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IEE, October 2001Nick McKeown 1
High PerformanceSwitching and RoutingTelecom Center Workshop: Sept 4, 1997.
High Performance Routers
Slides originally by Nick McKeownProfessor of Electrical Engineering and Computer Science, Stanford University
[email protected]/~nickm
Stanford High Performance Networking group: http://klamath.stanford.edu
2IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future
3IEE, October 2001Nick McKeown
What is Routing Forwarding?
R3
A
B
C
R1
R2
R4 D
E
FR5
R5F
R3E
R3D
Next HopDestination
DD
4IEE, October 2001Nick McKeown
What is Routing?
R3
A
B
C
R1
R2
R4 D
E
FR5
R5F
R3E
R3D
Next HopDestination
D
DDD
16 3241
Data
Options (if any)
Destination Address
Source Address
Header ChecksumProtocolTTL
Fragment OffsetFlagsFragment ID
Total Packet LengthT.ServiceHLenVer
20
byte
s
5IEE, October 2001Nick McKeown
What is Routing?
A
B
C
R1
R2
R3
R4 D
E
FR5
6IEE, October 2001Nick McKeown
Points of Presence (POPs)
A
B
C
POP1
POP3POP2
POP4 D
E
F
POP5
POP6 POP7POP8
7IEE, October 2001Nick McKeown
Where High Performance Routers are Used
R10 R11
R4
R13
R9
R5
R2R1 R6
R3 R7
R12
R16R15
R14
R8
(2.5 Gb/s)
(2.5 Gb/s)(2.5 Gb/s)
(2.5 Gb/s)
8IEE, October 2001Nick McKeown
What a Router Looks Like
Cisco GSR 12416 Juniper M160
6ft
19”
2ft
Capacity: 160Gb/sPower: 4.2kW
3ft
2.5ft
19”
Capacity: 80Gb/sPower: 2.6kW
9IEE, October 2001Nick McKeown
Generic Router Architecture
LookupIP Address
UpdateHeader
Header ProcessingData Hdr Data Hdr
1M prefixesOff-chip DRAM
AddressTable
AddressTable
IP Address Next Hop
QueuePacket
BufferMemoryBuffer
Memory1M packetsOff-chip DRAM
10IEE, October 2001Nick McKeown
Generic Router Architecture
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
Data Hdr
Data Hdr
Data Hdr
BufferManager
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
Data Hdr
Data Hdr
Data Hdr
11IEE, October 2001Nick McKeown
Why do we Need Faster Routers?
1. To prevent routers becoming the bottleneck in the Internet.
2. To increase POP capacity, and to reduce cost, size and power.
12IEE, October 2001Nick McKeown
0,1
1
10
100
1000
10000
1985 1990 1995 2000
Spec
95In
t CPU
resu
ltsWhy we Need Faster Routers
1: To prevent routers from being the bottleneck
0,1
1
10
100
1000
10000
1985 1990 1995 2000
Fib
er
Ca
pa
cit
y (
Gb
it/s
)
TDM DWDM
Packet processing Power Link Speed
2x / 18 months 2x / 7 months
Source: SPEC95Int & David Miller, Stanford.
13IEE, October 2001Nick McKeown
POP with smaller routers
Why we Need Faster Routers
2: To reduce cost, power & complexity of POPs
POP with large routers
Ports: Price >$100k, Power > 400W. It is common for 50-60% of ports to be for interconnection.
14IEE, October 2001Nick McKeown
Why are Fast Routers Difficult to Make?
1. It’s hard to keep up with Moore’s Law:
The bottleneck is memory speed. Memory speed is not keeping up
with Moore’s Law.
15IEE, October 2001Nick McKeown
Why are Fast Routers Difficult to Make?
Speed of Commercial DRAM
1. It’s hard to keep up with Moore’s Law:
The bottleneck is memory speed. Memory speed is not keeping up
with Moore’s Law.
