Queueing system with passive servers

Queueing system with passive servers

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Article ID: iaor19962274
Country: United States
Volume: 9
Issue: 2
Start Page Number: 185
End Page Number: 204
Publication Date: Apr 1996
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: ,
Keywords: markov processes
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.

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