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The Power-Series Algorithm for Polling Systems with Time Limits

Published online by Cambridge University Press:  27 July 2009

J. P. C. Blanc
J. P. C. Blanc
Affiliation:
Tilburg University, Center for Economic Research, P.O. Box 90153, 5000 LE Tilburg, The Netherlands
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Abstract

This paper deals with evaluation and optimization of polling systems with time limits. Performance measures are evaluated with the power-series algorithm, a flexible technique for computing performance measures for multiqueue systems. The constant time limits are approximated by Erlang distributed variables. The algorithm is extended to compute derivatives of performance measures. This allows for optimization of cost functions with respect to the mean values of the time limits by gradient methods. Several properties of the optimal time limits are revealed by the numerical solution of various optimization problems.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 12 , Issue 2 , April 1998 , pp. 221 - 237
Copyright
Copyright © Cambridge University Press 1998

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