on the fly), or both.
+    * Figure out how to actually modify bandwidths in the consensus. We
+      may need to change the consensus voting algorithm to decide what
+      bandwidth to advertise based on something other than median:
+      if 7 authorities provide bandwidths, and 2 are doing scanning,
+      then the 5 that aren't scanning will outvote any changes. Should
+      all 7 scan? Should only some vote? Extra points if it doesn't
+      change all the numbers every new consensus, so consensus diffing
+      is still practical.
+    - Make clients actually use the bandwidth numbers in the consensus.
+    - Should a relay with rate/burst of 100/100 have the same capacity
+      as a relay with rate/burst of 100/500?
+
+  - 4.2, getting better bandwidth estimates
+Metrics: how accurate are the ten-second-bandwidth-burst advertised
+numbers anyway, in terms of guessing capacity? Steven says we're at 50%
+load, but is that just because our advertised bandwidth is a function
+of our recent load?
+    - What is "true" capacity anyway?
+Metrics: What other algorithms can we use to produce a more accurate
+advertised bandwidth?
+    - Compare Mike's active probe data to the capacities. Where there
+      are differences, which one is less wrong?
+    - We should instrument Tor relays to compute peer bandwidths. But
+      to do that, we need to understand the anonymity implications of
+      publishing all this aggregated traffic data. Is it really safe
+      enough?
+
+  - 4.3, Micah's latency plan
+    - Hear some numbers from him about how good it can be and how
+      reliable it can be, in theory.
+    - Micah writes a proposal to make Tor relays compute their
+      coordinates, so we can do more direct measurements of whether it
+      should work.
+
+  - 4.4, Looking at exit policy when picking relays
+    D pending results from section 4.1
+
+  - 4.5, Older entry guards are overloaded
+Metrics: compare "how fast each relay should be based on its advertised
+capacity" with "how long the relay has had the guard flag", to see how
+big an issue this is really.
+Metrics: How many relays does a client touch over time x, given that they
+drop old guards y seconds after choosing them? Even if y is infinite,
+we have some number based on guards going away. How does x grow as we
+reduce y?
+    * Pick a conservative y like six months, and implement.
+    D Reduce y based on the results of the metrics. (don't partition
+      clients too far by tor version though.)
+Metrics: if we were more flexible in our Guard stability criteria, how
+many more relays would get the Guard flag? How would that influence the
+above numbers? I'd like to become very flexible so more than half of
+the relays get to be guards. Are there cutoffs that are reasonable and
+fit naturally into the data from the past few years?
+Metrics: if we're more flexible in our Guard speed criteria, how does
+that impact the speed that clients should expect? Originally we avoided
+20KB/s relays as guards, because "then clients can't ever get more than
+20KB/s". But they can't get that now anyway.
+    - Write a proposal for what new criteria we should use, and why
+      that'll safely increase the guard set.
+
+  - 5.1, better round-robin
+
+
+  - 5.2, better timeouts for giving up on circuits/streams
+    * clients gather data about circuit timeouts, and then abandon
+      circuits that take more than a std dev above that.
+Metrics: Right now we abandon the circuit after 10 seconds for the first
+try. What are the download stats if we don't abandon it? What "try a
+new one" timeouts will minimize the number of circuits we go through,
+while also minimizing the time-until-user-gets-website?
+    - Change Tor so it launches a new stream attempt on schedule, but
+      is willing to use the original attempt if it completes earlier.
+    D same with stream timeouts.
+
+  - 5.3, try extending a few other places
+
+  - 5.4, bundle the first data cell with the begin cell
+
+  - 6.1, directory overhead
+    * deploy proposal 158, the "microdescriptor" plan
+
+  - 6.2, TLS overhead
+    D can wait
+
diff --git a/2009/performance/performance.bib b/2009/performance/performance.bib
new file mode 100644
index 0000000..4090376
--- /dev/null
+++ b/2009/performance/performance.bib
@@ -0,0 +1,203 @@
+@InProceedings{tuneup,
+  author =       {Robin Snader and Nikita Borisov},
+  title =        {A Tune-up for {Tor}: Improving Security and Performance in the {Tor} Network},
+  booktitle = {Network & Distributed System Security Symposium},
+  year =         {2008},
+  month =        {February},
+  publisher = {Internet Society},
+}
+
+@inproceedings{mccoy-pet2008,
+  title = {Shining Light in Dark Places: Understanding the {Tor} Network}, 
+  author = {Damon McCoy and Kevin Bauer and Dirk Grunwald and Tadayoshi Kohno and Douglas
+        Sicker}, 
+  booktitle = {Proceedings of the Eighth International Symposium on Privacy Enhancing
+        Technologies (PETS 2008)}, 
+  year = {2008}, 
+  month = {July}, 
+  address = {Leuven, Belgium}, 
+  pages = {63--76}, 
+  editor = {Nikita Borisov and Ian Goldberg}, 
+  publisher = {Springer}, 
+  www_section = {Misc}, 
+  bookurl = {http://petsymposium.org/2008/%7D, 
+  www_pdf_url = {http://www.cs.washington.edu/homes/yoshi/papers/Tor/PETS2008_37.pdf%7D, 
+  www_tags = {selected}, 
+}
+
+@inproceedings{murdoch-pet2008,
+  title = {Metrics for Security and Performance in Low-Latency Anonymity Networks}, 
+  author = {Steven J. Murdoch and Robert N. M. Watson}, 
+  booktitle = {Proceedings of the Eighth International Symposium on Privacy Enhancing
+        Technologies (PETS 2008)}, 
+  year = {2008}, 
+  month = {July}, 
+  address = {Leuven, Belgium}, 
+  pages = {115--132}, 
+  editor = {Nikita Borisov and Ian Goldberg}, 
+  publisher = {Springer}, 
+  www_section = {traffic}, 
+  bookurl = {http://petsymposium.org/2008/%7D, 
+  www_pdf_url = {http://www.cl.cam.ac.uk/~sjm217/papers/pets08metrics.pdf%7D, 
+  www_tags = {selected}, 
+}
+
+@Misc{tls-cbc,
+  author = 	 {Bodo M"{o}ller},
+  title = 	 {Security of {CBC} Ciphersuites in {SSL}/{TLS}: Problems and Countermeasures},
+  month = 	 {May},
+  year = 	 {2004},
+  note = 	 {\url{http://www.openssl.org/~bodo/tls-cbc.txt%7D%7D,
+}
+
+@Misc{tls-empty-record,
+  author = 	 {Ben Laurie},
+  title = 	 {On {TLS} Empty Record Insertion},
+  month = 	 {December},
+  howpublished = {Email to or-dev@freehaven.net, in thread ``Re: Empty {TLS} application records being injected in {Tor} streams''},
+  year = 	 {2008},
+  note = 	 {\url{http://archives.seul.org/or/dev/Dec-2008/msg00005.html%7D%7D,
+}
+
+@Misc{circuit-window,
+  author = 	 {Csaba Kiraly},
+  title = 	 {Effect of {Tor} window size on performance},
+  month = 	 {February},
+  howpublished = {Email to or-dev@freehaven.net},
+  year = 	 {2009},
+  note = 	 {\url{http://archives.seul.org/or/dev/Feb-2009/msg00000.html%7D%7D,
+}
+
+@mastersthesis{reardon-thesis,
+  title = {Improving {Tor} using a {TCP}-over-{DTLS} Tunnel}, 
+  author = {Reardon, Joel}, 
+  school = {University of Waterloo}, 
+  year = {2008}, 
+  month = {September}, 
+  www_tags = {selected}, 
+  www_abstract_url = {http://hdl.handle.net/10012/4011%7D, 
+  www_section = {Anonymous communication}, 
+  www_pdf_url = {http://uwspace.uwaterloo.ca/bitstream/10012/4011/1/thesis.pdf%7D,
+  note = {\url{http://hdl.handle.net/10012/4011%7D%7D
+}
+
+@TechReport{DTLS,
+  author =       {Rescorla, E. and Modadugu, N.},
+  title =        {Datagram Transport Layer Security},
+  institution =  {IETF},
+  year =         {2006},
+  type =         {RFC},
+  number =       {4347},
+  month =        {April}
+}
+
+@TechReport{tor-l3-approach,
+  author = 	 {Kiraly, C. and Bianchi G. and Lo Cigno, R.},
+  title = 	 {Solving Performance Issues in Anonymization Overlays with a {L}3 approach},
+  institution =  {University of Trento},
+  year = 	 {2008},
+  number = 	 {DISI-08-041},
+  month = 	 {September},
+  note = 	 {version 1.1, \url{http://disi.unitn.it/locigno/preprints/TR-DISI-08-041.pdf%7D%7D,
+}
+
+@Misc{daytona,
+  author = 	 {Prashant Pradhan and Srikanth Kandula and Wen Xu and Anees Shaikh and Erich Nahum},
+  title = 	 {Daytona: A User-Level {TCP} Stack},
+  year = 	 {2002},
+  note = 	 {\url{http://nms.lcs.mit.edu/~kandula/data/daytona.pdf%7D%7D,
+}
+
+@InProceedings{tcptiming,
+  author =       {Kohno, Tadayoshi and Broido, Andre and {claffy}, {kc}},
+  title =        {Remote Physical Device Fingerprinting},
+  booktitle =    {IEEE Symposium on Security and Privacy},
+  pages =        {211--225},
+  year =         {2005},
+  address =      {Oakland, CA, US},
+  month =        {May},
+  publisher =    {IEEE Computer Society},
+}
+
+@inproceedings{HotOrNot,
+  title = {Hot or Not: Revealing Hidden Services by their Clock Skew}, 
+  author = {Steven J. Murdoch}, 
+  booktitle = {CCS '06: Proceedings of the 9th ACM Conference on Computer and Communications Security}, 
+  pages = {27--36},
+  year = {2006}, 
+  month = {October}, 
+  address = {Alexandria, VA, US},
+  publisher =    {ACM Press},
+}
+
+@TechReport{IPsec,
+  author =       {Kent, S. and Seo, K.},
+  title =        {Security Architecture for the Internet Protocol},
+  institution =  {IETF},
+  year =         {2005},
+  type =         {RFC},
+  number =       {4301},
+  month =        {December}
+}
+
+@inproceedings{wendolsky-pet2007,
+  title = {Performance Comparison of low-latency Anonymisation Services from a User Perspective}, 
+  author = {Rolf Wendolsky and Dominik Herrmann and Hannes Federrath}, 
+  booktitle = {Proceedings of the Seventh Workshop on Privacy Enhancing Technologies (PET 2007)}, 
+  year = {2007}, 
+  month = {June}, 
+  address = {Ottawa, Canada}, 
+  editor = {Nikita Borisov and Philippe Golle}, 
+  publisher = {Springer}, 
+  www_section = {Anonymous communication}, 
+  bookurl = {http://petworkshop.org/2007/%7D, 
+  www_pdf_url = {http://petworkshop.org/2007/papers/PET2007_preproc_Performance_comparison.pd...,
+}
+
+@Misc{economics-tor,
+  author = 	 {Steven J. Murdoch},
+  title = 	 {Economics of {Tor} performance},
+  howpublished = {Light Blue Touchpaper},
+  month = 	 {18 July},
+  year = 	 {2007},
+  note = 	 {\url{http://www.lightbluetouchpaper.org/2007/07/18/economics-of-tor-performance/%...,
+}
+
+@inproceedings{hs-attack,
+  title = {Locating Hidden Servers},
+  author = {Lasse {\O}verlier and Paul Syverson},
+  booktitle = {Proceedings of the 2006 IEEE Symposium on Security and Privacy},
+  year = {2006},
+  month = {May},
+  publisher = {IEEE CS},
+}
+
+@InProceedings{overlier:pet2007,
+  author =       {Lasse {\O}verlier and Paul Syverson},
+  title =        {Improving Efficiency and Simplicity of {Tor} Circuit
+                  Establishment and Hidden Services},
+   booktitle =   {Privacy Enhancing Technologies: 7th International