0.001
0.01
0.1
1
10
100
1000
1980 1983 1986 1989 1992 1995 1998 2001
Acc
ess
Tim
e (n
s)
Moore’s Law2x / 18 months
1.1x / 18 months
16IEE, October 2001Nick McKeown
Why are Fast Routers Difficult to Make?
1. It’s hard to keep up with Moore’s Law:
The bottleneck is memory speed. Memory speed is not keeping up
with Moore’s Law. 2. Moore’s Law is too slow:
Routers need to improve faster than Moore’s Law.
17IEE, October 2001Nick McKeown
Router Performance Exceeds Moore’s Law
Growth in capacity of commercial routers: Capacity 1992 ~ 2Gb/s Capacity 1995 ~ 10Gb/s Capacity 1998 ~ 40Gb/s Capacity 2001 ~ 160Gb/s Capacity 2003 ~ 640Gb/s
Average growth rate: 2.2x / 18 months.
18IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future
19IEE, October 2001Nick McKeown
RouteTableCPU Buffer
Memory
LineInterface
MAC
LineInterface
MAC
LineInterface
MAC
Typically <0.5Gb/s aggregate capacity
First Generation Routers
Shared Backplane
Line Interface
CPU
Memory
20IEE, October 2001Nick McKeown
Second Generation RoutersRouteTableCPU
LineCard
BufferMemory
LineCard
MAC
BufferMemory
LineCard
MAC
BufferMemory
FwdingCache
FwdingCache
FwdingCache
MAC
BufferMemory
Typically <5Gb/s aggregate capacity
21IEE, October 2001Nick McKeown
Third Generation Routers
LineCard
MAC
LocalBuffer
Memory
CPUCard
LineCard
MAC
LocalBuffer
Memory
Switched Backplane
Line Interface
CPUMem
ory FwdingTable
RoutingTable
FwdingTable
Typically <50Gb/s aggregate capacity
22IEE, October 2001Nick McKeown
Fourth Generation Routers/Switches
Optics inside a router for the first time
Switch Core Linecards
Optical links
100sof metres
0.3 - 10Tb/s routers in development
23IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future
24IEE, October 2001Nick McKeown
Generic Router Architecture
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
BufferManager
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
LookupIP Address
AddressTable
AddressTable
LookupIP Address
AddressTable
AddressTable
LookupIP Address
AddressTable
AddressTable
25IEE, October 2001Nick McKeown
IP Address Lookup
Why it’s thought to be hard:1. It’s not an exact match: it’s a
longest prefix match. 2. The table is large: about 120,000
entries today, and growing. 3. The lookup must be fast: about 30ns
for a 10Gb/s line.
26IEE, October 2001Nick McKeown
IP Lookups find Longest Prefixes
128.9.16.0/21 128.9.172.0/21
128.9.176.0/24
0 232-1
128.9.0.0/16142.12.0.0/1965.0.0.0/8
128.9.16.14
Routing lookup: Find the longest matching prefix (aka the most specific route) among all prefixes that match the destination address.
27IEE, October 2001Nick McKeown
IP Address Lookup
Why it’s thought to be hard:1. It’s not an exact match: it’s a
longest prefix match. 2. The table is large: about 120,000
entries today, and growing. 3. The lookup must be fast: about 30ns
for a 10Gb/s line.
28IEE, October 2001Nick McKeown
Address Tables are Large
0
20000
40000
60000
80000
100000
120000
140000
Aug-87 May-90 J an-93 Oct-95 J ul-98 Apr-01 J an-04
Num
ber
of
prefi
xes
Source: Geoff Huston, Oct 2001
29IEE, October 2001Nick McKeown
IP Address Lookup
Why it’s thought to be hard:1. It’s not an exact match: it’s a
longest prefix match. 2. The table is large: about 120,000
entries today, and growing. 3. The lookup must be fast: about 30ns
for a 10Gb/s line.
