Mathematics

Report summarizes discrete and continuous dynamical systems study findings from M. Lelarge and co-researchers

  2008 NOV 24 - (VerticalNews.com) -- "In the context of communication networks, the framework of stochastic event graphs allows a modeling of control mechanisms induced by the communication protocol and an analysis of its performances. We concentrate on the logarithmic tail asymptotics of the stationary response time for a class of networks that admit a representation as (max,plus)-linear systems in a random medium," scientists writing in the journal Discrete Event Dynamic Systems - Theory and Applications report.

  "We are able to derive analytic results when the distribution of the holding times are light-tailed. We show that the lack of independence may lead in dimension bigger than one to non-trivial effects in the asymptotics of the sojourn time," wrote M. Lelarge and colleagues.

  The researchers concluded: "We also study in detail a simple queueing network with multipath routing."

  Lelarge and colleagues published their study in Discrete Event Dynamic Systems - Theory and Applications (Tail asymptotics for discrete event systems. Discrete Event Dynamic Systems - Theory and Applications, 2008;18(4):563-584).

  Additional information can be obtained by contacting M. Lelarge, ENS INRIA, 45 Rue Ulm, F-75005 Paris, France.

  The publisher of the journal Discrete Event Dynamic Systems - Theory and Applications can be contacted at: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands.

  Keywords: Communication Network, NetworksDiscrete and Continuous Dynamical Systems.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.