+                  Symposium, {PET} 2007},
+   pages =       {134--152},
+   year =        {2007},
+   editor =      {Nikita Borisov and Philippe Golle},
+  publisher =    {Springer-Verlag, LNCS 4776}
+}
+
+@inproceedings{kate-pet2007,
+  title = {Pairing-Based Onion Routing}, 
+  author = {Aniket Kate and Greg Zaverucha and Ian Goldberg}, 
+  booktitle = {Proceedings of the Seventh Workshop on Privacy Enhancing Technologies (PET
+        2007)}, 
+  year = {2007}, 
+  month = {June}, 
+  address = {Ottawa, Canada}, 
+  editor = {Nikita Borisov and Philippe Golle}, 
+  publisher = {Springer}, 
+  www_section = {Anonymous communication}, 
+  bookurl = {http://petworkshop.org/2007/%7D, 
+  www_pdf_url = {http://petworkshop.org/2007/papers/PET2007_preproc_Pairing_based.pdf%7D, 
+  www_remarks = {Describes an circuit-establishment protocol for a Tor-like network. Uses
+        Pairing- and Identity-Based crypto for efficiency, at the expense of having all
+        private keys generated by a trusted IBE authority.}, 
+}
diff --git a/2009/performance/performance.tex b/2009/performance/performance.tex
new file mode 100644
index 0000000..f75d83c
--- /dev/null
+++ b/2009/performance/performance.tex
@@ -0,0 +1,1775 @@
+\documentclass{article}
+%\usepackage{palatcm}
+\usepackage{fancyhdr}
+\usepackage{color}
+\usepackage{graphicx}
+\usepackage{fullpage}
+\setlength{\headheight}{12pt}
+\setlength{\headsep}{12pt}
+\addtolength{\textheight}{-24pt}
+
+\usepackage{prettyref}
+\newrefformat{sec}{Section~\ref{#1}}
+\newrefformat{tab}{Table~\ref{#1}}
+\newrefformat{fig}{Figure~\ref{#1}}
+\newrefformat{cha}{Chapter~\ref{#1}}
+\newrefformat{eqn}{Equation~\ref{#1}}
+\newrefformat{apx}{Appendix~\ref{#1}}
+
+\usepackage{hyperref}
+\hypersetup{colorlinks, citecolor=MyDarkRed, filecolor=MyDarkBlue, linkcolor=MyDarkRed, urlcolor=MyDarkBlue}
+
+\definecolor{MyDarkBlue}{rgb}{0, 0.0, 0.45}
+\definecolor{MyDarkRed}{rgb}{0.45, 0.0, 0}
+\definecolor{MyDarkGreen}{rgb}{0, 0.45, 0}
+\definecolor{MyLightGray}{gray}{.90}
+\definecolor{MyLightGreen}{rgb}{0.5, 0.99, 0.5}
+
+\usepackage{xspace}
+\makeatletter
+\newcommand{\ie}{i.e.@\xspace}
+\newcommand{\eg}{e.g.@\xspace}
+\newcommand{\cf}{cf.@\xspace}
+\newcommand{\vs}{vs.@\xspace}
+\newcommand{\wrt}{w.r.t.@\xspace}
+\newcommand{\etal}{\textit{et al.@\xspace}}
+\newcommand{\detal}{\textit{et al.}}
+\newcommand{\ia}{inter alia\xspace}
+\makeatother
+
+\newcommand{\thetitle}{Performance Improvements on Tor}
+\title{\thetitle\or,\Why Tor is slow and what we're going to do about it}
+
+%% Please add your name in here if you contribute
+\author{Roger Dingledine \and Steven J. Murdoch}
+
+\pagestyle{fancy}
+\fancyhf{}
+
+\fancyhead[C]{\thetitle}
+\fancyfoot[C]{\thepage}
+
+\begin{document}
+
+\thispagestyle{plain}
+
+\maketitle
+
+As Tor's user base has grown, the performance of the Tor network has
+suffered. This document describes our current understanding of why Tor
+is slow, and lays out our options for fixing it.
+
+Over the past few years, our funding (and thus our development effort)
+has focused on usability and blocking-resistance.
+We've come up with a portable self-contained Windows bundle;
+deployed tools to handle the upcoming censorship arms race; further
+developed supporting applications like Vidalia, Torbutton, and Thandy;
+made it easier for users to be relays by adding better rate limiting and
+an easy graphical interface with uPnP support; developed an effective
+translation and localization team and infrastructure; and spread
+understanding of Tor in a safe word-of-mouth way that stayed mostly
+under the radar of censors.
+
+%s we've been adding these features, people around the world have
+%ontinued to realize that they want privacy online, and
+%Tor's user base has grown larger than the current network can handle.
+% At
+%the same time, Tor's flexibility in terms of handling many protocols has
+%bitten us because a small number of people are loading down the network
+%with file sharing traffic.
+
+%Tor remains slow because we're lagging behind in deploying some of
+%the new research ideas to handle load better, and because we haven't
+%increased the capacity of the network to handle the new load.
+
+In parallel to adding these features, we've also been laying the
+groundwork for performance improvements. We've been working with academics
+to write research papers on improving Tor's speed, funding
+some academic groups directly to come up with prototypes, and
+thinking hard about how to safely collect metrics about network
+performance. But it's becoming increasingly clear that we're not going
+to produce the perfect answers just by thinking hard. We need to roll
+out some attempts at solutions, and use the experience to get better
+intuition about how to really solve the problems.
+
+%better understanding of anonymity (research)
+%Two approaches: "research conclusively first" vs "roll it out and see"
+
+We've identified six main reasons why the Tor network is slow.
+Problem #1 is that Tor's congestion control does not work well. We need
+to come up with ways to let ``quiet'' streams like web browsing
+co-exist better with ``loud'' streams like bulk transfer.
+Problem #2 is that some Tor users simply put too much traffic onto the
+network relative to the amount they contribute, so we need to work on
+ways to limit the effects of those users and/or provide priority to the
+other users.
+Problem #3 is that the Tor network simply doesn't have enough capacity
+to handle all the users that want privacy on the Internet. We need to
+develop strategies for increasing the overall community of relays, and
+consider introducing incentives to make the network more self-sustaining.
+Problem #4 is that Tor's current path selection algorithms don't actually
+distribute load correctly over the network, meaning some relays are
+overloaded and some are underloaded. We need
+to develop ways to more accurately estimate the properties of each relay,
+and also ways for clients to select paths more fairly.
+Problem #5 is that Tor clients aren't as good as they should be at
+handling high or variable latency and connection failures. We need better
+heuristics for clients to automatically shift away from bad
+circuits, and other tricks for them to dynamically adapt their behavior.
+Problem #6 is that low-bandwidth users spend too much of their network
+overhead downloading directory information. We've made a serious dent
+in this problem already, but more work remains here too.
+
+We discuss each reason more in its own section below. For each section,
+we explain our current intuition for how to address the problem,
+how effective we think each fix would be, how much effort and risk is
+involved, and the recommended next steps, all with an eye to what
+can be accomplished in 2009.
+
+While all six categories need to be resolved in order to make the Tor
+network fast enough to handle everyone who wants to use it, we've ordered
+the sections by precedence. That is, solving the earlier sections will
+be necessary before we can see benefits from solving the later sections.
+
+\pagebreak
+\tableofcontents
+\pagebreak
+
+\section{Tor's congestion control does not work well}
+\label{sec:congestion}
+
+One of Tor's critical performance problems is in how it combines
+high-volume streams with low-volume streams. We need to come up with ways
+to let the ``quiet'' streams (like web browsing) co-exist better with the
+``loud'' streams (like bulk transfer).
+
+\subsection{TCP backoff slows down every circuit at once}
+
+Tor combines all the circuits going between two Tor relays into a single TCP
+connection. This approach is a smart idea in terms of anonymity, since
+putting all circuits on the same connection prevents an observer from
+learning which packets correspond to which circuit. But over the past
+year, research has shown that it's a bad idea in terms of performance,
+since TCP's backoff mechanism only has one option when that connection
+is sending too many bytes: slow it down, and thus slow down all the
+circuits going across it.
+
+We could fix this problem by switching to a design with one circuit per
+TCP connection. But that means that a relay with 1000 connections and
+1000 circuits per connection would need a million sockets open. That
+number is a problem for even the well-designed operating systems and
+routers out there.
+
+More generally,
+Tor currently uses two levels of congestion avoidance -- TCP flow control
+per-link, and a simple windowing scheme per-circuit.
+It has been suggested that this approach is causing performance problems,
+because the two schemes interact badly.
+
+Experiments show that moving congestion management to be fully end-to-end
+offers a significant improvement in performance.
+
+There have been two proposals to resolve this problem, but their
+underlying principle is the same: use an unreliable protocol for links
+between Tor relays, and perform error recovery and congestion management
+between the client and exit relay. Tor partially funded Joel Reardon's
+thesis~\cite{reardon-thesis} under Ian Goldberg. His thesis proposed
+using DTLS~\cite{DTLS}
+(a UDP variant of TLS) as the link protocol and a cut-down version of
+TCP to give reliability and congestion avoidance, but largely using the
+existing Tor cell protocol.
+Csaba Kiraly \detal~\cite{tor-l3-approach} proposed using
+IPSec~\cite{ipsec} to replace the entire Tor cell and link protocol.
+
+Each approach has its own strengths and weaknesses.
+DTLS is relatively immature, and Reardon noted deficiencies in the
+OpenSSL implementation of the protocol.
+However, the largest missing piece from this proposal is a high-quality,
+privacy preserving TCP stack, under a compatible license.
+Prior work has shown that there is a substantial privacy leak from TCP
+stack and clockskew fingerprinting~\cite{tcptiming,HotOrNot}.
+Therefore to adopt this proposal, Tor would need to incorporate a
+TCP stack, modified to operate in user-mode and to not leak identity
+information.
+
+Reardon built a prototype around the TCP-Daytona stack~\cite{daytona},
+developed at IBM Labs, and based on the Linux kernel TCP stack.
+This implementation is not publicly available and its license is unclear,
+so it is unlikely to be suitable for use in Tor.
+Writing a TCP stack from scratch is a substantial undertaking, and
+therefore other attempts have been to move different operating system
+stacks into user-space.
+While there have been some prototypes, the maturity of these systems
+have yet to be shown.
+
+Kiraly \etal rely on the operating system IPsec stack, and a modification
+to the IKE key exchange protocol to support onion routing.
+As with the proposal from Reardon, there is a risk of operating system
+and machine fingerprinting from exposing the client TCP stack to the
+exit relay.
