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Attachment "2001_xx_xx_Applicationlevel_Multicast_using_ContentAddressable_Networks_by_Sylvia_Ratnasamy_and_Mark_Handley_and_Richard_Karp_and_Scott_Shenker.ps" to wiki page [Attic 001 for Holding Various Files] added by martin_vahi on 2018-01-20 13:20:38.
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Fc(\))22 b Fp(lies.)648 1714 y(This)15 b(current)f(occupant)g(node)g
(then)h(splits)h(its)h(zone)e(in)g(half)g(and)g(assigns)h(one)f(half)g
(to)g(the)h(ne)n(w)523 1814 y(node.)25 b(The)g(split)i(is)g(done)e(by)g
(assuming)g(a)h(certain)g(ordering)e(of)h(the)h(dimensions)f(in)h
(deciding)523 1914 y(along)17 b(which)h(dimension)e(a)j(zone)e(is)i(to)
g(be)f(split,)g(so)h(that)f(zones)f(can)h(be)g(re-mer)o(ged)e(when)h
(nodes)523 2013 y(lea)n(v)o(e.)i(F)o(or)g(a)g(2-d)g(space)g(a)g(zone)g
(w)o(ould)f(\002rst)i(be)f(split)h(along)e(the)h(X)h(dimension,)d(then)
i(the)g(Y)h(and)523 2113 y(so)g(on.)f(The)g(\(k)o(e)o(y)-5
b(,)17 b(v)n(alue\))i(pairs)g(from)g(the)g(half)g(zone)g(to)g(be)h
(handed)d(o)o(v)o(er)h(are)i(also)f(transfered)f(to)523
2212 y(the)i(ne)n(w)g(node.)523 2479 y Fe(J)o(oining)k(the)h(Routing)46
b Fp(Ha)n(ving)24 b(obtained)f(its)j(zone,)d(the)i(ne)n(w)f(node)f
(learns)h(the)h(IP)g(addresses)523 2578 y(of)i(its)i(coordinate)c
(neighbor)g(set)j(from)e(the)i(pre)n(vious)e(occupant.)f(This)j(set)g
(is)g(a)g(subset)f(of)g(the)523 2678 y(the)20 b(pre)n(vious)f
(occupant')-5 b(s)19 b(neighbors,)f(plus)i(that)g(occupant)e(itself.)j
(Similarly)-5 b(,)19 b(the)h(pre)n(vious)f(oc-)523 2778
y(cupant)24 b(updates)g(its)h(neighbor)e(set)i(to)g(eliminate)g(those)f
(nodes)g(that)h(are)g(no)f(longer)g(neighbors.)523 2877
y(Finally)-5 b(,)25 b(both)h(the)g(ne)n(w)f(and)h(old)g(nodes')f
(neighbors)f(must)i(be)g(informed)e(of)h(this)i(reallocation)523
2977 y(of)e(space.)h(Ev)o(ery)e(node)g(in)i(the)g(system)f(sends)h(an)f
(immediate)g(update)g(message,)g(follo)n(wed)f(by)523
3077 y(periodic)18 b(refreshes,)h(with)h(its)h(currently)d(assigned)h
(zone)g(to)h(all)h(its)f(neighbors.)e(These)i(soft-state)523
3176 y(style)i(updates)f(ensure)g(that)h(all)h(of)e(their)h(neighbors)e
(will)i(quickly)f(learn)g(about)g(the)h(change)e(and)523
3276 y(will)i(update)d(their)i(o)n(wn)f(neighbor)f(sets)j(accordingly)
-5 b(.)18 b(Figures)i(2)h(and)g(3)g(sho)n(w)f(an)h(e)o(xample)e(of)i(a)
523 3375 y(ne)n(w)f(node)f(\(node)g(7\))h(joining)f(a)i(2-dimensional)c
(CAN.)648 3478 y(As)25 b(can)f(be)g(inferred,)f(the)h(addition)f(of)i
(a)f(ne)n(w)h(node)e(af)n(fects)h(only)g(a)h(small)f(number)f(of)h(e)o
(x-)523 3578 y(isting)f(nodes)e(in)i(a)g(v)o(ery)e(small)i(locality)f
(of)g(the)g(coordinate)f(space.)h(The)g(number)e(of)i(neighbors)523
3678 y(a)29 b(node)f(maintains)g(depends)g(only)g(on)g(the)h
(dimensionality)e(of)i(the)g(coordinate)d(space)j(and)g(is)523
3777 y(independent)c(of)i(the)h(total)g(number)d(of)j(nodes)f(in)g(the)
h(system.)g(Thus,)e(node)h(insertion)g(af)n(fects)523
3877 y(only)22 b Ff(O\(number)f(of)i(dimensions\))e Fp(e)o(xisting)h
(nodes)g(which)g(is)h(important)e(for)h(CANs)i(with)f(huge)523
3977 y(numbers)c(of)h(nodes.)523 4243 y Fe(2.4)82 b(Node)20
b(Departur)o(e,)f(Reco)o(v)o(ery)g(and)i(CAN)f(Maintenance)523
4426 y Fp(When)c(nodes)f(lea)n(v)o(e)i(a)f(CAN,)h(we)f(need)g(to)g
(ensure)g(that)g(the)g(zones)g(the)o(y)g(occupied)e(are)i(tak)o(en)g(o)
o(v)o(er)523 4526 y(by)k(the)h(remaining)e(nodes.)g(The)h(normal)g
