Physical and Link Layers - cs.ucl.ac.uk

Physical and Link Layers - cs.ucl.ac.uk

Distance Vector Routing Brad Karp UCL Computer Science CS 6007/GC15/GA07 5th, 6th March, 2008 Outline Routing Problem Definition Routing in Practice: traceroute Examples Definitions: Hosts, Routers, Interfaces, Subnets Shortest-Path Routing Routing Tables Distance Vector Algorithm Pathologies: Bouncing and Counting to Infinity Optimizations: Split Horizon and Poison Reverse War Story: Synchronization of Routing Messages 2 The Routing Problem Each router has several interfaces to links Each router has unique node ID Packets stamped with destination node ID Router must choose next hop for received packet Routing protocol: communication to accumulate state for use in forwarding decisions Routes change with topology D ? ? S 3 Routing on Changing Networks Links may be cut Routers or their interfaces may fail Hazard: traffic loops Amplify traffic; severely congest links TTL will eventually drop packets, but typically only after congestion Hazard: disconnection Any routing algorithm will take time to converge to correct routes after link(s) break 4 traceroute: Internet Routes Exposed UNIX: traceroute Windows: tracert Displays all hops on route between host where invoked and How: sends sequence of carefully constructed packets that expire after 1 hop, 2 hops, each elicits ICMP error from router that many hops from sender 5

Traceroute: boffin.cs.ucl.ac.uk to www.cl.cam.ac.uk (Cambridge, UK) traceroute to www.cl.cam.ac.uk (128.232.0.20), 64 hops max, 40 byte packets 1 cisco (128.16.64.1) 0.370 ms 0.322 ms 0.361 ms 2 128.40.255.29 (128.40.255.29) 0.483 ms 0.348 ms 0.487 ms 3 128.40.20.1 (128.40.20.1) 0.486 ms 0.342 ms 0.362 ms 4 128.40.20.62 (128.40.20.62) 0.486 ms 0.474 ms 0.363 ms 5 ulcc-gsr.lmn.net.uk (194.83.101.5) 0.485 ms 0.346 ms 0.362 ms 6 london-bar1.ja.net (146.97.40.33) 0.485 ms 0.470 ms 0.488 ms 7 po10-0.lond-scr.ja.net (146.97.35.5) 0.735 ms 0.722 ms 0.610 ms 8 po0-0.cambridge-bar.ja.net (146.97.35.10) 5.232 ms 4.964 ms 4.734 ms 9 route-enet-3.cam.ac.uk (146.97.40.50) 4.982 ms 4.841 ms 4.860 ms 10 route-cent-3.cam.ac.uk (192.153.213.194) 4.984 ms 4.964 ms 4.861 ms 6 traceroute: boffin.cs.ucl.ac.uk to www.icir.org (Berkeley, CA, USA) traceroute to www.icir.org (192.150.187.11), 64 hops max, 40 