Stochastic Systems

Approximation of initial loading of infinite-server systems

S. V. Anulova

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: For the isolated multi-server system with nonzero initial conditions, obtained were approximations which mark the first step toward solution of the problem of approximation for the networks with common initial conditions where at the initial instant the multi-server system is filled with customers whose empirical age distribution is approximated by a well-known distribution. A fundamentally new approach to the networks of multi-server systems was proposed: for closer approximation to practice, not only the initial conditions, but also the current state must be described in terms of measures.

PACS: 02.50.Ey, 02.50.Fz

Presented by the member of Editorial Board: A. V. Nazin

Received: 04.10.2007

 English version: Automation and Remote Control, 2008, 69:7, 1154–1161

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