(procedure)e(for)i(doing)f(this)i(is)g(for)f(a)h(node)f(to)h(e)o
(xplicitly)523 4625 y(hand)d(o)o(v)o(er)f(its)j(zone)e(and)g(the)g
(associated)h(\(k)o(e)o(y)-5 b(,v)n(alue\))15 b(database)j(to)h(one)f
(of)h(its)h(neighbors.)c(If)i(the)523 4725 y(zone)j(of)g(one)g(of)g
(the)g(neighbors)e(can)j(be)f(mer)o(ged)e(with)j(the)f(departing)f
(node')-5 b(s)20 b(zone)h(to)h(produce)523 4825 y(a)27
b(v)n(alid)g(single)f(zone,)g(then)g(this)i(is)g(done.)d(If)i(not,)f
(then)g(the)h(zone)f(is)i(handed)d(to)i(the)g(neighbor)523
4924 y(whose)20 b(current)f(zone)g(is)i(smallest,)g(and)f(that)g(node)f
(will)i(then)f(temporarily)e(handle)h(both)g(zones.)p
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6 5 bop 648 448 a Fp(The)24 b(CAN)i(also)f(needs)g(to)g(be)g(rob)n(ust)
g(to)g(node)f(or)g(netw)o(ork)g(f)o(ailures,)h(where)f(one)h(or)f(more)
523 548 y(nodes)h(simply)f(become)g(unreachable.)f(This)i(is)h(handled)
e(through)f(a)j(reco)o(v)o(ery)d(algorithm,)g(de-)523
648 y(scribed)d(in)41 b([6],)19 b(that)h(ensures)g(one)g(of)g(the)g(f)o
(ailed)g(node')-5 b(s)19 b(neighbors)f(tak)o(es)j(o)o(v)o(er)e(the)h
(zone.)523 892 y Fe(2.5)82 b(Design)20 b(Impr)o(o)o(v)o(ements)h(and)f
(P)n(erf)n(ormance)523 1053 y Fp(Our)25 b(basic)g(CAN)g(algorithm)f(as)
h(described)f(in)h(the)g(pre)n(vious)e(section)i(pro)o(vides)e(a)i
(balance)f(be-)523 1153 y(tween)d(lo)n(w)g(per)n(-node)e(state)j(\()p
Fh(O)r Fc(\()p Fh(d)p Fc(\))h Fp(for)d(a)i Fh(d)g Fp(dimensional)d
(space\))i(and)f(short)h(path)g(lengths)f(with)523 1252
y Fh(O)r Fc(\()p Fh(dn)713 1222 y Fo(1)p Fn(=d)820 1252
y Fc(\))d Fp(hops)f(for)g Fh(d)i Fp(dimensions)d(and)h
Fh(n)h Fp(nodes.)f(This)g(bound)f(applies)i(to)f(the)h(number)e(of)h
(hops)523 1352 y(in)j(the)g(CAN)h(path.)e(These)h(are)g
Ff(application)e(le)o(vel)i Fp(hops,)f(not)h(IP-le)n(v)o(el)f(hops,)g
(and)h(the)g(latenc)o(y)f(of)523 1452 y(each)k(hop)f(might)g(be)g
(substantial;)h(recall)g(that)g(nodes)f(that)h(are)g(adjacent)f(in)h
(the)g(CAN)g(might)g(be)523 1551 y(man)o(y)d(miles)i(\(and)f(man)o(y)f
(IP)i(hops\))e(a)o(w)o(ay)i(from)e(each)h(other)-5 b(.)20
b(In)g([6],)g(we)h(describe)e(a)i(number)e(of)523 1651
y(design)g(techniques)g(whose)g(primary)g(goal)g(is)i(to)f(reduce)f
(the)h(latenc)o(y)f(of)g(CAN)i(routing.)d(Of)i(par)n(-)523
1751 y(ticular)k(rele)n(v)n(ance)f(to)i(the)f(w)o(ork)g(in)h(this)g
(paper)m(,)e(is)i(a)g(distrib)n(uted)f(\223binning\224)e(scheme)i
(whereby)523 1850 y(co-located)e(nodes)h(on)g(the)h(Internet)e(can)i
(be)f(placed)g(close)h(by)f(in)h(the)g(CAN)g(coordinate)e(space.)523
1950 y(In)29 b(this)h(scheme,)f(e)n(v)o(ery)e(node)i(independently)d
(measures)j(its)h(distance)f(\()p Ff(i.e)o(.)g Fp(latenc)o(y\))f(from)g
(a)523 2049 y(set)e(of)e(well)h(kno)n(wn)f(landmark)f(machines)g(and)i
(joins)f(a)i(particular)d(portion)g(of)i(the)f(coordinate)523
2149 y(space)k(based)g(on)f(these)i(measurements.)d(Our)i(simulation)f
(results)h(in)g([6])g(indicate)f(that)h(these)523 2249
y(added)19 b(mechanisms)g(are)h(v)o(ery)f(ef)n(fecti)n(v)o(e)g(in)h
(reducing)f(o)o(v)o(erall)f(path)i(latenc)o(y)-5 b(.)19
b(F)o(or)h(e)o(xample,)e(we)523 2348 y(sho)n(w)i(that)g(for)g(a)h
(system)f(with)h(o)o(v)o(er)e(130,000)e(nodes,)i(for)h(a)h(range)e(of)h
(link)g(delay)g(distrib)n(utions,)523 2448 y(we)28 b(can)f(route)f
(with)h(a)h(latenc)o(y)e(that)i(is)g(well)g(within)f(a)g(f)o(actor)g
(of)g(three)f(of)h(the)h(underlying)c(IP)523 2548 y(netw)o(ork)d
(latenc)o(y)-5 b(.)20 b(The)h(number)f(of)i(neighbors)d(that)j(a)g