+This could be resolved in a similar way, by implementing a user-mode
+IPsec stack, but this would be a substantial effort, and would lose some
+of the advantages of making use of existing building blocks.
+
+%A significant issue with moving from TLS as the link protocol is that
+%it is incompatible with Tor's current censorship-resistance strategy.
+%Tor impersonates the TLS behaviour of HTTPS web-browsing, with the
+%intention that it is difficult to block Tor, without blocking a
+%significant amount of HTTPS.
+%If Tor were to move to an unusual protocol, such as DTLS, it would be
+%easier to block just Tor.
+%Even IPsec is comparatively unusual on the open Internet.
+
+%One option would be to modify the link protocol so that it impersonates
+%an existing popular encrypted protocol.
+%To avoid requiring low-level operating system access, this should be a
+%UDP protocol.
+%There are few options available, as TCP is significantly more popular.
+%Voice over IP is one fruitful area, as these require low latency and
+%hence UDP is common, but further investigation is needed.
+
+Prof.~Goldberg has a new student named Chris Alexander picking up
+where Joel left off. He's
+currently working on fixing bugs in OpenSSL's implementation of DTLS along
+with other core libraries that we'd need to use if we go this direction.
+
+{\bf Impact}: High.
+
+{\bf Effort}: High effort to get all the pieces in place.
+
+{\bf Risk}: High risk that it would need further work to get right.
+
+{\bf Plan}: We should keep working with them (and help fund Chris)
+to get this project closer
+to something we can deploy. The next step on our side is to deploy
+a separate testing Tor network that uses datagram protocols, based on
+patches from Joel and others, and get more intuition from that. We could
+optimistically have this testbed network deployed in late 2009.
+
+\subsection{We chose Tor's congestion control window sizes wrong}
+%Changing circuit window size
+
+Tor maintains a per-circuit maximum of unacknowledged cells
+(\texttt{CIRCWINDOW}).
+If this value is exceeded, it is assumed that the circuit has become
+congested, and so the originator stops sending.
+Kiraly proposed~\cite{circuit-window,tor-l3-approach} that reducing
+this window size would substantially decrease latency (although not
+to the same extent as moving to an unreliable link protocol), while not
+affecting throughput.
+
+Specifically, right now the circuit window size is 512KB and the
+per-stream window size is 256KB. These numbers mean that a user
+downloading a large file receives it (in the ideal case) in chunks
+of 256KB, sending back acknowledgements for each chunk. In practice,
+though, the network has too many of these chunks moving around at once,
+so they spend most of their time waiting in buffers at relays.
+
+Reducing the size of these chunks has several effects. First, we reduce
+memory usage at the relays, because there are fewer chunks waiting and
+because they're smaller. Second, because there are fewer bytes vying to
+get onto the network at each hop, users should see lower latency.
+
+More investigation is needed on precisely what should be the new value
+for the circuit window, and whether it should vary.
+Out of 100KB, 512KB (current value in Tor) and 2560KB, they found the
+optimum was 100KB for all levels of packet loss.
+However this was only evaluated for a fixed network latency and relay
+bandwidth, where all users had the same \texttt{CIRCWINDOW} value.
+Therefore, a different optimum may exist for networks with different
+characteristics, and during the transition of the network to the new value.
+
+{\bf Impact}: Medium. It seems pretty clear that in the steady-state this
+patch is a good idea; but it's still up in the air whether the transition
+period will show immediate improvement or if there will be a period
+where traffic from people who upgrade get clobbered by traffic from
+people who haven't upgraded yet.
+
+{\bf Effort}: Low effort to deploy -- it's a several line patch!
+
+{\bf Risk}: Medium risk that we haven't thought things through well
+enough and we'd need to back it out or change parts of it.
+
+{\bf Plan}: Once we start on Tor 0.2.2.x (in the next few months), we should
+put the patch in and see how it fares. We should go for maximum effect,
+and choose the lowest possible window setting of 100 cells (50KB).
+
+%\subsection{Priority for circuit control cells, e.g. circuit creation}
+
+\section{Some users add way too much load}
+\label{sec:too-much-load}
+
+\prettyref{sec:congestion} described mechanisms to let low-volume
+streams have a chance at competing with high-volume streams. Without
+those mechanisms, normal web browsing users will always get squeezed out
+by people pulling down larger content and tolerating high latency. But the next problem is that some
+users simply add more load than the network can handle. Just making sure
+that all the load gets handled fairly isn't enough if there's too much
+load in the first place.
+
+When we originally designed Tor, we aimed for high throughput. We
+figured that providing high throughput would mean we get good latency
+properties for free. However, now that it's clear we have several user
+profiles trying to use the Tor network at once, we need to consider
+changing some of those design choices. Some of those changes would aim
+for better latency and worse throughput.
+
+\subsection{Squeeze over-active circuits}
+\label{sec:squeeze}
+
+The Tor 0.2.0.30 release included this change:
+\begin{verbatim}
+  - Change the way that Tor buffers data that it is waiting to write.
+    Instead of queueing data cells in an enormous ring buffer for each
+    client->relay or relay->relay connection, we now queue cells on a
+    separate queue for each circuit. This lets us use less slack memory,
+    and will eventually let us be smarter about prioritizing different
+    kinds of traffic.
+\end{verbatim}
+
+Currently when we're picking cells to write onto the network, we choose
+round-robin from each circuit that wants to write. We could instead
+remember which circuits have written many cells recently, and give priority
+to the ones that haven't.
+
+Technically speaking, we're reinventing more of TCP here, and we'd be
+better served by a general switch to DTLS+UDP. But there are two reasons
+to still consider this separate approach.
+
+The first is rapid deployment. We could get this change into the Tor 0.2.2.x
+development release in mid 2009, and as relays upgrade, the change would
+gradually phase in. This timeframe is way earlier than the practical
+timeframe for switching to DTLS+UDP.
+
+The second reason is the flexibility this approach provides. We could
+give priorities based on recent activity (``if you've sent much more
+than the average in the past 10 seconds, then you get slowed down''),
+or we could base it on the total number of bytes sent on the circuit so
+far, or some combination. Even once we switch to DTLS+UDP, we may still
+want to be able to enforce some per-circuit quality-of-service properties.
+
+This meddling is tricky though: we could encounter feedback effects if
+we don't perfectly anticipate the results of our changes. For example,
+we might end up squeezing certain classes of circuits too far, causing
+those clients to build too many new circuits in response.
+Or we might simply squeeze all circuits too much, ruining the network
+for everybody.
+% XXX
+
+Also, Bittorrent is designed to resist attacks like this -- it
+periodically drops its lowest-performing connection and replaces it with
+a new one. So we would want to make sure we're not going to accidentally
+increase the number of circuit creation requests and thus just shift
+the load problem.
+
+{\bf Impact}: High, if we get it right.
+
+{\bf Effort}: Medium effort to deploy -- we need to go look at the code
+to figure out where to change, how to efficiently keep stats on which
+circuits are active, etc.
+
+{\bf Risk}: High risk that we'd get it wrong the first few times. Also,
+it will be hard to measure whether we've gotten it right or wrong.
+
+{\bf Plan}: Step one is to evaluate the complexity of changing the
+current code. We should do that for Tor 0.2.2.x in mid 2009. Then we should
+write some proposals for various meddling we could do, and try to find
+the right balance between simplicity (easy to code, easy to analyze)
+and projected effect.
+
+\subsection{Throttle certain protocols at exits}
+
+If we're right that Bittorrent traffic is a main reason for Tor's load,
+we could bundle a protocol analyzer with the exit relays. When they
+detect that a given outgoing stream is a protocol associated with bulk
+transfer, they could set a low rate limit on that stream. (Tor already
+supports per-stream rate limiting, though we've never found a need for
+it.)
+
+This is a slippery slope in many respects though. First is the wiretapping
+question: is an application that automatically looks at traffic content
+wiretapping? It depends which lawyer you ask. Second is the network
+neutrality question: remember Comcast's famous ``we're just delaying
+the traffic'' quote. Third is the
+liability concern: once we add this feature in, what other requests are
+we going to get for throttling or blocking certain content? And does the
+capability to throttle certain content change the liability situation
+for the relay operator?
+%(Imagine an AG, ``I demand you block all things immoral, or provide me
+%the API to do it myself; you clearly have the ability.  Also anyone who
+%doesn't is going to get served.'')
+
+{\bf Impact}: Medium-high.
+
+{\bf Effort}: Medium effort to deploy: need to find the right protocol
+recognition tools and sort out how to bundle them.
+
+{\bf Risk}: This isn't really an arms race we want to play. The
+``encrypted bittorrent'' community already has a leg up since they've been
+fighting this battle with the telco's already. Plus the other downsides.
+
+{\bf Plan}: Not a good move.
+
+\subsection{Throttle certain protocols at the client side}
+
+While throttling certain protocols at the exit side introduces wiretapping
+and liability problems, detecting them at the client side is more
+straightforward. We could teach Tor clients to detect protocols as they
+come in on the socks port, and automatically treat them differently --
+and even pop up an explanation box if we like.
+
+This approach opens a new can of worms though: clients could disable the
+``feature'' and resume overloading the network.
+
+{\bf Impact}: Medium-high.
+
+{\bf Effort}: Medium effort to deploy: need to find the right protocol
+recognition tools and sort out how to bundle them.
+
+{\bf Risk}: This isn't really an arms race we want to play either. Users
+who want to file-share over Tor will find a way. Encouraging people
+to fork a new ``fast'' version of Tor is not a good way to keep all
+sides happy.
+
+{\bf Plan}: Not a good move.
+
+\subsection{Throttle all streams at the client side}
+
+While we shouldn't try to identify particular protocols as evil, we
+could set stricter rate limiting on client streams by default. If we
+set a low steady-state rate with a high bucket size (\eg allow spikes
+up to 250KB but enforce a long-term rate for all streams of 5KB/s),
+we would probably provide similar performance to what clients get now,
+and it's possible we could alleviate quite a bit of the congestion and
+then get even better and more consistent performance.
+
+Plus, we could make the defaults higher if you sign up as a relay and
+pass your reachability test.
+
+The first problem is: how should we choose the numbers? So far we have
+avoided picking absolute speed numbers for this sort of situation,
+because we won't be able to predict a number now which will still be
+the correct number in the future.
+
+The second problem is the same as in the previous subsection -- users
+could modify their clients to disable these checks. So we would want
+to do this step only if we also put in throttling at the exits or
+intermediate relays, a la \prettyref{sec:squeeze}. And if that throttling
+works, changing clients
+(and hoping they don't revert the changes) may be unnecessary.
+
+{\bf Impact}: Low at first, but medium-high later.
+
+{\bf Effort}: Low effort to deploy.
+
+{\bf Risk}: If we pick high numbers, we'll never see much of an impact.
+If we pick low numbers, we could accidentally choke users too much.
+
+{\bf Plan}: It's not crazy, but may be redundant. We should consider
+in Tor 0.2.2.x whether to do it, in conjunction with throttling at other
+points in the circuit.
+
+\subsection{Default exit policy of 80,443}
+
+We hear periodically from relay operators who had problems with DMCA
+takedown attempts, switched to an exit policy of ``permit only ports 80
+and 443'', and no longer hear DMCA complaints.