30IEE, October 2001Nick McKeown
Lookups Must be Fast
12540Gb/s2003
31.2510Gb/s2001
7.812.5Gb/s1999
1.94622Mb/s1997
40B packets (Mpkt/s)
LineYear
31IEE, October 2001Nick McKeown
IP Address LookupBinary tries
Example Prefixes:a) 00001b) 00010c) 00011d) 001e) 0101f) 011g) 100h) 1010i) 1100j) 11110000
e
f g
h i
j
0 1
a b c
d
32IEE, October 2001Nick McKeown
Prefix Length Distribution
99.5% prefixes are 24-bits or shorter
0
10000
20000
30000
40000
50000
60000
70000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
Prefix Length
Num
ber
of P
refi
xes
Source: Geoff Huston, Oct 2001
33IEE, October 2001Nick McKeown
24-8 Direct Lookup Trie
0000……0000 1111……1111
0 224-1
24 bits
8 bits
0 28-1
When pipelined, allows one lookup per memory access. Although inefficient use of memory, total memory cost < $20.
34IEE, October 2001Nick McKeown
IP Address LookupSummary
Lookup limited by memory bandwidth.
Lookup uses high-degree trie.
State of the art: 10Gb/s line rate.Scales to: 40Gb/s line rate.
By 2008, entire IPv4 address space will fit on one $20 DRAM!
35IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future
36IEE, October 2001Nick McKeown
Generic Router Architecture
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
QueuePacket
BufferMemory
BufferMemory
QueuePacket
BufferMemory
BufferMemory
QueuePacket
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
BufferManager
BufferMemory
BufferMemory
37IEE, October 2001Nick McKeown
Fast Packet Buffers
Example: 40Gb/s packet bufferSize = RTT*BW = 10Gb; 40 byte packets
Write Rate, R
1 packetevery 8 ns
Read Rate, R
1 packetevery 8 ns
BufferManager
BufferMemory
Use SRAM?+ fast enough random access time, but
- too low density to store 10Gb of data.
Use SRAM?+ fast enough random access time, but
- too low density to store 10Gb of data.
Use DRAM?+ high density means we can store data, but- too slow (50ns random access time).
Use DRAM?+ high density means we can store data, but- too slow (50ns random access time).
38IEE, October 2001Nick McKeown
DRAM Buffer Memory
Packet Caches
Buffer Manager
SRAM
ArrivingPackets
DepartingPackets12
Q
21234
345
123456
Small ingress SRAM cache of FIFO headscache of FIFO tails
5556
9697
8788
57585960
899091
1
Q
2
Small ingress SRAM
1
57 6810 9
79 81011
1214 1315
5052 515354
8688 878991 90
8284 838586
9294 9395 68 7911 10
1
Q
2
DRAM Buffer Memory
b>>1 packets at a time
39IEE, October 2001Nick McKeown
Packet BuffersSummary
Packet buffers limited by memory bandwidth.
Packet buffer caches use hybrid SRAM+DRAM.
State of the art: 10Gb/s line rate. Scales to: 40Gb/s line rate.
40IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future
41IEE, October 2001Nick McKeown
Generic Router Architecture
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
QueuePacket
BufferMemory
BufferMemory
QueuePacket
BufferMemory
BufferMemory
QueuePacket
BufferMemory
BufferMemory
Data Hdr
Data Hdr
Data Hdr
1
2
N
1
2
N
N times line rate
N times line rate
42IEE, October 2001Nick McKeown
Generic Router Architecture
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
LookupIP Address
UpdateHeader
Header Processing
AddressTable
AddressTable
QueuePacket
BufferMemory
BufferMemory
QueuePacket
BufferMemory
BufferMemory
QueuePacket
BufferMemory
BufferMemory
Data Hdr
Data Hdr
Data Hdr
1
2
N
1
2
N
Data Hdr
Data Hdr
Data Hdr
Scheduler
43IEE, October 2001Nick McKeown
0% 20% 40% 60% 80% 100%Load
Del
ayOutput Buffered Switches
The best that any queueing system can
achieve.