(node)f(must)h(maintain)f(to)h(achie)n(v)o(e)e(this)j(is)523
2647 y(approximately)17 b(28)j(\(details)g(of)g(this)h(test)g(are)f(in)
h(Section)e(4)i(in)f([6]\).)523 2908 y Fj(3)99 b(CAN-based)26
b(Multicast)523 3103 y Fp(In)15 b(this)h(section,)e(we)i(describe)e(a)i
(solution)e(whereby)g(CANs)i(can)f(be)g(used)g(to)h(of)n(fer)e(an)h
(application-)523 3202 y(le)n(v)o(el)20 b(multicast)g(service.)648
3302 y(If)e(all)g(the)h(nodes)e(in)i(a)f(CAN)h(are)f(members)g(of)g(a)g
(gi)n(v)o(en)f(multicast)h(group,)f(then)g(multicasting)523
3402 y(a)g(message)f(only)f(requires)g(\003ooding)g(the)h(message)g(o)o
(v)o(er)f(the)h(entire)g(CAN.)h(As)g(we)g(shall)f(describe)523
3501 y(in)g(Section)g(3.2,)f(we)h(can)g(e)o(xploit)f(the)h(e)o
(xistence)f(of)h(a)g(well)h(de\002ned)e(coordinate)f(space)h(to)i(pro)o
(vide)523 3601 y(simple,)k(ef)n(\002cient)f(\003ooding)f(algorithms)g
(from)h(arbitrary)f(sources)h(without)g(ha)n(ving)g(to)h(compute)523
3700 y(distrib)n(ution)e(trees)i(for)e(e)n(v)o(ery)g(potential)g
(source.)648 3800 y(If)24 b(only)g(a)h(subset)g(of)g(the)g(CAN)g(nodes)
f(are)h(members)f(of)g(a)h(particular)f(group,)f(then)h(multi-)523
3900 y(casting)c(in)m(v)n(olv)o(es)f(tw)o(o)h(pieces:)581
4060 y Fe(\226)41 b Fp(the)20 b(members)f(of)h(the)h(group)d(\002rst)j
(form)e(a)i(group-speci\002c)c(\224mini\224)j(CAN)h(and)f(then,)581
4158 y Fe(\226)41 b Fp(multicasting)19 b(is)j(achie)n(v)o(ed)c(by)i
(\003ooding)e(o)o(v)o(er)h(this)i(mini)f(CAN)648 4319
y(In)f(what)i(follo)n(ws,)e(we)i(describe)e(the)h(tw)o(o)h(k)o(e)o(y)e
(components)f(of)i(our)g(scheme:)g(group)e(forma-)523
4419 y(tion)i(and)g(multicast)g(by)g(\003ooding)e(o)o(v)o(er)h(the)h
(CAN.)523 4663 y Fe(3.1)82 b(Multicast)20 b(Gr)o(oup)g(F)n(ormation)523
4825 y Fp(T)-7 b(o)32 b(assist)h(in)f(our)f(e)o(xplanation,)e(we)k
(assume)e(the)h(e)o(xistence)f(of)h(a)g(CAN)h Fh(C)38
b Fp(within)32 b(which)f(a)523 4924 y(subset)24 b(of)h(the)f(nodes)g
(wish)g(to)h(form)e(a)i(multicast)f(group)f Fh(G)p Fp(.)i(W)-7
b(e)25 b(achie)n(v)o(e)e(this)i(by)f(forming)f(an)p eop
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(using)e(CAN-based)2022 1716 y(multicast)523 1993 y Fp(additional)c
(mini)h(CAN,)h(call)g(it)g Fh(C)1558 2005 y Fn(g)1597
1993 y Fp(,)f(made)g(up)g(of)g(only)f(the)h(members)f(of)h
Fh(G)p Fp(.)h(The)f(underlying)523 2093 y(CAN)d Fh(C)28
b Fp(itself)22 b(is)g(used)f(as)g(the)h(bootstrap)d(for)i(the)g
(formation)e(of)i Fh(C)2531 2105 y Fn(g)2592 2093 y Fp(as)g(follo)n
(ws:)g(using)g(a)g(well-)523 2193 y(kno)n(wn)27 b(hash)h(function,)e
(the)j(group)d(address)i Fh(G)h Fp(is)h(deterministically)c(mapped)h
(onto)h(a)g(point,)523 2292 y(say)e Fc(\()p Fh(x;)14
b(y)s Fc(\))p Fp(,)26 b(and)f(the)h(node)e(on)h Fh(C)33
b Fp(that)25 b(o)n(wns)g(the)h(point)f Fc(\()p Fh(x;)14
b(y)s Fc(\))26 b Fp(serv)o(es)g(as)g(the)f(bootstrap)g(node)523
2392 y(in)g(the)g(construction)d(of)j Fh(C)1329 2404
y Fn(g)1368 2392 y Fp(.)g(Joining)f(group)f Fh(G)i Fp(thus)g(reduces)f
(to)g(joining)g(the)h(CAN)g Fh(C)3172 2404 y Fn(g)3211
2392 y Fp(.)g(This)523 2492 y(is)i(done)d(by)i(repeating)e(the)i(usual)
f(CAN)i(construction)d(process)h(with)h Fc(\()p Fh(x;)14
b(y)s Fc(\))27 b Fp(as)f(the)g(bootstrap)523 2591 y(node.)19
b(Because)h(of)g(the)g(light-weight)e(nature)h(of)h(the)g(CAN)h
(bootstrap)d(mechanisms,)h(we)h(do)g(not)523 2691 y(e)o(xpect)27
b(the)h(CAN)h(bootstrap)e(node)g(to)i(be)f(o)o(v)o(erloaded)d(by)j
(join)g(requests.)f(If)h(this)h(becomes)e(a)523 2790