+
+Does that mean that most file-sharing attempts go over some other port? If
+only a few exit relays permitted ports other than 80 and 443, we would
+effectively squeeze the high-volume flows onto those few exit relays,
+reducing the total amount of load on the network.
+
+First, there's a clear downside: we lose out on other protocols. Part
+of the point of Tor is to be application-neutral. Also, it's not clear
+that it would work long-term, since corporate firewalls are continuing
+to push more and more of the Internet onto port 80.
+
+To be clearer, we have more options here than the two extremes. We could
+switch the default exit policy from allow-all-but-these-20-ports to
+accept-only-these-20-ports. We could even get more complex, for example
+by applying per-stream rate limiting at the exit relays to streams
+destined for certain ports.
+
+{\bf Impact}: Low? Medium? High?
+
+{\bf Effort}: Low effort to deploy.
+
+{\bf Risk}: The Tor network becomes less useful, roughly in proportion
+to the amount of speedup we get.
+
+{\bf Plan}: I think we should take some of these steps in the Tor 0.2.2.x
+timeframe. The big challenge here is that we don't have much intuition
+about how effective the changes should be, so we don't know how far to go.
+
+\subsection{Better user education}
+
+We still run across users who think any anonymity system out there must
+have been designed with file-sharing in mind. If we make it clearer in
+the FAQ and our webpage that Tor isn't for high-volume streams, that
+might combine well with the other approaches above.
+
+Overall, the challenge of users who want to overload the system will
+continue. Tor is not the only system that faces this challenge.
+
+\section{The Tor network doesn't have enough capacity}
+\label{sec:capacity}
+
+\prettyref{sec:congestion} aims to let web browsing
+connections work better in the face of high-volume streams, and
+\prettyref{sec:too-much-load} aims to reduce the overall load on the
+network. The third reason why Tor is slow is that we simply don't have
+enough capacity in the network to handle all the users who want to use Tor.
+
+Why do we call this the third problem rather than the number one
+problem? Just adding more capacity to the network isn't going to solve
+the performance problem. If we add more capacity without solving the
+issues with high-volume streams, then those high-volume streams will
+expand to use up whatever new capacity we add.
+
+Economics tells us to expect that improving performance in the Tor network
+(\ie increasing supply) means that more users will arrive to fill the
+void. So in either case we shouldn't be under the illusion that Tor will
+magically just become faster once we implement these improvements.
+We place the first two sections higher in priority because their goals are
+to limit the ability of the high-volume users to become even higher-volume
+users, thus allowing the new capacity to be more useful to the other users.
+We discuss the supply-vs-demand question more in \prettyref{sec:economics}.
+
+\subsection{Tor server advocacy}
+
+Encouraging more volunteers to run Tor servers, and existing volunteers
+to keep their servers running, will increase network capacity and
+hence performance.
+
+{\bf Impact}: High, assuming we work on the plans from
+\prettyref{sec:congestion} and \prettyref{sec:too-much-load} also.
+
+{\bf Effort}: Medium to high, depending on how much we put in.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: A clear win. We should do as many advocacy aspects as we
+can fit in.
+
+\subsubsection{Talks and trainings}
+
+One of the best ways we've found for getting new relays is to go to
+conferences and talk to people in person. There are many thousands of
+people out there with spare fast network connections and a willingness
+to help save the world. Our experience is that visiting them in person
+produces much better results, long-term, than Slashdot articles.
+
+Roger and Jake have been working on this angle, and Jake will be ramping
+up even more on it in 2009.
+
+Advocacy and education is especially important in the context of new and
+quickly-changing government policies. In particular, the data retention
+question in Germany is causing instability in the overall set
+of volunteers willing to run relays. Karsten's latest
+metrics\footnote{\url{https://www.torproject.org/projects/metrics%7D%7D
+show that while the number
+of relays in other countries held steady or went up during 2008, the
+numbers in Germany went down over the course of 2008. On the other hand,
+the total amount of bandwidth provided by German relays held steady
+during 2008 -- so while other operators picked up the slack, we still
+lost overall diversity of relays. These results tell us where to focus
+our efforts.
+
+\subsubsection{Better support for relay operators}
+
+Getting somebody to set up a relay is one thing; getting them to keep it
+up is another thing entirely. We lose relays when the operator reboots
+and forgets to set up the relay to start on boot. We lose relays when
+the operator looks through the website and doesn't find the answer to
+a question.
+
+%When the Tor network was just starting out, Roger interacted with each
+%relay operator and tried to be responsive to all issues. The network
+%quickly scaled beyond his ability to provide enough attention to each
+%operator.
+
+We've been working on a new service for relay operators called Tor
+Weather\footnote{\url{https://weather.torproject.org/%7D%7D. The idea is
+that once you've set up your relay, you can subscribe to get an email
+whenever it goes down. We need to work on the interface more, for example to
+let people subscribe to various levels of notification, but the basic
+idea seems like a very useful one.
+
+With Tor Weather you can also subscribe to watch somebody \emph{else}'s
+relay; so this service should tie in well for the people doing advocacy,
+to let them focus their follow-ups when a relay they helped set up
+disappears.
+
+We are also considering setting up a mailing list exclusively for relay
+operators, to give them a better sense of community, to answer questions
+and concerns more quickly, etc.
+
+We should also consider offering paid or subsidized support options so
+relay operators have a place to go for help. Corporations and universities
+running relays could get direct phone, email, or IM support options.
+
+\subsubsection{A Facebook app to show off your relay}
+
+We're currently developing a Facebook
+application that will allow relay operators to link their Tor relays
+to their Facebook profile. Volunteers who desire can therefore publicly
+get credit for their contribution to the Tor network. This would raise
+awareness for Tor, and encourage others to operate relays.
+
+Opportunities for expansion include allowing relay operators to form
+``teams'', and for these teams to be ranked on the contribution to the
+network. (Real world examples here include the SETI screensaver and the
+MD5 hash crack challenges.) This competition may give more encouragement
+for team members to
+increase their contribution to the network. Also, when one of the team
+members has their relay fail, other team members may notice and provide
+assistance on fixing the problem.
+% Would this also introduce an incentive to cheat to be the top team?) -AL
+% Yes. -RD
+
+\subsubsection{Look for new ways to get people to run relays}
+
+We are not primarily social engineers, and the people that we are good
+at convincing to set up relays are not a very huge group.
+
+We need to keep an eye out for more creative ways to encourage a broader
+class of users to realize that helping out by operating a relay will
+ultimately be something they want to do.
+
+\subsection{Funding more relays directly}
+
+Another option is to directly pay hosting fees for fast relays (or
+to directly sponsor others to run them).
+
+The main problem with this approach is that the efficiency is low: at
+even cheap hosting rates, the cost of a significant number of new relays
+grows quickly. For example, if we can find 100 non-exit relays providing
+1MB/s for as low as $100/mo (and at that price it'd be renting space
+on a shared server, with all the resource sharing hassles that comes
+with), that's $120k per year. Figure some more
+for maintenance and coordination, the overhead to find 100 locations
+that are on sufficiently different networks and administrative zones, etc.
+
+The amount of work involved in running them as exit relays might be a
+few times this cost, due to higher hosting fees, more effort involved
+in establishing and maintaining the right relationships, having lawyers
+nearby, etc.
+
+Plus the costs just keep coming, month after month.
+
+Overall, it seems more sustainable to invest in better code, and community
+outreach and education.
+
+{\bf Impact}: Medium.
+
+{\bf Effort}: High.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: If we end up with extra funding, sure. Otherwise, I think
+our time and effort are better spent on design and coding that will
+have long-term impact rather than be recurring costs.
+
+\subsection{Handling fast Tor relays on Windows}
+\label{sec:overlapped-io}
+
+Advocating that users set up relays is all well and good, but if most
+users are on Windows, and Tor doesn't support fast relays on Windows
+well, then we're in a bad position.
+
+Nick has been adapting libevent so it can handle a buffer-based
+abstraction rather than the traditional Unix-style socket-based
+abstraction. Then we will modify Tor to use this new abstraction. Nick's
+blog post\footnote{\url{https://blog.torproject.org/blog/some-notes-progress-iocp-and-libevent%7D%7D
+provides more detail.
+
+{\bf Impact}: Medium.
+
+{\bf Effort}: High, but we're already halfway through.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: Keep at it. We're on schedule to get a test version (one that
+works for Nick) out in September 2009. Then iterate until it works
+for everybody.
+
+\subsection{Relay scanning to find overloaded relays or broken exits}
+\label{sec:relay-scanning}
+
+Part of the reason that Tor is slow is because some of the relays are
+advertising more bandwidth than they can realistically handle. These
+anomalies might be due to bad load balancing on the part of the Tor
+designers, bad rate limiting or flaky network connectivity on the part
+of the relay operator, or malicious intent. Similarly, some exit relays
+might fail to give back the `real' content, requiring users to repeat
+their connection attempts.
+
+Mike has been working on tools to
+identify these relays: SpeedRacer\footnote{\url{https://svn.torproject.org/svn/torflow/trunk/README.PerfMeasurements%7D%7D
+and SoaT\footnote{\url{https://svn.torproject.org/svn/torflow/trunk/NetworkScanners/README.ExitScan....
+Once the tools are further refined, we should be able to figure out if
+there are general classes of problems (load balancing, common usability
+problems, etc) that mean we should modify our design to compensate. The
+end goal is to get our tools to the point where they can automatically
+tell the directory authorities to leave out certain misbehaving relays in
+the network status consensus, and/or adjust the bandwidths they advertise
+for each relay.
+
+{\bf Impact}: Low.
+
+{\bf Effort}: Medium.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: Keep at it. We're on schedule to get a test version
+(that works for Mike) out in mid 2009. Then iterate until it works
+for everybody.
+
+\subsection{Getting dynamic-IP relays back into the relay list quickly}
+
+Currently there is a delay of 2-5 hours between when a relay changes its
+IP address and when that relay gets used again by clients. This delay
+causes two problems: relays on dynamic IP addresses will be underutilized
+(contributing less to the total network capacity than they could),
+and clients waste time connecting to relay IP addresses that are no
+longer listening.
+
+There are several approaches that can mitigate this problem by notifying
+clients sooner about IP address changes.
+The first approach is to continue on our path of simplifying directory
+information (see \prettyref{sec:directory-overhead}): if we can put out
+``diffs'' of the network status more often than once an hour, clients
+can get updated quicker.
+A second approach is for each relay to estimate how volatile its IP address
+is, and advertise this in its descriptor.
+Clients then ignore relays with volatile IP addresses and old descriptor.
+Similarly, directory authorities could prioritise the distribution of
+updated IP addresses for freshly changed relays.
+
+As a last note here, we currently have some bugs that are causing relays
+with dynamic IP addresses to fall out of the network entirely. If a
+third to half of the relays are running on dynamic IP addresses, that's
+really bad.
+
+{\bf Impact}: Low-medium.
+
+{\bf Effort}: Low-medium.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: Track down and fix bugs for Tor 0.2.2.x. Continue simplifying
+directory information so we can get new info to clients quicker.
