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Network Layer (Routing)

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Page 1: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Network Layer (Routing)

Page 2: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Recap: Why do we need a Network layer?

• Internetworking• Need to connect different link layer networks

•Addressing• Need a globally unique way to “address” hosts

•Routing and forwarding• Need to find and traverse paths between hosts

CSE 461 University of Washington 2

Now this

Page 3: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Recap: Routing versus Forwarding

•Forwarding is the process of sending a packet on its way

•Routing is the process of deciding in which direction to send traffic

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Forward!packet

Which way?

Which way?

Which way?

Page 4: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Overview of Internet Routing and Forwarding

•Hosts on same network have IPs in the same IP prefix•Hosts send off-network traffic to the gateway router

•Routers discover routes to different prefixes (routing)•Routers use longest prefix matching to send packets

to the right next hop (forwarding)

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Page 5: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Longest Prefix Matching

•Prefixes in the forwarding table can overlap

• Longest prefix matching forwarding rule:• For each packet, find the longest prefix that contains the

destination address, i.e., the most specific entry• Forward the packet to the next hop router for that prefix

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Prefix Next Hop0.0.0.0/0 A

192.24.0.0/19 B

192.24.12.0/22 C

Page 6: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Longest Prefix Matching (2)

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Prefix Next Hop192.24.0.0/19 D

192.24.12.0/22 B

192.24.0.0

192.24.63.255

/19

/22192.24.12.0

192.24.15.255

IP address

192.24.6.0 à ? 192.24.14.32 à ?192.24.54.0 à ?

More specific

Page 7: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Flexibility of Longest Prefix Matching

•Can provide default behavior, with less specifics• Send traffic going outside an organization to a border

router (gateway)•Can special case behavior, with more specifics• For performance, economics, security, …

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Page 8: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Performance of Longest Prefix Matching

•Uses hierarchy for a compact table• Relies on use of large prefixes

• Lookup more complex than table• Used to be a concern for fast routers• Not an issue in practice these days

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Page 9: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Goals of Routing Algorithms

• We want several properties of any routing scheme:

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Property Meaning

Correctness Finds paths that workEfficient paths Uses network bandwidth wellFair paths Doesn’t starve any nodesFast convergence Recovers quickly after changesScalability Works well as network grows large

Page 10: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Rules of Fully Distributed Routing

•All nodes are alike; no controller•Nodes learn by exchanging messages with neighbors •Nodes operate concurrently • There may be node/link/message failures

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Who’s there?

Page 11: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Simple routing that obeys the rules

•Send out routes for hosts you have paths to• And the routes they’ve sent you

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PA

B

EE

B

A,B,E

•This works• All routers find a

path to all hosts•But scales poorly!

Page 12: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Internet Growth

•Over a billion Internet hosts and growing …

Page 13: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Impact of Routing Growth

1. Forwarding tables grow• Larger router memories, may increase lookup time

2. Routing messages grow• Need to keeps all nodes informed of larger topology

3. Routing computation grows• Shortest path calculations grow faster than the network

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Page 14: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Techniques to Scale Routing

•First: Network hierarchy• Route to network regions

•Next: IP prefix aggregation• Combine, and split, prefixes

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Page 15: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Scaling Idea 1: Hierarchical Routing

Page 16: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Idea

•Scale routing using hierarchy with regions• Route to regions, not individual nodes

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To the West!

West East

Destination

Page 17: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Hierarchical Routing

• Introduce a larger routing unit• IP prefix (hosts) ß from one host• Region, e.g., ISP network

•Route first to the region, then to the IP prefix within the region• Hide details within a region from outside of the region

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Page 18: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Hierarchical Routing (2)

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Page 19: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Hierarchical Routing (3)

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Page 20: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Hierarchical Routing (4)

• Penalty is longer paths

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1C is best route to region 5, except for destination 5C

Page 21: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Observations

•Outside a region, nodes have one route to all hosts within the region• This gives savings in table size, messages and computation

•However, each node may have a different route to an outside region• Routing decisions are still made by individual nodes; there

is no single decision made by a region

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Page 22: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Scaling Idea 2:IP Prefix Aggregation and Subnets

Page 23: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Idea

•Scale routing by adjusting the size of IP prefixes• Split (subnets) and join (aggregation)

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I’m the whole region

Region1

2

3

IP /16IP1 /19IP2 /18IP3 /17

Page 24: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Recall

• IP addresses are allocated in blocks called IP prefixes, e.g., 18.31.0.0/16• Hosts on one network in same prefix