y(possibility)22 b(ho)n(we)n(v)o(er)m(,)e(one)h(could)g(use)i(multiple)
f(bootstrap)e(nodes)i(to)g(share)g(the)g(load)g(by)g(using)523
2890 y(multiple)16 b(hash)h(functions)f(to)h(deterministically)e(map)i
(the)g(group)e(name)i Fh(G)g Fp(onto)g(multiple)f(points)523
2990 y(in)24 b(the)g(CAN)h Fh(C)6 b Fp(;)25 b(the)f(nodes)f
(corresponding)e(to)j(each)g(of)f(these)h(points)g(w)o(ould)f(then)h
(serv)o(e)f(as)i(a)523 3089 y(bootstrap)c(node)h(for)g(the)h(group)e
Fh(G)p Fp(.)j(As)f(with)g(the)g(CAN)h(bootstrap)d(process,)h(the)h(f)o
(ailure)f(of)g(the)523 3189 y(bootstrap)30 b(node\(s\))f(does)i(not)g
(af)n(fect)g(the)g(operation)e(of)i(the)g(multicast)g(group)f(itself;)h
(it)h(only)523 3289 y(pre)n(v)o(ents)19 b(ne)n(w)h(nodes)f(from)g
(joining)g(the)i(group)d(during)h(the)h(period)f(of)h(f)o(ailure.)648
3390 y(Thus,)26 b(e)n(v)o(ery)g(group)g(has)h(a)h(corresponding)c(CAN)k
(made)f(up)g(of)g(all)h(the)f(group)f(members.)523 3490
y(Note)17 b(that)f(with)h(this)g(group)e(formation)f(process)i(a)h
(node)f(only)f(maintains)h(state)i(for)e(those)g(groups)523
3590 y(for)27 b(which)f(it)i(is)h(itself)e(a)h(member)e(or)h(for)g
(which)f(it)i(serv)o(es)f(as)h(the)g(bootstrap)e(node.)f(F)o(or)i(a)h
Fh(d)p Fp(-)523 3689 y(dimensional)14 b(CAN,)i(a)g(member)e(node)h
(maintains)g(state)h(for)f Fc(2)p Fh(d)h Fp(additional)e(nodes)h(\(its)
h(neighbors)523 3789 y(in)k(the)h(CAN\),)f(independent)e(of)h(the)i
(number)d(of)i(traf)n(\002c)g(sources)g(in)g(the)g(multicast)g(group.)
523 4049 y Fe(3.2)82 b(Multicast)20 b(f)n(orwarding)523
4227 y Fp(Because)f(all)g(the)g(members)f(of)g(group)f
Fh(G)j Fp(\(and)e(no)g(other)g(node\))f(belong)g(to)i(the)g(associated)
g(CAN)523 4327 y Fh(C)582 4339 y Fn(g)621 4327 y Fp(,)26
b(multicasting)f(to)h Fh(G)h Fp(is)g(achie)n(v)o(ed)d(by)i(\003ooding)e
(on)h(the)h(CAN)h Fh(C)2599 4339 y Fn(g)2638 4327 y Fp(.)f(Dif)n
(ferent)f(\003ooding)f(al-)523 4426 y(gorithms)e(are)i(concei)n(v)n
(able;)d(for)i(e)o(xample,)f(one)h(might)g(consider)f(a)i(nai)n(v)o(e)e
(\003ooding)g(algorithm)523 4526 y(wherein)f(a)i(node)e(caches)h(the)g
(sequence)f(numbers)g(of)h(messages)g(it)h(has)g(recently)e(recei)n(v)o
(ed.)f(On)523 4625 y(recei)n(ving)k(a)h(ne)n(w)g(message,)g(a)g(node)f
(forw)o(ards)g(the)h(message)g(to)g(all)h(its)g(neighbors)d(\(e)o
(xcept)h(of)523 4725 y(course,)i(the)h(neighbor)d(from)i(which)g(it)i
(recei)n(v)o(ed)d(the)i(message\))f(only)g(if)h(that)g(message)g(is)h
(not)523 4825 y(already)19 b(in)i(its)g(cache.)f(W)m(ith)h(this)g(type)
f(of)g(\003oodcachesuppress)e(algorithm)g(a)j(source)f(can)g(reach)523
4924 y(e)n(v)o(ery)h(group)f(member)g(with)i(requiring)e(a)i(routing)f
(algorithm)f(to)i(disco)o(v)o(er)e(the)i(netw)o(ork)f(topol-)p
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(and)g(could)523 548 y(in)26 b(f)o(act)g(be)g(run)f(o)o(v)o(er)f(an)o
(y)h(application-le)n(v)o(el)e(topology)h(including)g(a)i(random)e
(mesh)i(topology)523 648 y(as)d(generated)e(in)h([4,)13
b(1].)22 b(The)g(problem)f(with)h(this)h(type)f(of)g(nai)n(v)o(e)f
(\003ooding)g(algorithm)g(is)i(that)g(it)523 747 y(can)c(result)h(in)g
(a)g(lar)o(ge)e(amount)h(of)g(duplication)f(of)h(messages;)h(in)g(the)f
(w)o(orst)h(case,)g(a)g(node)e(could)523 847 y(recei)n(v)o(e)h(a)i
(single)f(message)g(from)f(each)h(of)g(its)h(neighbors.)648
946 y(A)c(more)f(ef)n(\002cient)g(\003ooding)f(solution)h(w)o(ould)g
(be)g(to)h(e)o(xploit)f(the)g(coordinate)f(space)h(structure)523
1046 y(of)k(the)g(CAN)h(as)g(follo)n(ws:)648 1146 y(Assume)g(that)g