+
+\subsection{Incentives to relay}
+
+Our blog post on this
+topic\footnote{\url{https://blog.torproject.org/blog/two-incentive-designs-tor%7D%7D
+explains
+our work to-date on this topic. The current situation is that we have
+two designs to consider: one that's quite simple but has a serious
+anonymity problem, and one that's quite complex.
+
+I think we should move forward with the first (simple but flawed)
+design. There are several pieces to moving it forward. The first phase
+is changing Tor's queueing mechanisms to be able to give some circuits
+priority over others. This step also ties into the other development items
+in this document regarding cell-, circuit-, and connection-priorities. The
+second phase is then redesigning the ``gold star'' mechanism so the
+priority earned by relays lasts long enough that there's a sufficient
+anonymity set for them. We'll need to look at current and projected
+network metrics to discover a good upper bound on relay churn. The
+question to answer is: ``What period of time, taken as a rolling snapshot
+of which relays are present in the network, guarantees a sufficiently
+large anonymity set for high-priority relays?'' Hopefully the answer is
+something like 7 or 14 days. There are other missing pieces in there, like
+``what do we mean by sufficiently?'', that we'll just have to guess about.
+The third phase is to actually sort out how to construct and distribute
+gold-star cryptographic certificates that entry relays can verify.
+
+Notice that with the new certificates approach, we can reward users
+who contribute to the network in other ways than running a fast public
+relay -- examples might include top sponsors, users who run stable bridge
+relays, translators, people who fix bugs, etc.
+
+{\bf Impact}: Medium-high.
+
+{\bf Effort}: Medium-high.
+
+{\bf Risk}: Medium-high: if we screw up the balance of our
+community-oriented infrastructure, we might end up hurting more than
+we help.
+
+{\bf Plan}: Accomplishing the three phases above will put us in a much
+better position to decide whether to deploy this idea. At the same time,
+the more complex options might become more within reach as other research
+teams investigate and refine them, so we should keep an eye on them too.
+
+\subsection{Reachable clients become relays automatically}
+
+Even if we don't add in an incentive scheme, simply making suitable
+users into relays by default should do a lot for our capacity problems.
+
+We've made many steps toward this goal already, with automated
+reachability testing, bandwidth estimation, UPnP support built in to
+Vidalia, and so on.
+
+There are a few risks here though. First, relaying traffic could
+introduce anonymity vulnerabilities, and we need to learn more about
+that first. (That's on the roadmap for 2009.) Second, making clients
+into relays by default could make some users upset. Third, this
+approach could change how sysadmins view Tor. By putting ourselves
+into the same category as Skype, we would scale up the ``blocking
+Tor connections'' arms race by a level that's hard to predict.
+Also, we need to finish deployment of \prettyref{sec:overlapped-io}
+before we can roll this out, or we'll just make a bunch of Windows
+machines crash.
+
+We had originally been avoiding the ``everybody a relay'' design until
+we had a better plan for scaling the directory to be able to distribute
+tens of thousands of relay addresses. I think these two plans are not as
+related as we first thought, though. For example, a very simple answer
+for what to do if we get more relays than our current directory scheme
+can handle is to publish only the best relays, for some metric of best
+that considers capacity, expected uptime, etc. That should be a perfectly
+adequate stopgap measure. The step after that would be to consider
+splintering the network into two networkstatus documents, and clients
+flip a coin to decide which they use. Ultimately, if we are so lucky as
+to get into the position of having too many relays, we'll want to look
+at the distribution and properties of the relays we have when deciding
+what algorithms would best make use of them.
+
+{\bf Impact}: High.
+
+{\bf Effort}: Medium, now that we've done a lot of hard work already.
+
+{\bf Risk}: Medium.
+
+{\bf Plan}: Wrap up our investigations into the anonymity implications
+of being a relay, at the same time as working on a plan for exactly how
+the Tor client should decide if it's suitable for elevation to relay
+status. This is going to happen, it's just a matter of how soon.
+
+\section{Tor clients choose paths imperfectly}
+
+Even when we sort out the congestion control issues, the problem of users
+abusing the network with too much traffic, and the question of overall
+capacity, we still face a fourth problem. Users need to choose their
+paths in such a way that everybody is using the network efficiently.
+
+Right now, Tor relays estimate their capacity by observing the largest
+traffic burst they've seen themselves do in the past day. They advertise
+that bandwidth capacity in the directory information, and clients weight
+their path selection by the bandwidth of each relay. For example, a relay
+that advertises 100KB/s peak bandwidth will be chosen twice as often as
+a relay that advertises 50KB/s peak bandwidth.
+
+There are several problems with our current algorithm that are worth
+fixing.
+
+\subsection{We don't balance traffic over our bandwidth numbers correctly}
+\label{sec:bias-toward-faster}
+
+Selecting relays with a probability proportional to their bandwidth
+contribution to the network may not be the optimal algorithm. Murdoch
+and Watson~\cite{murdoch-pet2008} investigated the performance impact of
+different relay selection algorithms, and came up with a model to describe
+the optimal path selection strategies based on how loaded the network is.
+
+Tor's current selection strategy is optimal when the network is
+fully loaded. That is, if every single byte is going to be used, then
+weighting by capacity is the right way to do it. But if the network is
+not fully loaded, then the fast relays end up with less load than the
+slow relays. To compensate, clients should pick faster relays with
+higher probability.
+
+In particular, we can estimate the network load because all Tor relays
+publish both their capacity and usage in their relay descriptor (but
+see \prettyref{sec:better-bandwidth-estimates} for problems that crop
+up there). The Tor network
+is currently loaded at around 50%. This level is much higher than most
+reasonable networks, indicating that our plan in \prettyref{sec:capacity}
+to get more overall capacity is a good one. But 50% is quite far from
+100% when it becomes to optimal load balancing.
+
+%, and derived a formula
+%for estimating average latency $T$:
+
+%\begin{equation}
+%T = \sum_{i=1}^n q_i t_i = \sum_{i=1}^n \frac{q_i x_i (2 - q_i x_i \Lambda)}{2 (1 - q_i x_i \Lambda)}
+%\label{eqn:waiting}
+%\end{equation}
+
+%Where $q_i$ is the probability of the $i$th relay (out of $n$ relays) being selected, $t_i$ is the average latency at the $i$th relay, $x_i$ is the reciprocal of the $i$th relay's bandwidth, and $\Lambda$ is the total network load.
+
+%This calculation is subject to a number of assumptions.
+%In particular, it assumes that Tor relays have infinite length queues and input traffic is Poisson distributed.
+%Whereas in practice Tor relays have finite length queues (which controls network load), and the distribution of input cells is not known.
+%Unfortunately, these assumptions are necessary to apply standard queueing theory results.
+
+To find the optimum relay selection probabilities for the model, Steven
+used a hill-climbing algorithm to minimize network latency, with a Tor
+directory snapshot as input.
+The results (shown in \prettyref{fig:optimum-selection} and
+\prettyref{fig:relative-selection}) depend on the network load relative
+to overall capacity.
+As load approaches capacity, the optimum selection probabilities
+converge to the one currently used by Tor: relay bandwidth proportional
+to network capacity.
+However, as load drops, the optimized selection algorithm favors slow
+relays less and faster relays more; many relays are not used at all.
+
+\begin{figure}[t]
+\centering
+\includegraphics[width=0.6\textwidth]{node-selection/optimum-selection-probabilities}
+\caption{Optimum relay selection probabilities for a variety of network loads. Tor is currently at around 50% utilization. The relay selection probabilities currently used by Tor are shown in black.}
+\label{fig:optimum-selection}
+\end{figure}
+
+\begin{figure}[t]
+\centering
+\includegraphics[width=0.6\textwidth]{node-selection/relative-selection-probabilities}
+\caption{Difference between Tor's current relay selection probabilities and the optimum, for a variety of network loads. For Tor's current network load ($\approx 50$%) shown in pink, the slowest relays are not used at all, and the slower relays are favoured less.}
+\label{fig:relative-selection}
+\end{figure}
+
+%\subsubsection{Impact of network load estimation}
+
+Anecdotal evidence supports the theory that the fast relays in the Tor
+network have more spare capacity than they should. Several users have
+posted that they get much better Tor performance if they hard-code their
+paths to only use the fastest ten relays (and ignore the huge anonymity
+implications, of course).
+% Snader and Borisov~\cite{tuneup} suggested
+%an alternate strategy for relay selection that put even more weight on
+%the fast relays, and justified their design by trying it on the current
+%Tor network. Our current theory is that their alternate strategy puts
+%too much weight on the fast relays if all clients were doing it, and
+%it only looked good because the current network is unbalanced; but as
+%usual more research remains to get better intuition there.
+
+The relay selection probabilities in these graphs are tuned to a
+particular level of network load. \prettyref{fig:vary-load} shows how
+average network latency is affected by relay selection probabilities,
+for different levels of network load. For all load levels examined,
+the optimized selection probabilities offer lower latency when compared
+to Tor's current selection algorithm. However, there's a downside to
+tailoring for a particular load level: if we see a much heavier load in
+practice than the one we had in mind when we tuned our selection biases,
+then we end up overbalancing the network in the other direction.
+
+\begin{figure}[t]
+\centering
+\includegraphics[width=0.6\textwidth]{node-selection/vary-network-load}
+\caption{Average network latency against network load. Three relay selection probabilities are shown, optimized for 50%, 75%, and 90% network load. The Tor relay selection algorithm is also included (black). The dots on the $x$ axis show the level of network load at which the relay selection probability distributions are optimized for. The line is cut off when the model predicts that at least one relay will have an infinite queue length, which occurs before load $=$ capacity for all relay selection algorithms except for Tor's current one.}
+\label{fig:vary-load}
+\end{figure}
+
+Specifically, each probability distribution has a cut-off point at
+which (according to the model) at least one relay will have a higher
+load than its capacity, at which its queue length, and hence latency,
+will become infinite.
+For the optimized selection probability distributions, this cut-off
+point is a few percent above the level they were designed to operate at.
+For Tor's current selection algorithm, it is when the overall network
+capacity equals the overall network load.
+
+In this respect the Tor selection algorithm reaches the theoretical
+optimum, as no network can operate at greater than 100% utilization
+while maintaining finite latency.
+However, in a real instantiation of any of these alternative probability
+distributions, the network latency would not become infinite; instead
+a connection would time out and a different circuit would be selected.
+So in practice, if the wrong probability distribution was selected,
+the network would converge at a different one.
+Unfortunately the standard queuing theory models cannot handle this
+case; we need to move to a simulation rather than using equations
+and assumptions, to estimate the real effect.
+
+{\bf Impact}: Low-medium.
+
+{\bf Effort}: Medium, since we still need to get a better sense of
+the correct network load to expect, and we need to experiment to see
+if the model actually matches reality.
+
+{\bf Risk}: Low, since we can always back out the changes.
+
+{\bf Plan}: It seems clear that some adjustments should be done in
+terms of biasing selection toward the faster relays. The exact load
+level to anticipate remains an open question though. Fortunately, in
+our new networkstatus algorithm, the directory authorities declare the
+bandwidths for each relay. So we can just reweight them on the fly and
+clients will use the new numbers. That means once enough clients have
+upgraded to using the bandwidths specified in the networkstatus, we can
+start to experiment with shifting the biases and see what results we get.
+
+%Despite the simplifications made to the network model, results derived
+%from it may still be useful.
