A Mean-Field Theory of Cellular Automata Model for Distributed Packet Networks

Details A Mean-Field Theory of Cellular Automata Model for Distributed Packet Networks A Mean-Field Theory of Cellular Automata Model for Distributed Packet Networks

2003-11-21

arxiv.org/abs/nlin/0311048v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

13 pages, 4 figures (with 8 sub-figures), uses subfigure.sty, revised from a submission to ICOIN'04

Scientific paper

A Mean-Field theory is presented and applied to a Cellular Automata model of distributed packet-switched networks. It is proved that, under a certain set of assumptions, the critical input traffic is inversely proportional to the free packet delay of the model. The applicability of Mean-Field theory in queue length estimation is also investigated. Results of theoretical derivations are compared with simulation samples to demonstrate the availability of the Mean-Field approach.

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