(our)g(CAN)h(is)g(a)g Fh(d)p Fp(-dimensional)d(CAN)j(with)g(dimensions)
e Fc(1)14 b Fh(:)g(:)g(:)f(d)p Fp(.)22 b(Indi)n(vidual)523
1245 y(nodes)h(thus)g(ha)n(v)o(e)g(at)h(least)g Fc(2)p
Fh(d)g Fp(neighbors;)d(2)i(per)g(dimension)f(with)i(one)f(to)g(mo)o(v)o
(e)f(forw)o(ard)g(and)523 1345 y(another)d(to)i(mo)o(v)o(e)f(in)h(re)n
(v)o(erse)e(along)h(each)h(dimension.)e Ff(i.e)o(.)h
Fp(for)h(e)n(v)o(ery)e(dimension)g Fh(i)i Fp(a)g(node)f(has)523
1445 y(at)28 b(least)g(one)e(neighbor)f(whose)i(zone)f(ab)n(uts)i(its)g
(o)n(wn)f(o)n(wn)f(in)h(the)h(forw)o(ard)d(direction)h(along)g
Fh(i)523 1544 y Fp(and)i(another)g(neighbor)e(whose)i(zone)h(ab)n(uts)f
(its)i(o)n(wn)e(in)h(the)g(re)n(v)o(erse)f(direction)f(along)h
Fh(i)p Fp(.)h(F)o(or)523 1644 y(e)o(xample,)23 b(consider)h(node)g
Fh(A)i Fp(in)f(Figure)g(4:)g(node)f Fh(B)30 b Fp(ab)n(uts)25
b Fh(A)h Fp(in)f(the)g(re)n(v)o(erse)f(direction)f(along)523
1743 y(dimension)c(1)h(while)g(nodes)g Fh(C)27 b Fp(and)19
b Fh(D)k Fp(ab)n(ut)d Fh(A)h Fp(in)g(the)f(forw)o(ard)e(direction)h
(along)h(dimension)e(1.)648 1843 y(Messages)i(are)g(then)g(forw)o
(arded)e(as)j(follo)n(ws:)560 1992 y(1.)41 b(The)18 b(source)g(node)f
(\()p Ff(i.e)o(.)h Fp(node)f(that)h(generates)g(a)h(ne)n(w)f(message\))
f(forw)o(ards)h(a)g(message)g(to)h(all)664 2092 y(its)i(neighbors)560
2188 y(2.)41 b(A)23 b(node)f(that)h(recei)n(v)o(es)e(a)j(message)e
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664 2288 y(sion)17 b Fh(i)g Fp(forw)o(ards)f(the)h(message)g(to)g
(those)g(neighbors)e(with)i(which)g(it)h(ab)n(uts)f(along)f(dimension)
664 2387 y Fc(1)e Fh(:)g(:)g(:)f Fc(\()p Fh(i)19 b Fb(\000)g
Fc(1\))i Fp(and)g(the)g(neighbors)e(with)i(which)g(it)g(ab)n(uts)h
(along)e(dimension)f Fh(i)j Fp(on)e(the)h(oppo-)664 2487
y(site)h(side)g(to)g(that)f(from)g(which)g(it)h(recei)n(v)o(ed)e(the)h
(message.)g(Figure)43 b(4)21 b(depicts)h(this)g(directed)664
2587 y(\003ooding)d(algorithm)f(for)i(a)h(2-dimensional)c(CAN.)560
2683 y(3.)41 b(a)28 b(node)e(does)h(not)g(forw)o(ard)f(a)i(message)f
(along)f(a)i(particular)e(dimension)g(if)h(that)h(message)664
2783 y(has)18 b(already)f(tra)n(v)o(ersed)g(at)i(least)f(half-w)o(ay)f
(across)h(the)g(space)g(from)f(the)h(source)f(coordinates)664
2882 y(along)k(that)g(dimension.)f(This)i(rule)f(pre)n(v)o(ents)f(the)i
(\003ooding)e(from)g(looping)g(round)g(the)h(back)664
2982 y(of)f(the)g(space.)560 3078 y(4.)41 b(a)22 b(node)f(caches)g(the)
h(sequence)f(numbers)f(of)h(messages)h(it)g(has)g(recei)n(v)o(ed)e(and)
h(does)h(not)f(for)n(-)664 3178 y(w)o(ard)f(a)h(message)f(that)g(it)h
(has)f(already)f(pre)n(viously)g(recei)n(v)o(ed)648 3330
y(F)o(or)31 b(a)h(perfectly)f(partitioned)f(\()p Ff(i.e)o(.)h
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523 3430 y(space,)16 b(the)h(abo)o(v)o(e)e(algorithm)g(ensures)h(that)h
(e)n(v)o(ery)e(node)h(recei)n(v)o(es)g(a)h(message)f(e)o(xactly)g
(once.)g(F)o(or)523 3530 y(imperfectly)23 b(partitioned)h(spaces)h(ho)n
(we)n(v)o(er)m(,)e(a)i(node)f(might)g(recei)n(v)o(e)g(the)h(same)h
(message)f(from)523 3629 y(more)h(than)h(one)g(neighbor)-5
b(.)25 b(F)o(or)i(e)o(xample,)f(in)h(Figure)g(4,)g(node)f
Fh(E)33 b Fp(w)o(ould)27 b(recei)n(v)o(e)f(a)i(message)523
3729 y(from)19 b(both)h(neighbors)e Fh(C)27 b Fp(and)19
b Fh(D)r Fp(.)648 3828 y(Certain)f(duplicates)f(can)i(be)f(easily)h(a)n
(v)n(oided)e(because,)g(under)g(normal)h(CAN)h(operation,)d(e)n(v-)523
3928 y(ery)24 b(node)e(kno)n(ws)i(the)f(zone)h(coordinates)e(for)h
