This article is cited in 8 papers

Large Systems

Limit Dynamics for Stochastic Models of Data Exchange in Parallel Computation Networks

A. G. Malyshkin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We study limit dynamics of a system of interacting particles, which is one of possible models for the parallel and distributed computation process. For a rather wide class of multi-particle interactions, we prove that the stochastic process describing the configuration of a particle system weakly converges in the fluid-dynamic limit to a deterministic process, which is a solution of a certain partial differential equation.

UDC: 621.391.1:004.7

Received: 20.12.2005
Revised: 18.04.2006

 English version: Problems of Information Transmission, 2006, 42:3, 234–250

Bibliographic databases:

• 
• 
• 
•