44IEE, October 2001Nick McKeown
0% 20% 40% 60% 80% 100%Load
Del
ayInput Buffered Switches
Head of Line Blocking
The best that any queueing system can
achieve.
2 2 58%
45IEE, October 2001Nick McKeown
Head of Line Blocking
46IEE, October 2001Nick McKeown
Virtual Output Queues
47IEE, October 2001Nick McKeown
0% 20% 40% 60% 80% 100%Load
Del
ayA Router with Virtual Output
Queues
The best that any queueing system can
achieve.
48IEE, October 2001Nick McKeown
Maximum Weight Matching
A1(n)
N N
LNN(n)
A1N(n)
A11(n)
L11(n)
1 1
AN(n)
ANN(n)
AN1(n)
D1(n)
DN(n)
L11(n)
LN1(n)
“Request” Graph Bipartite Match
S*(n)
MaximumWeight Match
*
( )( ) arg max( ( ) ( ))T
S nS n L n S n
49IEE, October 2001Nick McKeown
The Evolution of Switching
Theory:
Practice:
InputQueueing
(IQ)
InputQueueing
(IQ)
InputQueueing
(IQ)
InputQueueing
(IQ)
58% [Karol, 1987]
IQ + VOQ,Maximum weight matching
IQ + VOQ,Maximum weight matching
IQ + VOQ,Sub-maximal size matching
e.g. PIM, iSLIP.
IQ + VOQ,Sub-maximal size matching
e.g. PIM, iSLIP.
100% [M et al., 1995]
Different weight functions,incomplete information, pipelining.
Different weight functions,incomplete information, pipelining.
Randomized algorithmsRandomized algorithms
100% [Tassiulas, 1998]
100% [Various]
Various heuristics, distributed algorithms,
and amounts of speedup
Various heuristics, distributed algorithms,
and amounts of speedup
IQ + VOQ,Maximal size matching,
Speedup of two.
IQ + VOQ,Maximal size matching,
Speedup of two.
100% [Dai & Prabhakar, 2000]
50IEE, October 2001Nick McKeown
SwitchingSummary
Routers use virtual output queues, and a centralized scheduler.
State of the art: 2.5Tb/s. Scales to: ~10Tb/s.
100% throughput will be standard soon.
51IEE, October 2001Nick McKeown
Current Internet Router Technology
Summary
There are three potential bottlenecks: Address lookup, Packet buffering, and Switching.
Techniques exist today for: 10+Tb/s Internet routers, with 40Gb/s linecards.
But what comes next…?
52IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future More parallelism. Eliminating schedulers. Introducing optics into routers. Natural evolution to circuit switching?
53IEE, October 2001Nick McKeown
External Parallelism: Multiple Parallel Routers
What we’d like:R
R R
R
The building blocks we’d like to use:
R
RR
R
NxN
IP Router capacity 100s of Tb/s
54IEE, October 2001Nick McKeown
Multiple parallel routers Load Balancing
R R
R
1
2
…
…
k
R
R
R
R/k R/k
R
R
R
55IEE, October 2001Nick McKeown
Intelligent Packet Load-balancing
Parallel Packet Switching
1
2
k
1
N
rate, R
rate, R
rate, R
rate, R
1
N
Router
Bufferless
R/k R/k
56IEE, October 2001Nick McKeown
Parallel Packet Switching
AdvantagesSingle-stage of bufferingNo excess link capacitykpower per subsystem kmemory bandwidth klookup rate
57IEE, October 2001Nick McKeown
Parallel Packet SwitchTheorem
If S > 2k/(k+2) 2 then a parallel packet switch can precisely emulate a single big router.
58IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future More parallelism. Eliminating schedulers. Introducing optics into routers. Natural evolution to circuit switching?
59IEE, October 2001Nick McKeown
Eliminating schedulersTwo-Stage Switch [Chang et al., 2001]
1
N
1
N
1
N
External Outputs
Internal Inputs
External Inputs
First Round-Robin Second Round-Robin
Load Balancing
60IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future More parallelism. Eliminating schedulers. Introducing optics into routers. Natural evolution to circuit switching?
