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Performance Evaluation of Networks, part II

Performance Evaluation of Networks, part II. Giovanni Neglia. G. Neglia. 10 December 2012. Network Science. 1. Common properties to many existing networks Social nets, transportation nets, electrical power grids , Internet AS net, P2P nets, gene regulatory net,

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Performance Evaluation of Networks, part II

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  1. Performance Evaluation of Networks, part II Giovanni Neglia G. Neglia 10 December 2012

  2. Network Science • 1.Common properties to manyexisting networks • Social nets, transportation nets, electrical power grids, Internet AS net, P2P nets, generegulatory net, • 2.Important dynamicprocesses on these networks show the sameproperties

  3. Our course: an introduction to Network Science • 1.Common properties to manyexisting networks • Whichones? Hubs, small world, cluster, heavytails • Why do they arise? • 2.Important dynamicprocesses • Contagion • Consensus • Games

  4. Material Slides A book coveringcomplex networks and gametheory: Network, Crowds, and Markets, Easley and Kleinberg, available online at http://www.cs.cornell.edu/home/kleinber/networks-book/ ReferencesContagion Mean Field Mean Field Methods for Computer and Communication Systems: A Tutorial, Jean-Yves Le Boudec A class of meanfield interaction models for computer and communication systems, Benaïm, Le Boudec, JrnlPerformance Evaluation, Vol. 65 Issue 11-12, Nov., ‘08

  5. Material References Contagion A surveywith pointers to continuous time Markov processes and links to stochastic approximation and propagation of chaos Ch. 2 of Nicolas Gast’sPhDthesis “Optimization and Control of Large Systems, Fighting the Curse of Dimensionality” DynamicalProcesses on Complex Networks, Barrat, Barthélemy, Vespignani, Cambridge Press Randomgraphs models, ch.3 Methodologicalapproaches, ch. 4 Epidemiologicalmodels, ch. 9

  6. Material ReferencesContagion Routing in DTNs Markovianmodels Message Delay in Mobile Ad Hoc Networks, R. Groenevelt, G. Koole, and P. Nain, Performance, Juan-les-Pins, October2005 Impact of Mobility on the Performance of Relaying in Ad Hoc Networks, A. Al-Hanbali, A.A. Kherani, R. Groenevelt, P. Nain, and E. Altman, IEEE Infocom 2006, Barcelona, April 2006 Fluidmodels Performance Modeling of EpidemicRouting, X. Zhang, G. Neglia, J. Kurose, D. Towsley, Elsevier Computer Networks, Volume 51, Issue 10, July 2007, Pages 2867-2891

  7. Material ReferencesGames Game Theory and Strategy, Straffin, Mathematical Association, Two-person zero-sum games Matrix games Pure strategy equilibria (dominance and saddle points), ch2 Mixed strategy equilibria, ch3 Game trees, ch7 About utility, ch 9

  8. Material ReferencesGames Game Theory and Strategy, Straffin, Mathematical Association, Two-person non-zero-sum games Nash equilibria and its limits (equivalence, interchangeability, Prisoner’s dilemma), ch. 11 and 12 Strategic games, ch.14 Evolutionary games, ch. 15

  9. Evaluation 80% final exam 20% assignments (everytwoweeks)

  10. Contacts giovanni.neglia@inria.fr INRIA, Lagrange building, last floor, L108 For slides, assignements, etc. www-sop.inria.fr/members/Giovanni.Neglia/perf12/

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