• “/N” prefix has the first N bits fixed and contains 232-N addresses• E.g., a “/24” has 256 addresses

•Routers keep track of prefix lengths• Use it as part of longest prefix matching

27

Routers can change prefix lengths without affecting hosts

Page 25: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Prefixes and Hierarchy

• IP prefixes help to scale routing, but can go further• Use a less specific (larger) IP prefix as a name for a region

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I’m the whole region

Region1

2

3

IP /16IP1 /19IP2 /18IP3 /17

Page 26: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Subnets and Aggregation

•Two use cases for adjusting the size of IP prefixes; both reduce routing table

1. Subnets• Internally split one large prefix into multiple smaller ones

2. Aggregation• Join multiple smaller prefixes into one large prefix

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Page 27: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Subnets

• Internally split up one IP prefix

32K addresses

One prefix sent to rest of Internet16K

8K

4K Company Rest of Internet

Page 28: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Aggregation

•Externally join multiple separate IP prefixesOne prefix sent to

rest of Internet

\

ISPRest of Internet

Page 29: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Routing Process

1. Ship these prefixes or regions around to nearby routers2. Receive multiple prefixes and the paths of how you got them3. Build a global routing table

Page 30: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Internet Routing Growth

Source: bgp.potaroo.net

Page 31: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Finding “Best” Paths

Page 32: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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What are “Best” paths anyhow?•Many possibilities:• Latency, avoid circuitous paths• Bandwidth, avoid slow links•Money, avoid expensive links• Hops, to reduce switching

•But only consider topology• Ignore workload, e.g., hotspots

A B

C

D

E

F

G

H

Page 33: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Shortest Paths

We’ll approximate “best” by a cost function that captures the factors•Often called “least cost” or “shortest”

1. Assign each link a cost (distance)2. Define best path between each pair of nodes as

the path that has the least total cost3. Pick randomly to any break ties

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Page 34: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Shortest Paths (2)

•Find the shortest path A à E

•All links are bidirectional, with equal costs in each direction• Can extend model to unequal

costs if needed A B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

Page 35: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Shortest Paths (3)

•ABCE is a shortest path• cost(ABCE) = 4 + 2 + 1 = 7

• It is shorter than:• cost(ABE) = 8• cost(ABFE) = 9• cost(AE) = 10• cost(ABCDE) = 10

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

Page 36: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Shortest Paths (4)

•Optimality property:• Subpaths of shortest paths are

also shortest paths •ABCE is a shortest path

àSo are ABC, AB, BCE, BC, CEA B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

Page 37: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Sink Trees

•Sink tree for a destination is the union of all shortest paths towards the destination• Similarly source tree

•Find the sink tree for E A B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

Page 38: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

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Sink Trees (2)

• Implications:• Only need to use destination to

follow shortest paths• Each node only need to send to

the next hop•Forwarding table at a node• Lists next hop for each

destination• Routing table may know more

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

Page 39: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector Routing

Page 40: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector Routing

•Simple, early routing approach• Used in ARPANET, and RIP

•One of two main approaches to routing• Distributed version of Bellman-Ford•Works, but very slow convergence after some failures

• Link-state algorithms are now typically used in practice•More involved, better behavior

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Page 41: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector Setting

Each node computes its forwarding table in a distributed setting:

1. Nodes know only the cost to their neighbors; not topology2. Nodes can talk only to their neighbors using messages3. All nodes run the same algorithm concurrently4. Nodes and links may fail, messages may be lost

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Page 42: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector Algorithm

Each node maintains a vector of (distance, next hop) to all destinations1. Initialize vector with 0 (zero) cost to self, ∞ (infinity) to

other destinations2. Periodically send vector to neighbors3. Update vector for each destination by selecting the

shortest distance heard, after adding cost of neighbor link4. Use the best neighbor for forwarding

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Page 43: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector (2)

•Consider from the point of view of node A• Can only talk to nodes B and E

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A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

To CostA 0B ∞C ∞D ∞E ∞F ∞G ∞H ∞

Initialvector

Page 44: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector (3)

•First exchange with B, E; learn best 1-hop routes

47

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

A’s Cost

A’s Next

0 --4 B∞ --∞ --10 E∞ --∞ --∞ --

To B says

E says

A ∞ ∞B 0 ∞C ∞ ∞D ∞ ∞E ∞ 0F ∞ ∞G ∞ ∞H ∞ ∞

B +4

E +10

∞ ∞4 ∞∞ ∞∞ ∞∞ 10∞ ∞∞ ∞∞ ∞

Learned better route

Page 45: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector (4)