61IEE, October 2001Nick McKeown
Do optics belong in routers?
They are already there.Connecting linecards to switches.
Optical processing doesn’t belong on the linecard.You can’t buffer light.Minimal processing capability.
Optical switching can reduce power.
62IEE, October 2001Nick McKeown
Optics in routers
Switch Core Linecards
Optical links
63IEE, October 2001Nick McKeown
Complex linecards
PhysicalLayer
Framing&
Maintenance
PacketProcessing
Buffer Mgmt&
Scheduling
Buffer Mgmt&
Scheduling
Buffer & StateMemory
Buffer & StateMemory
Typical IP Router Linecard
10Gb/s linecard: Number of gates: 30M Amount of memory: 2Gbits Cost: >$20k Power: 300W
LookupTables
SwitchFabric
Arbitration
Optics
64IEE, October 2001Nick McKeown
Replacing the switch fabric with optics
SwitchFabric
Arbitration
PhysicalLayer
Framing&
Maintenance
PacketProcessing
Buffer Mgmt&
Scheduling
Buffer Mgmt&
Scheduling
Buffer & StateMemory
Buffer & StateMemory
Typical IP Router Linecard
LookupTables
Optics
PhysicalLayer
Framing&
Maintenance
PacketProcessing
Buffer Mgmt&
Scheduling
Buffer Mgmt&
Scheduling
Buffer & StateMemory
Buffer & StateMemory
Typical IP Router Linecard
LookupTables
Opticselectrical
SwitchFabric
Arbitration
PhysicalLayer
Framing&
Maintenance
PacketProcessing
Buffer Mgmt&
Scheduling
Buffer Mgmt&
Scheduling
Buffer & StateMemory
Buffer & StateMemory
Typical IP Router Linecard
LookupTables
Optics
PhysicalLayer
Framing&
Maintenance
PacketProcessing
Buffer Mgmt&
Scheduling
Buffer Mgmt&
Scheduling
Buffer & StateMemory
Buffer & StateMemory
Typical IP Router Linecard
LookupTables
Optics
optical
Req/Grant Req/Grant
Candidate technologies 1. MEMs.
2. Fast tunable lasers + passive optical couplers.
3. Diffraction waveguides.4. Electroholographic materials.
65IEE, October 2001Nick McKeown
160Gb/s
40Gb/s
40Gb/s
40Gb/s
40Gb/s
Optical2-stageSwitch
• Line termination
• IP packet processing
• Packet buffering
• Line termination
• IP packet processing
• Packet buffering
160-320Gb/s
160-320Gb/s
Linecard #1 Linecard #625
100 Tb/s IP Router, 625 linecards, each operating at 160Gb/s.
The Stanford Phicticious Optical Router
66IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future More parallelism. Eliminating schedulers. Introducing optics into routers. Natural evolution to circuit switching?
67IEE, October 2001Nick McKeown
Evolution to circuit switching
• Optics enables simple, low-power, very high capacity circuit switches.
• The Internet was packet switched for two reasons:Expensive links: statistical
multiplexing.Resilience: soft-state routing.
• Neither reason holds today.
68IEE, October 2001Nick McKeown
Fast Links, Slow Routers
0,1
1
10
100
1000
10000
1985 1990 1995 2000
Fib
er
Cap
acit
y (G
bit
/s)
Fiber optics DWDM0.1
1
10
100
1000
10000
1985 1990 1995 2000
Spe
c95I
nt C
PU
res
ults
Processing Power Link Speed (Fiber)
2x / 2 years 2x / 7 months
Source: SPEC95Int; Prof. Miller, Stanford Univ.
69IEE, October 2001Nick McKeown
Fewer Instructions
1
10
100
1000
1996 1997 1998 1999 2000 2001
(log
scal
e)
Instructions per packet since 1996
70IEE, October 2001Nick McKeown
Outline
Background What is a router? Why do we need faster routers? Why are they hard to build?
