Document Type

Article

Publication Date

3-1-2003

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

We consider a finite capacity queue in which arrivals occur according to a batch Markovian arrival process (BMAP). The customers are served in groups of varying sizes. The services are governed by a controlled semi-Markovian process according to a multithreshold strategy. We perform the steady-state analysis of this model by computing (a) the queue length distributions at departure and arbitrary epochs, (b) the Laplace-Stieltjes transform of the sojourn time distribution of an admitted customer, and (c) some selected system performance measures. An optimization problem of interest is presented and some numerical examples are illustrated.

Volume

16

Issue

4

First Page

327

Last Page

347

DOI

10.1155/S1048953303000261

ISSN

1048-9533

Rights

© 2003 North Atlantic Science Publishing Company. Posted with permission.

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