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Bicriterion Optimization of an M/G/1 Queue with A Removable Server

Published online by Cambridge University Press:  27 July 2009

Eugene A. Feinberg  and
Dong J. Kim
Eugene A. Feinberg
Affiliation:
W. A. Harriman School for Management and Policy, SUNY at Stony Brook, Stony Brook, New York 11794-3775
Dong J. Kim
Affiliation:
Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, New York 11794-3600
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Abstract

This paper studies bicriterion optimization of an M/G/1 queue with a server that can be switched on and off. One criterion is an average number of customers in the system, and another criterion is an average operating cost per unit time. Operating costs consist of switching and running costs. We describe the structure of Pareto optimal policies for a bicriterion problem and solve problems of optimization of one of these criteria under a constraint for another one.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 10 , Issue 1 , January 1996 , pp. 57 - 73
Copyright
Copyright © Cambridge University Press 1996

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