Architectures and techniques The evolution of router architecture. IP address lookup. Packet buffering. Switching.
The Future More parallelism. Eliminating schedulers. Introducing optics into routers. Natural evolution to circuit switching?
71IEE, October 2001Nick McKeown
References
General1. J. S. Turner “Design of a Broadcast packet switching
network”, IEEE Trans Comm, June 1988, pp. 734-743.2. C. Partridge et al. “A Fifty Gigabit per second IP Router”,
IEEE Trans Networking, 1998.3. N. McKeown, M. Izzard, A. Mekkittikul, W. Ellersick, M.
Horowitz, “The Tiny Tera: A Packet Switch Core”, IEEE Micro Magazine, Jan-Feb 1997.
Fast Packet Buffers1. Sundar Iyer, Ramana Rao, Nick McKeown “Design of a fast
packet buffer”, IEEE HPSR 2001, Dallas.
72IEE, October 2001Nick McKeown
ReferencesIP Lookups1. A. Brodnik, S. Carlsson, M. Degermark, S. Pink. “Small
Forwarding Tables for Fast Routing Lookups”, Sigcomm 1997, pp 3-14.
2. B. Lampson, V. Srinivasan, G. Varghese. “ IP lookups using multiway and multicolumn search”, Infocom 1998, pp 1248-56, vol. 3.
3. M. Waldvogel, G. Varghese, J. Turner, B. Plattner. “Scalable high speed IP routing lookups”, Sigcomm 1997, pp 25-36.
4. P. Gupta, S. Lin, N. McKeown. “Routing lookups in hardware at memory access speeds”, Infocom 1998, pp 1241-1248, vol. 3.
5. S. Nilsson, G. Karlsson. “Fast address lookup for Internet routers”, IFIP Intl Conf on Broadband Communications, Stuttgart, Germany, April 1-3, 1998.
6. V. Srinivasan, G.Varghese. “Fast IP lookups using controlled prefix expansion”, Sigmetrics, June 1998.
73IEE, October 2001Nick McKeown
ReferencesSwitching• N. McKeown, A. Mekkittikul, V. Anantharam, and J. Walrand. Achieving
100% Throughput in an Input-Queued Switch. IEEE Transactions on Communications, 47(8), Aug 1999.
• A. Mekkittikul and N. W. McKeown, "A practical algorithm to achieve 100% throughput in input-queued switches," in Proceedings of IEEE INFOCOM '98, March 1998.
• L. Tassiulas, “Linear complexity algorithms for maximum throughput in radio networks and input queued switchs,” in Proc. IEEE INFOCOM ‘98, San Francisco CA, April 1998.
• D. Shah, P. Giaccone and B. Prabhakar, “An efficient randomized algorithm for input-queued switch scheduling,” in Proc. Hot Interconnects 2001.
• J. Dai and B. Prabhakar, "The throughput of data switches with and without speedup," in Proceedings of IEEE INFOCOM '00, Tel Aviv, Israel, March 2000, pp. 556 -- 564.
• C.-S. Chang, D.-S. Lee, Y.-S. Jou, “Load balanced Birkhoff-von Neumann
switches,” Proceedings of IEEE HPSR ‘01, May 2001, Dallas, Texas.
74IEE, October 2001Nick McKeown
ReferencesFuture• C.-S. Chang, D.-S. Lee, Y.-S. Jou, “Load balanced
Birkhoff-von Neumann switches,” Proceedings of IEEE HPSR ‘01, May 2001, Dallas, Texas.
• Pablo Molinero-Fernndez, Nick McKeown "TCP Switching: Exposing circuits to IP" Hot Interconnects IX, Stanford University, August 2001
• S. Iyer, N. McKeown, "Making parallel packet switches practical," in Proc. IEEE INFOCOM `01, April 2001, Alaska.