(each)h(of)f(its)i(neighbors.)d(F)o(or)h(e)o(xample,)g(consider)523
4028 y(once)f(more)h(Figure)f(4;)h(nodes)f Fh(C)30 b
Fp(and)23 b Fh(D)i Fp(both)e(kno)n(w)f(each)g(others')h(and)f(node)g
Fh(E)5 b Fp(')-5 b(s)24 b(zone)e(coor)n(-)523 4127 y(dinates)j(and)g
(could)g(hence)f(use)i(a)g(deterministic)f(rule)g(such)g(that)h(only)e
(one)h(of)h(them)f(forw)o(ards)523 4227 y(messages)e(to)f
Fh(E)5 b Fp(.)23 b(Such)f(a)h(rule,)f(ho)n(we)n(v)o(er)m(,)e(only)i
(eliminates)g(duplicates)g(that)g(arise)h(by)f(\003ooding)523
4327 y(along)h(the)g(\002rst)i(dimension.)c(The)j(rule)f(w)o(orks)g
(along)g(the)g(\002rst)i(dimension)d(because,)g Ff(all)i
Fp(nodes)523 4426 y(forw)o(ard)15 b(along)g(the)i(\002rst)g(dimension.)
e(Hence)h(e)n(v)o(en)f(if)i(a)g(node,)e(by)h(applying)e(some)i
(deterministic)523 4526 y(rule,)h(does)g(not)g(forw)o(ard)f(a)i
(message)f(to)h(its)g(neighbor)d(along)i(the)g(\002rst)h(dimension,)e
(we)i(kno)n(w)e(that)523 4625 y(some)k(other)f(node)g(that)h(does)g
(satisfy)g(the)g(deterministic)f(rule)h(will)h(do)e(so.)h(But)h(this)g
(need)e(not)h(be)523 4725 y(the)h(case)g(when)f(forw)o(arding)e(along)i
(higher)f(dimensions.)g(Consider)h(a)h(3-dimensional)e(CAN;)i(if)523
4825 y(a)k(node)f(by)h(the)g(application)f(of)g(a)i(deterministic)e
(rule)g(decides)h(not)g(to)g(forw)o(ard)e(to)i(a)h(neighbor)523
4924 y(along)16 b(the)i(second)e(dimension,)g(there)h(is)h(no)f
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9 8 bop 523 448 a Fp(it)26 b(up)f(along)f(the)i(second)e(dimension)g
(because)g(the)i(node)e(that)h(does)g(satisfy)h(the)f(deterministic)523
548 y(rule)e(might)f(recei)n(v)o(e)g(the)i(pack)o(et)e(along)g(the)i
(\002rst)f(dimension)f(and)h(hence)f(will)i(not)f(forw)o(ard)e(the)523
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617 y Fi(4)1824 648 y Fp(F)o(or)h(e)o(xample,)e(in)i(Figure)f(4)h(let)g
(us)g(assume)g(that)g(node)523 747 y Fh(A)26 b Fp(decides)g(\(by)e(the)
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Fh(A)p Fp(\))j(along)e(the)h(\002rst)h(dimension,)d(it)j(will)f(not)g
(forw)o(ard)523 946 y(the)23 b(message)f(along)f(the)i(second)e
(dimension)g(either)h(and)g(hence)g(node)f Fh(F)35 b
Fp(and)22 b(the)h(other)e(nodes)523 1046 y(with)g Fh(Y)d
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(message.)f(While)523 1146 y(the)26 b(abo)o(v)o(e)f(strate)o(gy)g(does)
h(not)g(eliminate)g(all)h(duplicates,)e(it)i(does)f(eliminate)g(a)g
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h(\003ooding)d(occurs)i(along)g(the)g(\002rst)i(dimension.)c(Hence,)i
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b Fp(is)21 b(in)f(contact)g(with)g(the)g(corner)f Fh(C)2424
2026 y Fn(q)2461 2014 y Fp(.)523 2184 y(So,)f(for)g(e)o(xample,)f(in)i
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 endTexFig
 2022 4117 a Fk(Fig)o(.)11 b(9.)29 b Fd(Cumulative)g(distrib)o(ution)g
(of)f(RDP)g(aver)o(-)2022 4208 y(a)o(g)o(ed)20 b(o)o(ver)g(100)g(tr)o
(af)o(\002c)e(sour)m(ces)648 4506 y Fp(In)f(this)h(section,)f(we)h(e)n
(v)n(aluate,)f(through)e(simulation,)i(the)g(performance)e(of)i(our)g
(CAN-based)523 4606 y(multicast)28 b(scheme.)e(W)-7 b(e)29
b(adopt)e(the)g(performance)e(metrics)i(and)g(e)n(v)n(aluation)f
(strate)o(gy)h(used)g(in)p 523 4654 473 4 v 558 4710
a Fg(5)606 4742 y Fl(Note)17 b(that)f(relaying)h(in)g(our)f(case)h(is)f
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(v)o(en)f(these)606 4924 y(can)h(be)h(relayed)f(through)h(an)o(y)g