byte packets 1 cisco (128.16.64.1) 0.258 ms 0.310 ms 0.239 ms 2 128.40.255.29 (128.40.255.29) 0.481 ms 0.472 ms 0.368 ms 3 128.40.20.129 (128.40.20.129) 0.479 ms 0.350 ms 0.363 ms 4 128.40.20.190 (128.40.20.190) 0.486 ms 0.474 ms 0.363 ms 5 ulcc-gsr.lmn.net.uk (194.83.101.5) 0.360 ms 0.471 ms 0.362 ms 6 london-bar1.ja.net (146.97.40.33) 0.486 ms 0.471 ms 0.363 ms 7 po10-0.lond-scr.ja.net (146.97.35.5) 0.610 ms 0.595 ms 0.614 ms 8 po6-0.lond-scr3.ja.net (146.97.33.30) 1.110 ms 1.094 ms 0.989 ms 9 po1-0.gn2-gw1.ja.net (146.97.35.98) 0.983 ms 0.846 ms 0.862 ms 10 janet.rt1.lon.uk.geant2.net (62.40.124.197) 1.110 ms 1.092 ms 1.109 ms 11 uk.ny1.ny.geant.net (62.40.96.169) 69.695 ms 97.916 ms 69.688 ms 12 198.32.11.50 (198.32.11.50) 80.680 ms 70.045 ms 83.318 ms 13 chinng-nycmng.abilene.ucaid.edu (198.32.8.82) 95.302 ms 101.900 ms 89.927 ms 14 iplsng-chinng.abilene.ucaid.edu (198.32.8.77) 93.712 ms 94.003 ms 93.680 ms 15 kscyng-iplsng.abilene.ucaid.edu (198.32.8.81) 106.290 ms 105.278 ms 102.921 ms 16 dnvrng-kscyng.abilene.ucaid.edu (198.32.8.13) 113.542 ms 113.530 ms 115.905 ms 17 snvang-dnvrng.abilene.ucaid.edu (198.32.8.1) 138.648 ms 138.256 ms 138.294 ms 18 losang-snvang.abilene.ucaid.edu (198.32.8.94) 145.736 ms 145.625 ms 145.780 ms 19 hpr-lax-gsr1--abilene-LA-10ge.cenic.net (137.164.25.2) 145.881 ms 146.131 ms 146.770 ms 20 svl-hpr--lax-hpr-10ge.cenic.net (137.164.25.13) 153.514 ms 153.487 ms 153.521 ms 21 hpr-ucb-ge--svl-hpr.cenic.net (137.164.27.134) 196.734 ms 154.875 ms 154.764 ms 22 g3-17.inr-202-reccev.Berkeley.EDU (128.32.0.35) 154.639 ms 154.746 ms 154.643 ms 23 fast4-1-0.inr-667-eva.Berkeley.EDU (128.32.0.90) 154.893 ms 154.749 ms 154.896 ms 24 router3-fast1-0-0.ICSI.Berkeley.EDU (169.229.0.138) 155.133 ms 155.249 ms 154.884 ms 7 25 router1-vlan5.icsi.berkeley.edu (192.150.187.249) 155.397 ms 155.245 ms 156.017 ms Hosts, Routers, Interfaces, Subnets Host: at least one interface, sometimes multiple ones Host: runs applications Router: typically doesnt run applications Router: has multiple interfaces, routes packets among them Each interface has unique IP address (true both for hosts and routers) Subnet: typically a single Ethernet broadcast domain, shared by hosts and routers 8 Hosts, Routers, Interfaces, Subnets Interface (address A) Hos t Subnet 1 Interface (address B)

