A discrete model of a large polling system

A. A. Sergeev

M. V. Lomonosov Moscow State University

Abstract: For a network with Poisson incoming flow of customers (particles) and unit time of the motion of servers (annihilators), we obtain the limit distribution of the number of customers at the node for a fixed general number of nodes.

UDC: 519.2

Received: 24.03.2005
Revised: 15.08.2005

DOI: 10.4213/mzm2729

 English version: Mathematical Notes, 2006, 79:4, 551–554

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