+%This is especially the case because it models the entire network, whereas
+%experiments can feasibly change only a few of the clients' behaviour.
+%The formula is also amenable to mathematical analysis such as non-linear
+%optimization.
+
+\subsection{The bandwidth estimates we have aren't very accurate}
+\label{sec:better-bandwidth-estimates}
+
+Weighting relay selection by bandwidth only works if we can accurately
+estimate the bandwidth for each relay.
+
+Snader and Borisov~\cite{tuneup} examined three strategies for estimating
+the bandwidth for each relay. The first strategy was Tor's current
+approach of looking for peaks in the actual bytes it's handled in the past
+day. The second strategy was active probing by the directory authorities.
+For their third strategy, they proposed that each Tor relay
+opportunistically monitor the data rates that it achieves when
+communicating with other Tor relays.
+Since currently Tor uses a clique topology, given enough time, all relays
+will communicate with all other Tor relays.
+If each Tor relay reports their measurements back to the directory
+authorities, then the median report should be a good estimate of that
+relay's bandwidth.
+As a bonus, this estimate should be difficult to game, when compared to
+the current approach of self-advertising bandwidth capacity.
+
+Experiments show that opportunistic bandwidth measurement has a better
+systematic error than Tor's current self-advertised measure, although
+has a poorer log-log correlation (0.48 vs. 0.57).
+The most accurate scheme is active probing of capacity, with a log-log
+correlation of 0.63, but this introduces network overhead.
+
+All three schemes suffer from fairly poor accuracy. Perhaps this
+inaccuracy is due to some relays with high variance in bandwidth
+capacity? We need to explore this area more to understand why our
+estimates are not as good as they could be.
+
+{\bf Impact}: Low-medium.
+
+{\bf Effort}: Medium, since we still need to get a better sense of
+the correct network load to expect, and we need to experiment to see
+if the model actually matches reality.
+
+{\bf Risk}: Low, since we can always back out the changes.
+
+{\bf Plan}: More research remains here to figure out what algorithms
+will actually produce more accurate bandwidth estimates. As with
+\prettyref{sec:bias-toward-faster} above, once we do have some better
+numbers, we can change the weights in the directory, and clients will
+immediately move to the better numbers. We should also experiment with
+augmenting our estimates with active probes from Mike's SpeedRacer tool.
+
+\subsection{Bandwidth might not even be the right metric to weight by}
+
+The current Tor network selection algorithm biases purely by bandwidth.
+This approach will sometimes cause high latency circuits due to multiple
+ocean crossings or otherwise congested links.
+An alternative approach would be to not only bias selection of relays
+based on bandwidth, but to also bias the selection of hops based on
+expected latency.
+
+%One option would be to predict the latency of hops based on geolocation
+%of the relay IP address.
+%This approach has the advantage of not requiring any additional
+%measurement database to be published.
+%However, it does assume that the geolocation database is accurate and
+%that physical distance between hops is an accurate estimator for latency.
+%% Micah Sherr tells me that latency and geolocation distance are
+%% pretty much not correlated. -RD
+
+Micah Sherr is finishing his PhD thesis at Penn under Matt Blaze,
+exploring
+exactly this issue. In the past we've avoided any sort of path selection
+algorithm that requires pairwise measurements of the network, because
+communicating $N^2$ measurements to clients would take too much bandwidth.
+Micah solves this problem by using a \emph{virtual coordinate system} --
+a three or four dimension space such that distance between relays in
+the virtual coordinate space corresponds to the network latency (or other
+metric) between them.
+
+His experiments show that we could see a significant speedup in the Tor
+network if users choose their paths based on this new relay selection
+algorithm. More research remains, of course, but the initial results
+are very promising.
+
+%A second option would be to actually measure hop latency, and publish
+%the database.
+%Nodes could do this themselves and include the results in their descriptor.
+%Alternatively, a central authority could perform the measurements and
+%publish the results.
+%Performing these measurements would be a $O(n^2)$ problem, where $n$
+%is the number of relays, so does not scale well.
+
+%Publishing a latency database would also increase the size of the
+%directory that each client must download.
+%If na"{\i}vely implemented, the database would scale with $O(n^2)$.
+%However, a more efficient versions could be created, such as by dimension
+%reduction, creating a map in which the distance between any two relays
+%is an approximation of the latency of a hop between them.
+%Delta compression could be used if the map changes slowly.
+
+On the other hand, reducing the number of potential paths would also
+have anonymity
+consequences, and these would need to be carefully considered.
+For example, an attacker who wishes to monitor traffic could create
+several relays, on distinct /16 subnets, but with low latency between them.
+A Tor client trying to minimize latency would be more likely to select
+these relays for both entry and exit than it would otherwise.
+This particular problem could be mitigated by selecting entry and
+exit relay as normal, and only using latency measurements to select the
+middle relay.
+
+{\bf Impact}: Medium-high.
+
+{\bf Effort}: Medium-high, since we first need to sort out how effective
+the algorithm is, and then we need to figure out a migration plan.
+
+{\bf Risk}: Medium, since a new selection algorithm probably carries
+with it a new set of anonymity-breaking papers that will only come out
+a few years after we deploy.
+
+{\bf Plan}: Micah is going to write a design proposal for getting
+relays to compute and maintain their virtual coordinates based on
+latency. Once we deploy that, we'll have some actual data points, and
+we'll be in a better position to simulate whether the idea will help
+in reality. Counting deployment time, that means we probably won't have
+clients using this scheme until 2010.
+
+\subsection{Considering exit policy in relay selection}
+
+When selecting an exit relay for a circuit, the Tor client will build a list
+of all exit relays which can carry the desired stream, then select from
+them with a probability weighted by each relay's capacity\footnote{The
+actual algorithm is slightly more complex: in particular, exit relays which
+are also guard relays will be weighted less, and some circuits are
+created preemptively without any destination port in mind.}.
+This means that relays with more permissive exit policies will be
+candidates for more circuits, and hence will be more heavily loaded
+compared to relays with restrictive policies.
+
+\begin{figure}[t]
+\centering
+\includegraphics[width=0.6\textwidth]{node-selection/exit-capacity}
+\caption{Exit relay capacity, in terms of number of relays and advertised
+bandwidth for a selection of port numbers.}
+\label{fig:exit-capacity}
+\end{figure}
+
+\prettyref{fig:exit-capacity} shows the exit relay capacity for a selection
+of port numbers.
+It can be clearly seen that there is a radical difference in the
+availability of relays for certain ports (generally those not in the
+default exit policy).
+Any traffic to these ports will be routed through a small number of exit
+relays, and if they have a permissive exit policy, they will likely become
+overloaded from all the other traffic they receive.
+The extent of this effect will depend on how much traffic in Tor is to
+ports which are not in the default exit policy.
+
+The overloading of permissive exit relays can be counteracted by adjusting
+the selection probability of a relay based on its exit policy and knowledge
+of the global network load per-port.
+While it should improve performance, this modification will make it
+easier for malicious exit relays to select traffic they wish to monitor.
+For example, an exit relay which wants to attack SSH sessions can currently
+list only port 22 in its exit policy.
+Currently they will get a small amount of traffic compared to their
+capacity, but with the modification they will get a much larger share
+of SSH traffic.
+(On the other hand, a malicious exit relay could already do this
+by artificially
+inflating its advertised bandwidth capacity.)
+
+To properly balance exit relay usage, it is necessary to know the usage
+of the Tor network, by port.
+McCoy \detal~\cite{mccoy-pet2008} have figures for protocol usage in
+Tor, but these figures were generated through deep packet inspection,
+rather than by port number.
+Furthermore, the exit relay they ran used the fairly permissive default
+exit policy.
+Therefore, their measurements will underestimate the relative traffic on
+ports which are present in the default exit policy, and are also present
+in more restrictive policies.
+To accurately estimate the Tor network usage by port, it is necessary
+to measure the network usage by port on one or more exit relays, while
+simultaneously recording the exit policy of all other exit relays
+considered usable.
+
+We could instead imagine more crude approaches. For example, in
+\prettyref{sec:relay-scanning} we suggest using a tool like SpeedRacer
+or SoaT to identify relays that are overloaded.  We could then either
+instruct clients to avoid them entirely, or reduce the capacity associated
+with that relay in the directory status to reduce the attention the relay
+gets from clients. Then we could avoid the whole question of \emph{why}
+the relays are overloaded. On the other hand, understanding the reasons
+for load hotspots can help us resolve them at the architectural level.
+
+{\bf Impact}: Low-medium.
+
+{\bf Effort}: Low-medium.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: When we're gathering statistics for metrics, we should make
+a point of gathering some anonymized data about destination ports seen
+by a few exit relays. Then we will have better intuition about whether
+we should solve this by reweighting at the clients, reweighting in the
+directory status, or ignoring the issue entirely.
+
+\subsection{Older entry guards are overloaded}
+
+While the load on exit relays is skewed based on having an unusual exit
+policy, load on entry guards is skewed based on how long they've been
+in the network.
+
+Since Tor clients choose a small number of entry guards and keep them
+for several months, a relay that's been listed with the Guard flag for a
+long time will accumulate an increasing number of clients. A relay that
+just earned its Guard flag for the first time will see very few clients.
+
+To combat this skew, clients should rotate entry guards every so
+often. We need to look at network performance metrics and discern how
+long it takes for the skew to become noticeable -- it might be that
+rotating to a new guard after a week or two is enough to substantially
+resolve the problem. We also need to consider the added risk that
+higher guard churn poses versus the original attack they were designed
+to thwart~\cite{hs-attack}, but I think a few weeks should still be
+plenty high.
+
+At the same time, there are fewer relays with the Guard flag than there
+should be. While the Exit flag really is a function of the relay's exit
+policy, the required properties for entry guards are much more vague:
+we want them to be ``fast enough'', and we want them to be ``likely to
+be around for a while more''. I think the requirements currently are too
+strict. This scarcity of entry guards in turn influences the anonymity
+the Tor network can provide, since there are fewer potential entry points
+into the network.
+
+{\bf Impact}: High.
+
+{\bf Effort}: Low.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: We should do it, early in Tor 0.2.2.x. We'll need proposals
+first, both for the ``dropping old guards'' plan (to assess the tradeoff
+from the anonymity risk) and for the ``opening up the guard criteria''
+plan.
+
+%\subsection{Two hops vs three hops.}
+
+% People periodically suggest two hops rather than three. The problem
+% is that the design we have right now is more like ``two hops plus an
+% entry guard'', so removing any of the hops seems like a bad move.
+% But YMMV.
+
+\section{Clients need to handle variable latency and failures better}
+
+The next issue we need to tackle is that Tor clients aren't as good
+as they should be at handling high or variable latency and connection
+failures. First, we need ways to smooth out the latency that clients see.
+Then, for the cases where we can't smooth it out enough, we need better
+heuristics for clients to automatically shift away from bad circuits,
+and other tricks for them to dynamically adapt their behavior.
+
+\subsection{Our round-robin and rate limiting is too granular}
+
+Tor's rate limiting uses a token bucket approach to enforce a long-term
+average rate of incoming and outgoing bytes, while still permitting
+short-term bursts above the allowed bandwidth. Each token represents
+permission to send another byte onto the network (or read from the
+network). Every second new tokens are added, up to some cap (the
+\emph{bucket size}).