Route r Interface (address C) Subnet 2 Hos t Interface (address D) 9 Address Aggregation Each Internet host (interface) has unique 32-bit IP address Must every router in entire Internet know about every other router? No; interfaces on same subnet share address prefix e.g., 128.16.64.30, 128.16.64.92 on same subnet IP routing destination is subnets prefix; not single 32-bit IP address 10 Shortest-Path Routing View network as graph Routers are vertices, links are edges Link metrics are edge weights Shortest paths problem: What path between two vertices offers minimal sum of edge weights? Classic algorithms find single-source shortest paths when entire graph known centrally Dijkstras Algorithm, Bellman-Ford Algorithm In Internet, each router only knows its own interfaces addresses; no central knowledge of entire graph 11 Outline Routing Problem Definition Routing in Practice: traceroute Examples Definitions: Hosts, Routers, Interfaces, Subnets Shortest-Path Routing Routing Tables Distance Vector Algorithm Pathologies: Bouncing and Counting to Infinity Optimizations: Split Horizon and Poison Reverse War Story: Synchronization of Routing Messages 12 Routing Tables Destination field: subnet ID (address prefix) Interface field: which interface of router on which to forward to reach destination

Metric field: total cost to reach that destination Administrator assigns metrics to interfaces Startup: initialize table to contain one entry for each interfaces subnet Destinatio n Interface Metric A 0 0 13 Routing Tables: Forwarding Packet arrives for destination D Search for D in destination field of routing table if found, forward on interface number in table entry if not found, drop packet; no route known 14 Basic Distance Vector Algorithm (Failures Not Yet Considered) Distributed Bellman-Ford (DBF) Periodically, send all routing table entries (destination and metric fields) to all immediate neighbor routers Upon receipt of routing table entry for destination D with metric m on interface i: m += metric for interface i r = lookup(D) in routing table if (r = not found) then newr = new routing table entry newr.D = D; newr.m = m; newr.i = i add newr to table else if (m < r.m) then r.m = m; r.i = i 15 Distance Vector: Example Consider simple network where all nodes are routers, addresses are simply single letters Initial routing tables when routers first start: Dst I/f Metri c A Dst local Metri c 0 A A1 0 B Metri c local

0 1 I/f local 0 C 1 D D 0 2B I/f 0 0 1 Dst Dst Metri c 1 0E2 Dst I/f Metric E local 0 Dst I/f Metri c C local 0 0 16 Distance Vector: Iteration 1 Routers incorporate received announcements: Dst I/f Metri c A local 0 B 1

1 D 0 1 Dst I/f Metri c B local 0 A 0 1 C 2 1 E 1 1 0 2 A1 B 0 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0

A 0 1 D 0 1 E 1 1 B 1 1 C 2 1 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 17 Distance Vector: Iteration 2 Routers incorporate received announcements: Dst I/f Metri c E 0 2 C 1 2

Dst I/f Metri c Convergence: routing tables longer B local no 0 A local 0 A 0 1 changing; routes reflect up-to-date B 1 1 knowledge of topology CE 21 11 D 0 1 0 2 A1 B 0 D 1 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0 1

D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2 A 1 2 2 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 A 0 2 D 1 2

18 Link Failure (I) Dst I/f Metri c A local 0 B 1 1 D 0 1 E 0 2 C 1 2 ! A1 0 2 ! 0 B Dst I/f Metri c B local 0 A 0 1 C 2 1 E 1 1 D

1 2 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0 1 D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2

A 1 2 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 A 0 2 D 1 2 19 Link Failure (II) Dst I/f Metri c A local 0 B 1 Inf D 0 E C Dst I/f Metri c 1

B local 0 0 2 A 0 Inf 1 Inf C 2 1 E 1 1 D 1 2 Dst Metri c A 0 B Inf D 1 E 2 C Inf ! A1 0 2 ! 0 B 1 1 1 0 1 D 0E2

Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0 1 D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2 A 1 2 0 C Dst I/f Metri

c C local 0 B 0 1 E 1 1 A 0 2 D 1 2 20 DV Algorithm, Revised Upon receipt of routing table entry for destination D with metric m on interface i: m += metric for interface i r = lookup(D) in routing table if (r = not found) then newr = new routing table entry newr.D = D; newr.m = m; newr.i = i add newr to table else if (i == r.i) then r.m = m else if (m < r.m) then r.m = m; r.i = i 21 Link Failure (III) A1 0 0 1 D Dst Metri c Dst I/f Metri c Dst I/f Metri c A 1 D

local 0 D local 0 B Inf A 0 1 A 0 1 D 2 E 1 1 E 1 1 E 3 B 1 2 B 1 2 C Inf C 1 2 C 1 2 + (no change) 22 Link Failure (IV) Dst

I/f Metri c A local 0 B 1 Inf D 0 1 E 0 2 C 1 Inf Dst Metri c Dst I/f Metri c B 0 A Inf B local 0 C 1 A 0 Inf E 1 C 2 1 D

2 E 1 1 0 2 D 1 2 A1 B 0 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0 1 D 0 1 E 1 1 B 1 1

B 1 2 C 2 1 C 1 2 A 1 2 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 A 0 2 D 1 2 23 Link Failure (V) 0 2 B 1 1 0E2 Dst Metri c Dst I/f

Metri c Dst I/f Metri c B 1 E local 0 E local 0 A Inf D 0 1 D 0 1 C 2 B 1 1 B 1 1 E 2 C 2 1 C 2 1 D 3 A 1 2

A 1 Inf + 24 Link Failure (VI) Dst I/f Metri c Dst I/f Metri c A local 0 B local 0 E 0 2 E 1 1 C 1 Inf D 1 2 Next round: all routers Abroadcast their B 1 Inf 0 Inf tables D 0 to 1neighbors C 2 1 0 2 A1 B

0 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0 1 D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2 A 1

Inf 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 A 0 Inf D 1 2 25 Link Failure (VII) Dst I/f Metri c Dst I/f Metri c A local 0 B local 0 B 0 3 A 0 Inf

D 0 1 C 2 1 E 0 2 E 1 1 C 0 3 D 1 2 0 2 A1 B 0 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0

1 D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2 A 0 2 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 A 0 Inf D 1

2 26 Link Failure (VIII) Dst I/f Metri c Dst I/f Metri c A local 0 B local 0 B 0 3 A 1 3 D 0 1 C 2 1 E 0 2 E 1 1 C 0 3 D 1 2 0 2 A1 B

0 1 1 1 0 1 D 0E2 Dst I/f Metri c Dst I/f Metri c D local 0 E local 0 A 0 1 D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2 A

0 2 0 C Dst I/f Metri c C local 0 B 0 1 E 1 1 A 1 3 D 1 2 27 Outline Routing Problem Definition Routing in Practice: traceroute Examples Definitions: Hosts, Routers, Interfaces, Subnets Shortest-Path Routing Routing Tables Distance Vector Algorithm Pathologies: Bouncing and Counting to Infinity Optimizations: Split Horizon and Poison Reverse War Story: Synchronization of Routing Messages 28 Bouncing (I) Consider same network, where link (C, E) has metric 10; all others have metric 1 Consider all nodes routes to C after convergence Now suppose link (B, C) breaks Dst I/f Metri c C 1

2 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 1 1 0 1 0 2C 1 1 0E2 I/f Metri c 2 1 1 10 0 C 1 Dst I/f Metric C 1 2 Dst I/f Metri c C local 0 3

29 Bouncing (II) Suppose A advertises its table first Dst I/f Metri c C 1 2 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 Metri c 2 Inf 1 1 1 0 1 0 2C I/f 1 0E2 10 0 C 1 Dst I/f Metric C 1 2

Dst I/f Metri c C local 0 3 30 Bouncing (III) Suppose A advertises its table first and B advertises its table next Dst I/f Metri c C 1 2 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 Metri c 0 3 1 1 1 0 1 0 2C I/f 1 0E2 10 0

C 1 Dst I/f Metric C 1 2 Dst I/f Metri c C local 0 3 31 Bouncing (IV) Suppose A advertises its table first and B advertises its table next Loop between A and B for destination C! If C now advertises its table, E will ignore cost 10 route! Dst I/f Metri c C 1 4 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 Metri c

0 3 1 1 1 0 1 0 2C I/f 1 0E2 10 0 C 1 Dst I/f Metric C 1 4 Dst I/f Metri c C local 0 3 32 Bouncing (V) Suppose A and E advertise next Dst I/f Metri c C 1 4 A1 0 Dst 1 D Dst

C I/f 1 Metri c B 1 Metri c 0 5 1 1 1 0 1 0 2C I/f 1 0E2 10 0 C 1 Dst I/f Metric C 1 4 Dst I/f Metri c C local 0 5 33 Bouncing (VI) Suppose A and E advertise next and B advertises next Dst I/f Metri c C

1 6 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 Metri c 0 5 1 1 1 0 1 0 2C I/f 1 0E2 10 0 C 1 Dst I/f Metric C 1 6 Dst I/f Metri c C local 0 5

34 Bouncing (VII) Suppose A and E advertise next and B advertises next... And so on and A advertises next Dst I/f Metri c C 1 6 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 Metri c 0 7 1 1 1 0 1 0 2C I/f 1 0E2 10 0 C 1 Dst I/f Metric C 1

6 Dst I/f Metri c C local 0 5 35 Bouncing (VIII) Long, painful convergence process, details dependent on message ordering Transient loops Eventually, converged state: Dst I/f Metri c C 1 12 A1 0 Dst 1 D Dst C I/f 1 Metri c B 1 Metri c 1 11 1 1 1 0 1 0 2C I/f 1 0E2

10 1 0 C Dst I/f Metric C 2 10 Dst I/f Metri c C local 0 11 36 Outline Routing Problem Definition Routing in Practice: traceroute Examples Definitions: Hosts, Routers, Interfaces, Subnets Shortest-Path Routing Routing Tables Distance Vector Algorithm Pathologies: Bouncing and Counting to Infinity Optimizations: Split Horizon and Poison Reverse War Story: Synchronization of Routing Messages 37 Counting to Infinity (I) Converged after link (A, B) breaks Suppose (D, E) now breaks Dst I/f Metri c Dst I/f Metri c A local 0

B local 0 B 0 3 A 1 3 D 0 1 C 2 1 E 0 2 E 1 1 C 0 3 D 1 2 0 2 A1 B 0 1 1 1 0 1 D 1 1 0E2 1 1 Dst I/f

Metri c Dst I/f Metri c D local 0 E local 0 A 0 1 D 0 1 E 1 1 B 1 1 B 1 2 C 2 1 C 1 2 A 0 2 1 0 C Dst I/f Metri c

C local 0 B 0 1 E 1 1 A 1 3 D 1 2 38 Counting to Infinity (II) Dst I/f Metri c A local 0 B 0 3 D 0 1 E 0 2 C 0 3 Network partitioned Focus on {A, D} partition Suppose sequence of events: D notices link failure A advertises its routing table A1 Loop for {B, C, E} between A and D! How long will loop

persist? 0 1 0 1 D Dst Metri c Dst I/f Metri c Dst I/f Metri c A 1 D local 0 D local 0 B 4 A 0 1 A 0 1 D 2 E 1 Inf E 0 3 E 3 B 1

Inf B 0 4 C 4 C 1 Inf C 0 4 + 39 Counting to Infinity (III) A1 0 Dst I/f Metri c Dst I/f Metri c Dst I/f Metri c A local 0 A local 0 A local 0 B 0 5 B 0

7 B 0 Inf D 0 1 D 0 1 D 0 1 E 0 4 E 0 6 E 0 Inf C 0 5 C 0 7 C 0 Inf Dst I/f Metri c Dst I/f Metri c Dst I/f Metri c

D local 0 D local 0 D local 0 A 0 1 A 0 1 A 0 1 E 0 3 E 0 5 E 0 Inf B 0 4 B 0 6 B 0 Inf C 0 4 C 0

6 C 0 Inf 1 0 1 D Each advertisement increments metrics for partitioned destinations by one Loop persists until count reaches infinity! 40 Outline Routing Problem Definition Routing in Practice: traceroute Examples Definitions: Hosts, Routers, Interfaces, Subnets Shortest-Path Routing Routing Tables Distance Vector Algorithm Pathologies: Bouncing and Counting to Infinity Optimizations: Split Horizon and Poison Reverse War Story: Synchronization of Routing Messages 41 Split Horizon Bouncing and counting to infinity cause slow convergence, create loops Consider link (A, B), destination D As next hop toward D is B Split Horizon: clearly, B should never choose A as next hop toward D A should never announce to B a path with short distance to D! 42 Poison Reverse Again, consider link (A, B), destination D As next hop toward D is B More generally: routers should announce different routing tables to different neighbors Dont announce route for destination D on interface used as next hop toward D! Poison Reverse: A announces to B its distance to D is infinity! 43 Example: Split Horizon and Poison Reverse Dst I/f Metri c A local

0 B 0 3 D 0 1 E 0 2 C 0 3 Same example as counting to infinity: {A, D} partitioned D detects link break, A announces first No loop, immediate convergence after one advertisement! A1 0 1 0 1 D Dst Metri c Dst I/f Metri c Dst I/f Metri c A 1 D local 0 D local 0 B Inf

