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Analysis of a Customer Assignment Model with No State Information

Published online by Cambridge University Press:  27 July 2009

A. Hordijk ,
G. M. Koole  and
J. A. Loeve
A. Hordijk
Affiliation:
University of LeidenNiels Bohrweg 1, 2333 CA Leiden, The Netherlands
G. M. Koole
Affiliation:
CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
J. A. Loeve
Affiliation:
University of Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands
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Abstract

In this paper we analyze a queueing network consisting of parallel queues and arriving customers that have to be assigned to one of the queues. The assignment rule may not depend on the numbers of customers in the queues. Our goal is to find a policy that is optimal with respect to the long-run average cost. We will consider two cases: holding costs and waiting times. A recently developed algorithm for Markov decision chains with partial state information is applied. It turns out that the periodic policies found by this algorithm are close, if not equal, to the optimal ones.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 3 , July 1994 , pp. 419 - 429
Copyright
Copyright © Cambridge University Press 1994

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