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%%Page: 11 11
11 10 bop 523 448 a Fp([4].)19 b(As)h(with)g(pre)n(vious)e(e)n(v)n
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y(tructure.)g(T)-7 b(o)23 b(join)g(a)h(multicast)g(session,)f(Bayeux)g
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1862 y(node.)17 b(The)h(source)g(replies)g(to)g(a)h Ff(JOIN)g
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b(VE)27 b Fp(message)g(from)f(an)i(e)o(xisting)e(member)g(triggers)g(a)
i Ff(PR)m(UNE)f Fp(message)g(from)f(the)h(root,)523 2261
y(which)32 b(remo)o(v)o(es)g(the)h(appropriate)d(forw)o(arding)h(state)
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523 2460 y(scalable)28 b(routing)f(infrastructure)f(pro)o(vided)f(by)j
(systems)h(lik)o(e)f(CAN)h(and)f(T)-7 b(apestry)i(.)27
b(In)g(terms)523 2560 y(of)21 b(service)h(model,)e(Bayeux)h
(fundamentally)e(supports)i(only)g(source-speci\002c)f(multicast)h
(while)523 2659 y(CAN-based)k(multicast)g(allo)n(ws)h(an)o(y)e(group)g
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523 2759 y(design,)16 b(Bayeux)g(uses)i(an)f(e)o(xplicit)f(protocol)g
(to)h(set-up)g(and)f(tear)h(do)n(wn)f(a)i(distrib)n(ution)d(tree)j
(from)523 2859 y(the)k(source)g(node)f(to)i(the)f(current)f(set)j(of)e
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2958 y(fully)f(e)o(xploits)f(the)h(CAN)h(structure)e(because)h(of)f
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3058 y(requiring)f(a)j(routing)d(protocol)h(to)h(e)o(xplicitly)f
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f(sys-)523 3665 y(tems)h(described)f(abo)o(v)o(e.)e(Unlik)o(e)j(Ov)o
(ercast,)f(CANs)h(can)g(be)g(composed)e(entirely)g(from)h(end-user)523
3765 y(machines)h(with)i(no)f(form)f(of)h(central)f(authority)-5
b(.)523 4079 y Fj(6)99 b(Conclusion)523 4327 y Fp(Content-Addressable)
24 b(Netw)o(orks)i(ha)n(v)o(e)h(the)f(potential)g(to)h(serv)o(e)f(as)i
(an)e(infrastructure)f(that)i(is)523 4426 y(useful)d(across)h(a)g
(range)f(of)g(applications.)f(In)i(this)g(paper)m(,)e(we)i(present)f
(and)g(e)n(v)n(aluate)g(a)h(scheme)523 4526 y(that)33
b(e)o(xtends)e(the)i(basic)g(CAN)g(frame)n(w)o(ork)e(to)i(support)e
(application-le)n(v)o(el)f(multicast)i(deli)n(v-)523
4625 y(ery)-5 b(.)25 b(There)h(are,)g(we)h(belie)n(v)o(e,)e(tw)o(o)i(k)
o(e)o(y)e(bene\002ts)i(to)f(CAN-based)g(multicast:)g(the)h(potential)e
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(restricting)h(the)g(service)h(model)e(and)h(the)g(simplicity)g(of)g
(the)523 4825 y(scheme)22 b(under)f(the)h(assumption)f(of)h(the)h
(deplo)o(yment)d(of)i(a)g(distrib)n(uted)g(infrastructure)e(such)i(as)
523 4924 y(a)f(Content-Addressable)c(Netw)o(ork.)p eop
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15 14 bop 648 448 a Fp(Our)25 b(CAN-based)f(multicast)i(scheme)e(is)j
(optimal)d(in)i(terms)f(of)g(the)g(distance)g(\(in)g(terms)h(of)523
548 y(path)18 b(length\))f(in)h(\003ooding)f(messages)i(o)o(v)o(er)d
(the)j(CAN)g(o)o(v)o(erlay)d(structure)i(itself.)g(In)g(future)f(w)o
(ork,)523 648 y(we)30 b(intend)f(looking)f(into)i(simple)f(clustering)g
(techniques)f(to)i(further)f(reduce)f(the)i(link)f(stress)523
747 y(caused)23 b(by)g(our)f(\003ooding)g(algorithm)g(and)h
(understanding)d(what)j(the)h(fundamental)d(limitations)523
847 y(there)e(are.)h(A)g(number)e(of)i(important)e(questions)h(such)g
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(addressed)f(in)h(the)g(conte)o(xt)f(of)h(CAN-based)g(multicast.)523