•Second exchange; learn best 2-hop routes

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A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

A’s Cost

A’s Next

0 --4 B6 B12 E8 B7 B7 B∞ --

To B says

E says

A 4 10B 0 4C 2 1D ∞ 2E 4 0F 3 2G 3 ∞H ∞ ∞

B +4

E +10

8 204 146 11∞ 128 107 127 ∞∞ ∞

Page 46: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector (4)

•Third exchange; learn best 3-hop routes

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A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

A’s Cost

A’s Next

0 --4 B6 B8 B7 B7 B7 B9 B

To B says

E says

A 4 8B 0 3C 2 1D 4 2E 3 0F 3 2G 3 6H 5 4

B +4

E +10

8 184 136 118 127 107 127 169 14

Page 47: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector (5)

•Subsequent exchanges; converged

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A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

A’s Cost

A’s Next

0 --4 B6 B8 B8 B7 B7 B9 B

To B says

E says

A 4 7B 0 3C 2 1D 4 2E 3 0F 3 2G 3 6H 5 4

B +4

E +10

8 174 136 118 127 107 127 169 14

Page 48: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Distance Vector Dynamics

•Adding routes:• News travels one hop per exchange

•Removing routes:•When a node fails, no more exchanges, other nodes forget

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Problem?

Page 49: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Count to Infinity: Problem

•Good news travels quickly, bad news slowly (inferred)

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“Count to infinity” scenario

Desired convergence

X

Page 50: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Count to Infinity: Heuristics

• “Split horizon” • Don’t send route back to where you learned it from.

•Poison reverse• Send “infinity” when you notice a disconnect

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X X

Page 51: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Count to Infinity: Heuristics (2)

•Neither split horizon and poison reverse are very effective in practice• Link state is now favored except when resource-limited

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Page 52: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

RIP (Routing Information Protocol)

•DV protocol with hop count as metric• Infinity is 16 hops; limits network size• Includes split horizon, poison reverse

•Routers send vectors every 30 seconds• Runs on top of UDP• Time-out in 180 secs to detect failures

•RIPv1 specified in RFC1058 (1988)

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Page 53: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Link-State Routing

Page 54: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Link-State Routing

•Second broad class of routing algorithms•More computation than DV but better dynamics

•Widely used in practice• Used in Internet/ARPANET from 1979•Modern networks use OSPF (L3) and IS-IS (L2)

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Page 55: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Link-State Setting

Same distributed setting as for distance vector:

1. Nodes know only the cost to their neighbors; not topology2. Nodes can talk only to their neighbors using messages3. All nodes run the same algorithm concurrently4. Nodes/links may fail, messages may be lost

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Page 56: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Link-State Algorithm

Proceeds in two phases:1. Nodes flood topology with link state packets• Each node learns full topology

2. Each node computes its own forwarding table• By running Dijkstra (or equivalent)

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Page 57: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Part 1: Flood Routing

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Flooding

•Rule used at each node:• Sends an incoming message on to all other neighbors• Remember the message so that it is only flood once

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Page 59: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Flooding (2)

•Consider a flood from A; first reaches B via AB, E via AE

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A B

C

D

E

F

G

H

Page 60: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Flooding (3)

•Next B floods BC, BE, BF, BG, and E floods EB, EC, ED, EF

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A B

C

D

E

F

G

H

E and B send to each other

Page 61: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Flooding (4)

•C floods CD, CH; D floods DC; F floods FG; G floods GF

64

A B

C

D

E

F

G

H

F gets another copy

Page 62: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Flooding (5)

•H has no-one to flood … and we’re done

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A B

C

D

E

F

G

H

Each link carries the message, and in at least one direction

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Flooding Details

•Remember message (to stop flood) using source and sequence number• So next message (with higher sequence) will go through

•To make flooding reliable, use ARQ• So receiver acknowledges, and sender resends if needed

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Problem?

