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Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 1 Interacting.

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Presentation on theme: "Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 1 Interacting."— Presentation transcript:

1 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 1 Interacting Network Elements: Chaos and Congestion Propagation Gábor Vattay Department of Physics of Complex Systems[1][1] Eötvös University, Budapest, Hungary and Ericsson Telecommunication Hungary

2 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 2 Outline The more complex word of ad-hoc, mobile networks and p2p applications Complex system approach Pattern formation in traffic, congestion propagation Chaotic and non-linear dynamics

3 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 3 The new more complex word … P2P traffic vs. web traffic  hosts are more equal, core/access distinction is not that important Mobile, ad-hoc: bandwidth is fully utilized Strong interaction

4 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 4 Complexity and non-linear research Complexity research deals with large number of strongly interacting systems, (IST-FET-Complexity) Chaos, fractals/scaling pattern formation, granular and vehicular traffic…

5 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 5 Congestion propagation

6 Fukuda &Takayasu 1999 Router-to-router congestion propagation

7 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 7 A congestion propagation model Vattay, Steger, Vaderna 2003

8 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 8 Simulation results: 10 queues, 10 TCP

9 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 9 50 queues, 1 TCP/queue deffect propagation

10 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 10 10 queues, 5 TCP/queue, web traffic

11 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 11 1TCP/que with initial delay t_d t_d [ms]timespan 0-4000 sec 0 0.01 0.1 0.2 0.3 0.4 0.5 0.6

12 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 12 Measuring the speed of propagation: center of mass velocity

13 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 13 td[ms] Site/sec 0-0.154421.1-0.140778.2-0.141784.3-0.120683.4-0.059653.5-0.103517.6-0.032555

14 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 14 What causes congestion propagation? 1 TCP/queue (ns2) Our fluid model using Baccelli-Hong (2002)

15 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 15 Only one assumption is needed: packet loss is more likely for a joining TCP flow at the router

16 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 16 Chaos

17 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 17 Simplest network model

18 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 18 Periodicity Veres & Boda INFOCOM 2000

19 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 19 Chaos Veres & Boda INFOCOM 2000

20 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 20 Ljapunov properties Veres & Boda INFOCOM 2000

21 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 21 Veres & Boda INFOCOM 2000

22 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 22 3 TCPs with different round trip times Vattay, Marodi, Steger 2002

23 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 23 Congestion window evolution

24 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 24 Poincarè surface of section Symbols: 1,2,3

25 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 25 Fractal dimension of the attractor

26 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 26 Symbol sequence probability

27 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 27 Topological entropy

28 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 28 Basin of attraction

29 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 29 2 TCPs surface of section

30 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 30 Topological entropy

31 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 31 Interaction of flows

32 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 32 Interacting traffic flows Traffic flows crossing the same bottleneck can inherit scaling properties from each other

33 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 33 Kenesi, Molnár, Veres, Vattay SIGCOMM 2000

34 Vattay Ne X tworking’03 June 23-25,2003, Chania, Crete, Greece The First COST-IST(EU)-NSF(USA) Workshop on EXCHANGES & TRENDS IN N ETWORKING 34 Mode locking structure of adaptation Buchta & Vattay 2003 TCP Background (UDP) Bandwidth C

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