1212 y Fj(7)99 b(Ackno)o(wledgments)523 1403 y Fl(W)-6
b(e)18 b(thank)i(Ion)f(Stoica)g(for)g(his)g(v)n(aluable)h(input)f(and)g
(Y)-7 b(an)19 b(Chen)h(and)f(Morle)o(y)h(Mao)f(for)g(sharing)h(their)e
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b(M)t Fa(C)t Fl(C)t Fa(A)t(N)t(N)t(E)t Fl(,)f(S)t(.)t(,)g
Fa(A)t(N)t(D)i Fl(B)t Fa(R)t(E)t(W)t(E)t(R)t Fl(,)d(E)t(.)23
b(An)16 b(architecture)h(for)g(internet)g(content)g(dis-)658
1951 y(trib)o(ution)22 b(as)f(an)i(infrastructure)f(service.)37
b(a)o(v)n(ailable)22 b(at)f(http://www)-5 b(.cs.berk)o(ele)o(y)g(.edu/)
23 b(yatin/papers,)658 2042 y(2000.)560 2134 y(2.)44
b(D)t Fa(E)t(E)t(R)t(I)t(N)t(G)t Fl(,)29 b(S)t(.)j(E)t(.)61
b Fd(Multicast)30 b(Routing)g(in)f(a)g(Data)o(gr)o(am)i(Internetwork)p
Fl(.)61 b(PhD)29 b(thesis,)g(Stanford)658 2225 y(Uni)n(v)o(ersity)-5
b(,)19 b(Dec.)g(1991.)560 2316 y(3.)44 b(F)t Fa(R)t(A)t(N)t(C)t(I)t(S)t
Fl(,)20 b(P)l(.)30 b(Y)-8 b(oid:)20 b(Extending)g(the)g(internet)g
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(ail-)658 2408 y(able)f(at)g(http://www)-5 b(.aciri.or)o
(g/yoid/docs/inde)o(x.html,)19 b(Apr)l(.)f(2000.)560
2499 y(4.)44 b Fa(H)t(U)r(A)22 b Fl(C)t Fa(H)t(U)t Fl(,)f(Y)-6
b(.)t(,)22 b(R)t Fa(A)q(O)t Fl(,)f(S)t(.)t(,)g Fa(A)t(N)t(D)i
Fl(Z)t Fa(H)t(A)t(N)t(G)t Fl(,)e(H)t(.)28 b(A)19 b(case)h(for)e(end)i
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2590 y(of)g(SIGMETRICS)f(2000)i Fl(\(Santa)f(Clara,)f(CA,)g(June)h
(2000\).)560 2682 y(5.)44 b(J)p Fa(A)t(N)t(N)t(O)r(T)t(T)t(I)t
Fl(,)18 b(J)t(.)t(,)i(G)t Fa(I)t(FF)t(O)t(R)t(D)t Fl(,)f(D)t(.)t(,)h(J)
t Fa(O)t(H)t(N)t(S)t(O)t(N)t Fl(,)g(K)t(.)t(,)g(K)t Fa(A)t(A)t(S)t(H)t
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Fa(O)t(O)t(L)t(E)t Fl(,)c(J)t(.)26 b(Ov)o(ercast:)658
2773 y(Reliable)19 b(multicasting)h(with)g(an)g(o)o(v)o(erlay)g(netw)o
(ork.)30 b(In)20 b Fd(Pr)m(oceedings)h(of)e(the)h(F)-8
b(ourth)20 b(Symposium)h(on)658 2864 y(Oper)o(ating)f(Systems)f(Design)
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560 2956 y(6.)44 b(R)t Fa(A)m(T)t(N)r(A)t(S)t(A)t(M)t(Y)-5
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Fl(,)f(P)l(.)t(,)h(H)t Fa(A)t(N)t(D)t(L)t(E)t(Y)-5 b
Fl(,)21 b(M)t(.)t(,)h(K)t Fa(A)t(R)t(P)m Fl(,)f(R)t(.)t(,)h
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b(A)19 b(Scalable)658 3047 y(Content-Addressable)h(Netw)o(ork.)28
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Fl(,)d(J)t(.)t(,)i Fa(A)t(N)t(D)h Fl(J)t Fa(O)t(S)t(E)t(P)t(H)t
Fl(,)f(A)t(.)44 b(T)-6 b(apestry:)24 b(An)g(infrastructure)g(for)g(f)o
(ault-)658 3960 y(tolerant)33 b(wide-area)g(location)g(and)h(routing.)
72 b(a)o(v)n(ailable)33 b(at)f(http://www)-5 b(.cs.berk)o(ele)o(y)g
(.edu/)34 b(ra)o(v)o(en-)658 4051 y(ben/tapestry/,)19
b(2001.)523 4143 y(11.)44 b(Z)t Fa(H)t(U)r(A)t(N)t(G)t
Fl(,)22 b(S)t(.)h(Q)t(.)t(,)g(Z)t Fa(H)t(A)q(O)t Fl(,)g(B)t(.)t(,)g(J)t
Fa(O)t(S)t(E)t(P)t(H)t Fl(,)f(A)t(.)t(,)h(K)t Fa(A)m(T)t(Z)t
Fl(,)g(R)t(.)t(,)g Fa(A)t(N)t(D)h Fl(K)t Fa(U)t(B)t(I)t(A)m(T)s(O)r(W)t
(I)t(C)t(Z)t Fl(,)c(J)t(.)34 b(Bayeux:)22 b(An)658 4234
y(architecture)29 b(for)f(scalable)h(and)g(f)o(ault-tolerant)g
(wide-area)g(data)g(dissemination.)58 b(In)29 b Fd(Pr)m(oceedings)658
4325 y(of)22 b(the)h(Ele)o(venth)g(International)h(W)-7
b(orkshop)24 b(on)f(Network)g(and)g(OS)g(Support)h(for)e(Digital)g(A)o
(udio)h(and)658 4417 y(V)-6 b(ideo)19 b Fl(\(Ne)n(w)g(Y)-8
b(ork,)19 b(July)g(2001\),)h(A)m(CM.)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF