Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

In this paper we study a queueing model of type GI/M/m̃a/∞ with m parallel channels, sonic of which may suspend their service at specified random moments of time. Whether or not this phenomenon occurs depends on the queue length. The queueing process, which we target, turns out to be semi-regenerative, and we fully explore this utilizing semi-regenerative techniques. This is contrary to the more traditional supplementary variable approach and the less popular approach of combination semi-regenerative and supplementary variable technique. We pass to the limiting distribution of the continuous time parameter process through the embedded Markov chain for which we find the invariant probability measure. All formulas arc analytically tractable.

First Page

375

Last Page

395

DOI

10.1155/S1048953303000297

Publication Date

2003

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Mathematics Commons

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