Queueing system with passive servers-Reference-Cited by-同舟云学术

Queueing system with passive servers

Published:1996-01-01 Issue:2 Volume:9 Page:185-204
ISSN:1048-9533
Container-title:Journal of Applied Mathematics and Stochastic Analysis
language:en
Short-container-title:Journal of Applied Mathematics and Stochastic Analysis

Author:

Dudin Alexander N.¹,Klimenok Valentina I.¹

Affiliation:

1. Byelorussian State University, Department of Applied Mathematics, Minsk, Belarus

Abstract

In this paper the authors introduce systems in which customers are served by one active server and a group of passive servers. The calculation of response time for such systems is rendered by analyzing a special kind of queueing system in a synchronized random environment. For an embedded Markov chain, sufficient conditions for the existence of a stationary distribution are proved. A formula for the corresponding vector generating function is obtained. It is a matrix analog of the Pollaczek-Khinchin formula and is simultaneously a matrix functional equation. A method for solving this equation is proposed.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Link

http://downloads.hindawi.com/archive/1996/417476.pdf

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