A 0 1 A 0 1 D Inf E 1 Inf E 1 Inf E Inf B 1 Inf B 1 Inf C Inf Inf C 1 Inf + C 1 44 Limitations: Split Horizon and Poison Reverse Consider same example, but {B, C, E} partition Link (A, B) already failed, routing has converged Now link (D, E) fails Consider only destination D 0 2 A1 B

0 1 1 1 0 1 D 1 Dst I/f Metri c D 1 2 1 1 0 1 1 Dst I/f Metri c D 0 1 0E2 C Dst I/f Metri c D 1 2 45 Limitations (II): Split Horizon and Poison Reverse E notices failed link, updates local table 0 2 B 1 1 Dst I/f

Metri c D 1 2 1 1 0 1 1 Dst I/f Metri c D 0 Inf 0E2 C Dst I/f Metri c D 1 2 46 Limitations (III): Split Horizon and Poison Reverse E advertises its new table Suppose advertisement reaches B, but not C 0 2 B 1 1 Dst I/f Metri c D 1 Inf 1 1 0 1

1 Dst I/f Metri c D 0 Inf 0E2 C Dst I/f Metri c D 1 2 47 Limitations (IV): Split Horizon and Poison Reverse C advertises its table, with split horizon and poison reverse Dst I/f Metri c D 1 Inf 1 1 0 2 B 1 1 0 1 1 Dst I/f Metri c D 0 Inf 0E2

+ C + Dst Metri c Dst I/f Metri c D 3 D 2 3 Dst I/f Metri c D 1 2 Dst Metri c Dst I/f Metri c D Inf D 0 Inf 48 Limitations (V): Split Horizon and Poison Reverse B advertises its routing table, with split horizon and poison reverse For destination D, loop {C E B C}! resolved only by counting to infinity Dst I/f Metri c D 2 3

1 1 0 2 B 1 1 0E2 1 1 0 Dst I/f Metri c D 0 Inf C + Dst I/f Metri c D 1 2 + Dst Metri c Dst I/f Metri c D Inf D 1 2 Dst Metri c Dst I/f

Metri c D 4 D 1 4 49 Outline Routing Problem Definition Routing in Practice: traceroute Examples Definitions: Hosts, Routers, Interfaces, Subnets Shortest-Path Routing Routing Tables Distance Vector Algorithm Pathologies: Bouncing and Counting to Infinity Optimizations: Split Horizon and Poison Reverse War Story: Synchronization of Routing Messages 50 Symptom: Periodic Severe Packet Loss 1992: Every 30 seconds, for several seconds on end, 50 to 85% of packets passing through group of Internet routers dropped! RIP, a distance vector routing protocol, sends updates every 30 seconds Could distance vector routing be the culprit? 51 Timers and DV Route Updates When a timer expires, router prepares update packets containing current table If update packets arrive from neighbor while preparing own update packets, process them before sending own update packets Send own update packets Reset timer interval [P r, P + r] P: desired update interval r: uniform random jitter component Note that timer not reset until after processing inbound messages: timing of one routers updates influenced by timing of other routers updates! 52 Emergent Behavior: Synchronization of Route Updates Initially, routers all send updates at random times Collision: update from B arrives at A while A is preparing its own update Timer not reset until A finishes sending update Result: longer period between updates by A So higher probability update arrives from some other router C before timer reset If triggered update arrives from some other router before timer expires, A immediately prepares and sends update,

without waiting for timer to expire Result: routers eventually all synchronize to send all updates at same time! 53 Avoiding Routing Update Synchronization Floyd and Jacobson: random jitter should be 50% of update interval to avoid synchronization in [P r, P + r] model, P = 30 r = 15 update interval random in [15, 45] seconds 54 Summary: Distance Vector Routing DV algorithm: periodically dump routing table contents to neighbors Convergence: after topology change, point when routing tables stop changing Pro: simple finds correct routes after topology changes Con: bouncing, counting to infinity cause loops slow to converge after some topology changes split horizon, poison reverse only partial solutions 55

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