+
+So Tor relays that have cells buffered waiting to go out onto the network
+will wait until the new second arrives, and then deliver as many cells
+as they can. In practice, this behavior results in traffic `bumps'
+at the beginning of each second, with little network traffic the rest
+of the time. Mike and Karsten have been collecting data from circuit
+extension times (how long it takes to establish each hop of a circuit);
+the bumps are easily seen in \prettyref{fig:extension-times}.
+
+\begin{figure}[t]
+\centering
+\includegraphics[width=0.6\textwidth]{extensiontimes}
+\caption{Number of seconds it takes to establish each hop of a 3-hop
+circuit. The higher density of samples around 2s, 3s, etc indicate that
+rate limiting at each relay is introducing extra delay into the
+responses.}
+\label{fig:extension-times}
+\end{figure}
+
+Our original theory when designing Tor's rate limiting was that one-second
+granularity should be sufficient:
+cells will go out as quickly as possible while the bucket still has
+tokens, and once it's empty there's nothing we can do
+but wait until the next second for permission to send more cells.
+
+We should explore refilling the buckets more often than once a second,
+for three reasons. First, we'll get a better intuition about how full
+the buffers really are: if we spread things out better, then we could
+reduce latency by perhaps multiple seconds. Second, spikes-and-silence is
+not friendly for TCP, so averaging the flows ourselves might mean much
+smoother network performance. Third, sub-second precision will give us
+more flexibility in our priority strategies from \prettyref{sec:squeeze}.
+
+On the other hand, we don't want to go too far: cells are 512 bytes,
+so it isn't useful to think in units smaller than that. Also, every
+network write operation carries with it overhead from the TLS record,
+the TCP header, and the IP packet header. Finally, network transmission
+unit (MTU) sizes vary, but if we could use a larger packet on the wire
+and we don't, then we're not being as efficient as we could be.
+
+%also, let's say we have 15 connections that want attention
+%and we have n tokens for the second to divide up among them
+%and each act of writing onto the connection incurs overhead from tls header
+%if we do it on a per-second, we can write more onto a given conn, because we
+%have more of n to divvy up
+%if we do it every 100ms, we only have n/10 to divvy up, so if we're trying
+%to round robin fairly, everybody gets a tinier amount
+%in fact, if n is small, and we can't really write less than 512 bytes per
+%go, we're going to have to get smarter about randomly picking a conn to use,
+%or skipping ones we fed last time, or something. or some will starve
+%entirely.
+%(right now, i think some starve entirely if you have more than n conns and
+%you rate limit to n cells per second)
+
+{\bf Impact}: Low-Medium.
+
+{\bf Effort}: Medium.
+
+{\bf Risk}: Low, unless we add in bad feedback effects and don't notice.
+
+{\bf Plan}: We should continue collecting metrics to get better
+intuition here. While we're designing priority stategies for
+\prettyref{sec:squeeze}, we should keep the option of higher-resolution
+rate-limiting in mind.
+
+%\subsection{The switch to Polipo: prefetching, pipelining, etc}
+
+%Polipo makes Tor appear faster, for some web browsing activities. Yay.
+%We should continue our plans to migrate to it. (Polipo needs a more
+%active maintainer, and someone with unix to Windows porting experience
+%to make polipo work correctly in Windows.  Alternatively, could privoxy
+%include some of the polipo features we like?)
+
+\subsection{Better timeouts for giving up on circuits and trying a new one}
+
+Some circuits are established very quickly, and some circuits take many
+seconds to form. The time it takes for the circuit to open can give us
+a hint about how well that circuit will perform for future traffic. We
+should discard extremely slow circuits early, so clients never have to
+even try them.
+
+The question, though, is how to decide the right timeouts? If we set a
+static timeout in the clients, then choosing a number that's too low will
+cause clients to discard too many circuits. Worse, clients on really bad
+connections will never manage to establish a circuit. On the other hand,
+setting a number that's too high won't change the status quo much.
+
+Fallon Chen worked during her Google-Summer-of-Code-2008 internship with
+us on collecting data about how long it takes for clients to establish
+circuits, and analyzing the data to decide what shape the distribution
+has (it appears to be a Pareto distribution). The goal is for clients
+to track their own circuit build times, and then be able to recognize
+if a circuit has taken longer than it should have compared to the
+previous circuits. That way clients with fast connections can discard
+not-quite-fast-enough circuits, whereas clients with slow connections
+can discard only the really-very-slow circuits. Not only do clients get
+better performance, but we can also dynamically adapt our paths away
+from overloaded relays.
+
+Mike and Fallon wrote a
+proposal\footnote{\url{https://svn.torproject.org/svn/tor/trunk/doc/spec/proposals/151-path-selecti...
+explaining the details of how to collect the stats, how many data points
+the client needs before it has a good sense of the expected build times,
+and so on.
+
+Further, there's another case in Tor where adaptive timeouts would be
+smart: how long we wait in between trying to attach a stream to a given
+circuit and deciding that we should try a new circuit. Right now we
+have a crude and static ``try 10 seconds on one, then try 15 seconds
+on another'' algorithm, which is both way too high and way too low,
+depending on the context.
+
+{\bf Impact}: Medium.
+
+{\bf Effort}: Medium, but we're already part-way through it.
+
+{\bf Risk}: Low, unless we've mis-characterized the distribution of
+circuit extend times, in which case clients end up discarding too many
+circuits.
+
+{\bf Plan}: We should deploy the changes in clients in Tor 0.2.2.x to
+collect circuit times, and see how that goes. Then we should gather data
+about stream timeouts to build a plan for how to resolve the second piece.
+
+%\subsection{When a circuit has too many streams on it, move to a new one}
+
+%This would prevent any single circuit from getting too overloaded.
+
+%But actually, this idea would benefit high-volume flows most, so
+%it is a bad idea. We should not do it.
+
+\subsection{If extending a circuit fails, try extending a few other
+places before abandoning the circuit.}
+
+Right now, when any extend operation fails, we abandon the entire
+circuit. As the reasoning goes, any other approach allows an attacker
+who controls some relays (or part of the network) to dictate our circuits
+(by declining to extend except to relays that he can successfully attack).
+
+However, this reasoning is probably too paranoid. If we try at most three
+times for each hop, we greatly increase the odds that we can reuse the
+work we've already done, but we don't much increase the odds that an
+attacker will control the entire circuit.
+
+Overall, this modification should cut down on the total number of extend
+attempts in the network. This result is particularly helpful since some
+of our other schemes in this document involve increasing that number.
+
+{\bf Impact}: Low.
+
+{\bf Effort}: Low.
+
+{\bf Risk}: Low-medium. We need to actually do some computations to
+confirm that the risk of whole-path compromise is as low as we think
+it is.
+
+{\bf Plan}: Do the computations, then write a proposal, then do it.
+
+\subsection{Improving efficiency of the Tor circuit-building protocol}
+\label{sec:protocol-efficiency}
+
+A number of proposals~\cite{kate-pet2007,overlier:pet2007} have been
+published in the literature on how to improve the efficiency of the Tor
+handshake protocol.
+These would reduce the latency of circuit establishment, and lower CPU
+load on nodes.
+Applying a modification like this would break existing clients, so
+Tor's version negotiation functionality would be required to permit both
+protocol to operate in parallel.
+Compared to the existing Tor protocol, the proposed modifications are not
+as well analyzed so there is a risk that they will have some weaknesses.
+Some also relax Tor's security assurances (e.g. perfect forward secrecy)
+in order to offer improved performance.
+
+{\bf Impact}: Low.
+
+{\bf Effort}: High.
+
+{\bf Risk}: High.
+
+{\bf Plan}: Not yet. Cryptographic overhead does not appear to be a
+significant component of latency. If, later on, circuit establishment
+overhead starts to be a significant contributor to performance problems,
+we should re-evaluate.
+
+\subsection{Bundle the first data cell with the begin cell}
+
+In Tor's current design, clients send a ``relay begin'' cell to specify
+the intended destination for our stream, and then wait for a ``relay
+connected'' cell to confirm the connection is established. Only then
+do they complete the SOCKS handshake with the local application, and
+start reading application traffic.
+
+We could modify our local proxy protocol in the case of Privoxy or Polipo
+so it sends the web request to the SOCKS port during the handshake. Then
+we could optimistically include the first cell worth of application data
+in the original begin cell. This trick would allow us to cut out an entire
+network round-trip every time we establish a new connection through Tor.
+The result would be quicker page loads for users.
+
+Alas, this trick would involve extending the SOCKS protocol, which isn't
+usually a polite strategy when it comes to interoperating with other
+applications. On the other hand, it should be possible to extend it in a
+backwards-compatible way: applications that don't know about the trick
+would still behave the same and still work fine (albeit in a degraded
+mode where they waste a network round-trip).
+
+{\bf Impact}: Medium.
+
+{\bf Effort}: Medium.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: Overall, it seems like a delicate move, but with potentially
+quite a good payoff. I'm not convinced yet either way.
+
+\section{The network overhead may still be high for modem users}
+
+Even if we resolve all the other pieces of the performance question,
+there still remain some challenges posed uniquely by users with extremely
+low bandwidth -- for example, users on modems or cell phones. We need
+to optimize the Tor protocols so they are efficient enough that Tor can
+be practical in this situation too.
+
+\subsection{We've made progress already at directory overhead}
+\label{sec:directory-overhead}
+
+We've already made great progress at reducing directory
+overhead, both for bootstrapping and maintenance. Our
+blog post on the topic provides background and
+details\footnote{\url{https://blog.torproject.org/blog/overhead-directory-info%5C%3A-past%5C%2C-pr....
+
+Proposal 158 further reduces the directory overhead, and is scheduled
+to be deployed in Tor 0.2.2.x.\footnote{\url{https://svn.torproject.org/svn/tor/trunk/doc/spec/proposals/158-microdescrip...
+
+{\bf Impact}: Low for normal users, high for low-bandwidth users.
+
+{\bf Effort}: Medium, but we're already a lot of the way through it.
+
+{\bf Risk}: Low.
+
+{\bf Plan}: We should roll out proposal 158. Then we'll be in good
+shape for a while. The next directory overhead challenge will be in
+advertising many more relays; but first we need to get the relays.
+
+\subsection{Our TLS overhead can also be improved}
+
+OpenSSL will, by default, insert an empty TLS application record before
+any one which contains data.
+This is to prevent an attack, by which someone who has partial control
+over the plaintext of a TLS stream, can also confirm guesses as to the
+plaintext which he does not control.
+By including an empty application record, which incorporates a MAC,
+the attacker is made unable to control the CBC initialization vector,
+and hence does not have control of the input to the encryption
+function~\cite{tls-cbc}.
+
+This application record does introduce an appreciable overhead.
+Most Tor cells are sent in application records of their own, giving
+application records of 512 bytes (cell) $+$ 20 bytes (MAC) $+$ 12 bytes
+(TLS padding) $+$ 5 bytes (TLS application record header) $=$ 549 bytes.
+The empty application records contain only 20 bytes (MAC) $+$ 12 bytes
+(TLS padding) $+$ 5 bytes (TLS application record header) $=$ 37 bytes.
+There is also a 20 byte IP header and 32 byte TCP header.