Page 64: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Flooding Problem

•F receives the same message multiple times

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A B

C

D

E

F

G

H

E and B send to each other too

Page 65: Network Layer (Routing) - courses.cs.washington.edu · 2019-02-14 · Network Layer (Routing) Recap: Why do we need a Network layer? •Internetworking •Need to connect different

Part 2: Dijkstra’s Algorithm

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CSE 461 University of Washington 69

Edsger W. Dijkstra (1930-2002)

•Famous computer scientist• Programming languages• Distributed algorithms• Program verification

•Dijkstra’s algorithm, 1969• Single-source shortest paths, given

network with non-negative link costsBy Hamilton Richards, CC-BY-SA-3.0, via Wikimedia Commons

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Dijkstra’s Algorithm

Algorithm:•Mark all nodes tentative, set distances from source to 0

(zero) for source, and ∞ (infinity) for all other nodes•While tentative nodes remain:• Extract N, a node with lowest distance• Add link to N to the shortest path tree• Relax the distances of neighbors of N by lowering any better

distance estimates

CSE 461 University of Washington 70

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Dijkstra’s Algorithm (2)

• Initialization

CSE 461 University of Washington 71

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

0 ∞

∞ ∞

We’ll compute shortest paths

from A ∞

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Dijkstra’s Algorithm (3)

• Relax around A

CSE 461 University of Washington 72

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0 ∞

∞ 10

4

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Dijkstra’s Algorithm (4)

• Relax around B

CSE 461 University of Washington 73

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0 ∞

8

4

Distance fell!

6

7

7

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Dijkstra’s Algorithm (5)

• Relax around C

CSE 461 University of Washington 74

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0

7

4

Distance fellagain!

6

7

7

8

9

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Dijkstra’s Algorithm (6)

• Relax around G (say)

CSE 461 University of Washington 75

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0

7

4

Didn’t fall …

6

7

7

8

9

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Dijkstra’s Algorithm (7)

• Relax around F (say)

CSE 461 University of Washington 76

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

3

3

3

0

7

4

Relax has no effect

6

7

7

8

9

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Dijkstra’s Algorithm (8)

• Relax around E

CSE 461 University of Washington 77

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0

7

4

6

7

7

8

9

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Dijkstra’s Algorithm (9)

• Relax around D

CSE 461 University of Washington 78

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0

7

4

6

7

7

8

9

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Dijkstra’s Algorithm (10)

• Finally, H … done

CSE 461 University of Washington 79

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

0

7

4

6

7

7

8

9

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Dijkstra Comments

• Finds shortest paths in order of increasing distance from source• Leverages optimality property

• Runtime depends on cost of extracting min-cost node• Superlinear in network size (grows fast) • Using Fibonacci Heaps the complexity turns out to be

O(|E|+|V|log| V|)•Gives complete source/sink tree• More than needed for forwarding!• But requires complete topology

CSE 461 University of Washington 80

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Bringing it all together…

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CSE 461 University of Washington 82

Phase 1: Topology Dissemination• Each node floods link state packet

(LSP) that describes their portion of the topology

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

Seq. #A 10B 4C 1D 2F 2

Node E’s LSP flooded to A, B, C, D, and F

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Phase 2: Route Computation

•Each node has full topology• By combining all LSPs

•Each node simply runs Dijkstra• Replicated computation, but finds required routes directly• Compile forwarding table from sink/source tree• That’s it folks!

CSE 461 University of Washington 83

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Forwarding Table

CSE 461 University of Washington 84

To NextA CB CC CD DE --F FG FH CA B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

Source Tree for E (from Dijkstra) E’s Forwarding Table

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Handling Changes

• On change, flood updated LSPs, re-compute routes• E.g., nodes adjacent to failed link or node initiate

CSE 461 University of Washington 85

A B

C

D

E

F

G

H

2

1

10

2

24

24

4

33

3

XXXXSeq. #

A 4C 2E 4F 3G ∞

B’s LSPSeq. #

B 3E 2G ∞

F’s LSPFailure!

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Handling Changes (2)

• Link failure• Both nodes notice, send updated LSPs• Link is removed from topology

•Node failure• All neighbors notice a link has failed• Failed node can’t update its own LSP• But it is OK: all links to node removed

CSE 461 University of Washington 86

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Handling Changes (3)

•Addition of a link or node• Add LSP of new node to topology• Old LSPs are updated with new link

•Additions are the easy case …

CSE 461 University of Washington 87

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Link-State Complications

• Things that can go wrong:• Seq. number reaches max, or is corrupted• Node crashes and loses seq. number• Network partitions then heals

• Strategy:• Include age on LSPs and forget old information that is not

refreshed•Much of the complexity is due to handling corner cases

CSE 461 University of Washington 88

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DV/LS Comparison

CSE 461 University of Washington 89

Goal Distance Vector Link-State

Correctness Distributed Bellman-Ford Replicated Dijkstra

Efficient paths Approx. with shortest paths Approx. with shortest paths

Fair paths Approx. with shortest paths Approx. with shortest paths

Fast convergence Slow – many exchanges Fast – flood and compute

Scalability Excellent – storage/compute Moderate – storage/compute

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IS-IS and OSPF Protocols

•Widely used in large enterprise and ISP networks• IS-IS = Intermediate System to Intermediate System• OSPF = Open Shortest Path First

• Link-state protocol with many added features• E.g., “Areas” for scalability

CSE 461 University of Washington 90

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Equal-Cost Multi-Path Routing

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Multipath Routing

•Allow multiple routing paths from node to destination be used at once• Topology has them for redundancy• Using them can improve performance

•Questions:• How do we find multiple paths?• How do we send traffic along them?

CSE 461 University of Washington 92

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CSE 461 University of Washington 93

Equal-Cost Multipath Routes•One form of multipath routing• Extends shortest path model by

keeping set if there are ties

•Consider AàE• ABE = 4 + 4 = 8• ABCE = 4 + 2 + 2 = 8• ABCDE = 4 + 2 + 1 + 1 = 8• Use them all!

A B

C

D

E

F

G

H

2

2

10

1

14

24

4

3

3

3

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Source “Trees”

•With ECMP, source/sink “tree” is a directed acyclic graph (DAG)• Each node has set of next hops• Still a compact representation

CSE 461 University of Washington 94

Tree DAG

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CSE 461 University of Washington 95

Source “Trees” (2)

•Find the source “tree” for E• Procedure is Dijkstra, simply

remember set of next hops• Compile forwarding table similarly,

may have set of next hops

•Straightforward to extend DV too• Just remember set of neighbors

A B

C

D

E

F

G

H

2

2

10

1

1

4

24

4

3

3

3

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Source “Trees” (3)

CSE 461 University of Washington 96

Source Tree for E E’s Forwarding Table

A B

C

D

E

F

G

H

2

2

10

1

14

24

4

3

3

3

Node Next hopsA B, C, DB B, C, DC C, DD DE --F FG FH C, D

New for ECMP

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Forwarding with ECMP

•Could randomly pick a next hop for each packet based on destination• Balances load, but adds jitter

• Instead, try to send packets from a given source/destination pair on the same path• Source/destination pair is called a flow•Map flow identifier to single next hop• No jitter within flow, but less balanced

CSE 461 University of Washington 97

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Forwarding with ECMP (2)

CSE 461 University of Washington 98

A B

C

D

E

F

G

H

2

2

10

1

14

24

4

33

3

Multipath routes from F/E to C/H E’s Forwarding Choices

Flow Possiblenext hops

Example choice

F à H C, D DF à C C, D DE à H C, D CE à C C, D C

Use both paths to getto one destination

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Border Gateway Protocol (BGP)

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Structure of the Internet

•Networks (ISPs, CDNs, etc.) group with IP prefixes•Networks are richly interconnected, often using IXPs

CDN C

Prefix C1

ISP APrefix A1

Prefix A2Net F

Prefix F1

IXPIXP

IXP IXP

CDN D

Prefix D1

Net E

Prefix E1

Prefix E2

ISP B

Prefix B1

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Internet-wide Routing Issues

•Two problems beyond routing within a network

1. Scaling to very large networks• Techniques of IP prefixes, hierarchy, prefix aggregation

2. Incorporating policy decisions• Letting different parties choose their routes to suit their

own needs

CSE 461 University of Washington 101

Yikes!

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CSE 461 University of Washington 102

Effects of Independent Parties

•Each party selects routes to suit its own interests• e.g, shortest path in ISP

•What path will be chosen for A2àB1 and B1àA2?•What is the best path? Prefix B2

Prefix A1ISP A ISP B

Prefix B1

Prefix A2

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CSE 461 University of Washington 103

Effects of Independent Parties (2)

•Selected paths are longer than overall shortest path• And asymmetric too!