+
+Thus the overhead saved by removing the empty TLS application record
+itself is $37 / (549 + 37 + 20 + 32) = 5.8%$.
+This calculation is assuming that the same number of IP packets will
+be sent, because currently Tor sends packets, with only one cell, far
+smaller than the path MTU.
+If Tor were to pack cells optimally efficiently into packets, then
+removing the empty application records would also reduce the number of
+packets, and hence TCP/IP headers, that needed to be sent.
+The reduction in TCP/IP header overhead would be $37/(549 + 37) = 6.3%$.
+
+Of course, the empty application record was inserted for a reason --
+to prevent an attack on the CBC mode of operation used by TLS, so before
+removing it we must be confident the attack does not apply to Tor.
+Ben Laurie (one of the OpenSSL developers) concluded that in his
+opinion Tor could safely remove the insertion of empty TLS application
+records~\cite{tls-empty-record}.
+Steven was able to come up with only certificational weaknesses (discussed
+in the above analysis), which are expensive to exploit and give little
+information to the attacker.
+
+%To be successful, the attacker must have full control of the plaintext
+%application record before the one he wishes to guess.
+%Tor makes this difficult because all cells where the payload is controlled
+%by the attacker are prepended with a two byte circuit ID, unknown to
+%the attacker.
+%Also, because the majority of cells sent in Tor are encrypted by a key
+%not known by the attacker, the probability that an attacker can guess
+%what a cell might be is extremely small.
+%The exception is a padding cell, which has no circuit ID and a zero
+%length payload, however Tor does not currently send padding cells,
+%other than as a periodic keep-alive.
+
+{\bf Impact}: Low.
+
+{\bf Effort}: Low.
+
+{\bf Risk}: Medium, since our initial analysis might be wrong.
+
+{\bf Plan}: Do it in the Tor 0.2.2.x or 0.2.3.x timeframe. Not critical.
+
+%\subsection{Hibernating relays shouldn't be listed as Running}
+
+%we are giving Running flags to hibernating relays. if we stop giving
+%them the Running flag, they will no longer get into the consensus,
+%thus saving directory overhead. but this is simply a bug that we
+%should fix.
+
+\section{Last thoughts}
+
+\subsection{Lessons from economics}
+\label{sec:economics}
+
+Imagine we implement all the solutions above, and it doubles the effective
+capacity of the Tor
+network. The na"{\i}ve hypothesis is that users would then experience
+twice the throughput.
+Unfortunately this is not true, because it assumes that the number of
+users does not vary with bandwidth available.
+In fact, as the supply of the Tor network's bandwidth increases, there
+will be a corresponding increase in the demand for bandwidth from
+Tor users.
+Simple economics shows that performance of Tor and other
+anonymization networks is controlled by how the number of users
+scales with available bandwidth; this relationship can be represented
+by a demand
+curve.\footnote{The economics discussion is based on a blog post published
+in Light
+Blue Touchpaper~\cite{economics-tor}. The property discussed was also
+observed by Andreas Pfitzmann in response to a presentation at the PET
+Symposium~\cite{wendolsky-pet2007}.}
+
+\begin{figure}[t]
+\centering
+\includegraphics[width=0.6\textwidth]{equilibrium}
+\caption{Hypothetical supply and demand curves for Tor network
+resources. As supply goes up, point A corresponds to no increase in users,
+whereas points B and C represent more users arriving to use up some of
+the new capacity.}
+\label{fig:equilibrium}
+\end{figure}
+
+\prettyref{fig:equilibrium} is the typical supply and demand graph from
+economics textbooks, except with long-term throughput per user substituted
+for price, and number of users substituted for quantity of goods sold.
+%Also, it is inverted, because users prefer higher throughput, whereas
+%consumers prefer lower prices.
+%Similarly,
+As the number of users increases, the bandwidth supplied
+by the network falls.
+%, whereas suppliers will produce more goods if the price is higher.
+
+In drawing the supply curve, we have assumed the network's bandwidth is
+constant and shared equally over as many users as needed.
+The shape of the demand curve is much harder to even approximate, but
+for the sake of discussion, we have drawn three alternatives.
+The number of Tor users and the throughput they each get is the
+intersection between the supply and demand curves -- the equilibrium.
+If the number of users is below this point, more users will join and
+the throughput per user will fall to the lowest tolerable level.
+Similarly, if the number of users is too high, some will be getting
+lower throughput than their minimum, so will give up, improving the
+network for the rest of the users.
+
+Now assume Tor's bandwidth grows by 50% -- the supply curve shifts,
+as shown in the figure.
+By comparing how the equilibrium moves, we can see how the shape of the
+demand curve affects the performance improvement that Tor users see.
+If the number of users is independent of performance, shown in curve A,
+then everyone gets a 50% improvement, which matches the na"{\i}ve
+hypothesis.
+More realistically, the number of users increases, so the performance
+gain is less. The shallower the curve gets, the smaller the performance
+increase will be.
+For demand curve B, there is a 18% increase in the number of Tor users
+and a 27% increase in throughput. On the other hand, with curve C there
+are 33%
+more users and so only a 13% increase in throughput for each user.
+
+%In an extreme case where the demand curve points down (not shown),
+%as the network bandwidth increases, performance for users will fall.
+%Products exhibiting this type of demand curve, such as designer clothes,
+%are known as Veblen goods.
+%As the price increases, their value as status symbols grows, so more
+%people want to buy them.
+%I don't think it is likely to be the case with Tor, but there could be
+%a few users who might think that the slower the network is, the better
+%it is for anonymity.
+
+%To keep the explanation simple, I have made quite a few assumptions,
+%some more reasonable than others.
+%For the supply curve, I assume that all Tor's bandwidth goes into
+%servicing user requests, it is shared fairly between users, there is
+%no overhead when the number of Tor clients grows, and the performance
+%bottleneck is the network, not clients.
+%I don't think any of these are true, but the difference between the ideal
+%case and reality might not be significant enough to nullify the analysis.
+%The demand curves are basically guesswork -- it's unlikely that the true
+%one is as nicely behaved as the ideal ones shown.
+%It more likely will be a combination of the different classes, as
+%different user communities come into relevance.
+
+The above analysis glosses over many topics. One interesting analysis
+is reaching equilibrium -- in fact it could
+take some time between the network bandwidth changing and the user
+population reaching stability.
+If this period is sufficiently long and network bandwidth is sufficiently
+volatile it might never reach equilibrium.
+We might also consider effects which shift the demand curve.
+In normal economics, marketing makes people buy a product even though
+they considered it too expensive.
+Similarly, a Slashdot article or news of a privacy scandal could make
+Tor users more tolerant of the poor performance.
+Finally, the user perception of performance is an interesting and complex
+topic. In this analyis
+we assumed that performance is equivalent to throughput; but actually
+latency, packet loss, predictability, and their interaction with TCP/IP
+congestion control are important components too.
+
+So what does all this tell us?
+
+The above discussion has argued that the speed of an anonymity network
+will converge on the slowest level that the most tolerant users will
+consider usable.
+This is problematic because there is significant variation in levels
+of tolerance between different users and different protocols.
+Most notably, file sharing users are subject to high profile legal
+threats, and do not require interactive traffic, so they will continue to use
+a network even if the performance is considerably lower than the usable
+level for web browsing.
+
+In conventional markets, this type of problem is solved by differential
+pricing, for example different classes of seat on airline flights.
+In this model, several equilibrium points are allowed to form, and the
+one chosen will depend on the cost/benefit tradeoffs of the customers.
+A similar strategy could be used for Tor, allowing interactive web
+browsing users to get higher performance, while forcing bulk data transfer
+users to have lower performance (but still tolerable for them).
+Alternatively, the network could be configured to share resources in a
+manner such that the utility to each user is more equal.
+In this case, it will be acceptable to all users that a single equilibrium
+point is formed, because its level will no longer be characterized in
+terms of simple bandwidth.
+
+\prettyref{sec:too-much-load} is an example of the former strategy.
+Web browsing users will be offered better performance, so we should
+attract more of them, but hopefully not so many that the performance
+returns to current levels.
+In constrast, bulk-traffic users will be given poorer performance,
+but since they are less sensitive to latency, it could be that they do
+not mind.
+\prettyref{sec:congestion} could be used to implement the latter strategy.
+If web-browsing users are more sensitive to latency than bandwidth,
+then we could optimize the network for latency rather than throughput.
+
+\subsection{The plan moving forward}
+
+Our next steps should be to work with funders and developers to turn
+this set of explanations and potential fixes into a roadmap: we need to
+lay out all the solutions, sort out the dependencies, assign developers
+to tasks, and get everything started.
+
+At the same time, we need to continue to work on ways to measure changes
+in the network: without `before' and `after' snapshots, we'll have
+a much tougher time telling whether a given idea is actually working.
+Many of the plans here have a delay between when we roll out the change
+and when the clients and relays have upgraded enough for the change to
+be noticeable. Since our timeframe requires rolling out several solutions
+at the same time, an increased focus on metrics and measurements will be
+critical to keeping everything straight.
+
+Lastly, we need to be aware that ramping up development on performance
+may need to push out or downgrade other items on our roadmap. So far,
+Tor has been focusing our development energy on the problems that funders
+are experiencing most severely at the time. This approach is good to make
+sure that we're always working on something that's actually important.
+But it also means that next year's critical items don't get as much
+attention as they should, and last year's critical items don't get
+as much maintenance as they should. Ultimately we need to work toward
+having consistent funding for core Tor development and maintenance as
+well as feature-oriented funding.
+
+%\subsection*{Acknowledgements}
+
+% Mike Perry provided many of the ideas discussed here
+
+\bibliographystyle{acm}
+\bibliography{performance}
+
+\end{document}
+
diff --git a/2009/performance/prettyref.sty b/2009/performance/prettyref.sty
new file mode 100644
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+++ b/2009/performance/prettyref.sty
@@ -0,0 +1,37 @@
+%%
+%% This is file `prettyref.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% prettyref.dtx  (with options: `style')
+%% 
+%% Copyright (c) 1995 Kevin Ruland
+%% 
+%%
+%% prettyref v3.0
+%%
+%% Copyright 1995,1998.  by Kevin Ruland kevin@rodin.wustl.edu
+%%
+\ProvidesPackage{prettyref}[1998/07/09 v3.0]
+\def\newrefformat#1#2{%
+  @namedef{pr@#1}##1{#2}}
+\newrefformat{eq}{\textup{(\ref{#1})}}
+\newrefformat{lem}{Lemma \ref{#1}}
+\newrefformat{thm}{Theorem \ref{#1}}
+\newrefformat{cha}{Chapter \ref{#1}}
+\newrefformat{sec}{Section \ref{#1}}
+\newrefformat{tab}{Table \ref{#1} on page \pageref{#1}}
+\newrefformat{fig}{Figure \ref{#1} on page \pageref{#1}}
+\def\prettyref#1{@prettyref#1:}
+\def@prettyref#1:#2:{%
+  \expandafter\ifx\csname pr@#1\endcsname\relax%
+    \PackageWarning{prettyref}{Reference format #1\space undefined}%
+    \ref{#1:#2}%
+  \else%
+    \csname pr@#1\endcsname{#1:#2}%
+  \fi%
+}
+\endinput
+%%
+%% End of file `prettyref.sty'.

    