•Consequence of independent goals and decisions, not hierarchy Prefix B2

Prefix A1ISP A ISP B

Prefix B1

Prefix A2

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Routing Policies

•Capture the goals of different parties• Could be anything• E.g., Internet2 only carries non-commercial traffic

•Common policies we’ll look at:• ISPs give TRANSIT service to customers• ISPs give PEER service to each other

CSE 461 University of Washington 104

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CSE 461 University of Washington 105

Routing Policies – Transit•One party (customer) gets TRANSIT

service from another party (ISP)• ISP accepts traffic for customer from

the rest of Internet• ISP sends traffic from customer to the

rest of Internet• Customer pays ISP for the privilege

Customer 1

ISP

Customer 2

Rest ofInternet

Non-customer

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CSE 461 University of Washington 106

Routing Policies – Peer•Both party (ISPs in example) get

PEER service from each other• Each ISP accepts traffic from the other

ISP only for their customers• ISPs do not carry traffic to the rest of

the Internet for each other• ISPs don’t pay each other

Customer A1

ISP A

Customer A2

Customer B1

ISP B

Customer B2

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Routing with BGP

• iBGP is for internal routing•eBGP is interdomain routing for the Internet• Path vector, a kind of distance vector

107

ISP APrefix A1Prefix A2Net F

Prefix F1

IXP

ISP BPrefix B1 Prefix F1 via ISP

B, Net F at IXP

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Routing with BGP (2)

• Parties like ISPs are called AS (Autonomous Systems)• AS numbers are unique identifiers

• AS’s configure their internal BGP routes

• External routes go through complicated filters

• Intra-AS BGP routers communicate to keep consistent routing information

CSE 461 University of Washington 108

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Routing with BGP (3)

•Border routers of ASes announce BGP routes•Route announcements have IP prefix, path vector, next hop• Path vector is list of ASes on the way to the prefix• List is to find loops

•Route announcements move in the opposite direction to traffic

CSE 461 University of Washington 109

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Routing with BGP (4)

CSE 461 University of Washington 110

Prefix

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Routing with BGP (5)

Policy is implemented in two ways:

1. Border routers of ISP announce paths only to other parties who may use those paths• Filter out paths others can’t use

2. Border routers select the best path of the ones they hear in any way (not necessarily shortest)

CSE 461 University of Washington 111

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Routing with BGP (6)

• TRANSIT: AS1 says [B, (AS1, AS3)], [C, (AS1, AS4)] to AS2

CSE 461 University of Washington 112

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Routing with BGP (7)

• CUSTOMER (other side of TRANSIT): AS2 says [A, (AS2)] to AS1

CSE 461 University of Washington 113

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Routing with BGP (8)

• PEER: AS2 says [A, (AS2)] to AS3, AS3 says [B, (AS3)] to AS2

CSE 461 University of Washington 114

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Routing with BGP (9)

• AS2 has two routes to B (AS1, AS3) and chooses AS3 (Free!)

CSE 461 University of Washington 115

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BGP Thoughts

•Much more beyond basics to explore!•Policy is a substantial factor• Can independent decisions be sensible overall?

•Other important factors:• Convergence effects• How well it scales• Integration with intradomain routing• And more …

CSE 461 University of Washington 118

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BGP “bad gadget”: Non-convergence

[3, 0] > [0] > [3, 1, 0] [2, 0] > [0] > [2, 3, 0]

[1, 0] > [0] > [1, 2, 0]

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BGP slow convergence

1

2

3

4

0

[1, 0]------[3, 1, 0][4, 1, 0]

[1, 0]-------[2, 1, 0][3, 1, 0]

[1, 0]------[4, 1, 0][2, 1, 0]

x

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BGP slow convergence

1

2

3

4

0

[3, 1, 0]----------[4, 1, 0]

[2, 1, 0]----------[3, 1, 0]

[4, 1, 0]----------[2, 1, 0]

x

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BGP slow convergence

1

2

3

4

0

[3, 4, 1, 0] [2, 3, 1, 0]

[4, 2, 1, 0]x

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Cellular Routing

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Addressing in Cellular

• Everyone has a unique physical identifier: SIM Card• IMSI: International Mobile Subscriber

Identity• Has associated mobile provider• Phone number not present

• Known as “msisdn”

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Cellular Core Networks

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In-network routing

1. User dials phone number2. Number is “looked up” in some database3. If local, we get the associated IMSI4. Check that sender can send and receiver can receive5. Look up tower group of IMSIs last registration6. Page the receiver7. Bill them both

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Out-of-network Routing

•Signaling System No. 7 (SS7)• Performs number translation, local number portability,

prepaid billing, Short Message Service (SMS), roaming, and other stuff• Either directly connected or connected through

aggregators such as Cybase• Business vs Protocols