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Applying the method of phases in the optimization of queuing systems

Published online by Cambridge University Press:  01 July 2016

Hans-Joachim Langen
Hans-Joachim Langen*
Affiliation:
Universität Bonn
*
∗Present address: Graf-Haeseler-Str. 11, 4600 Dortmund 1, W. Germany
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Abstract

A new device in the optimization of queuing systems is introduced by using the method of phases. Non-exponential queues under control are considered with respect to the expected discounted reward criterion. For models with hyper-Erlang distributions equivalent phase-type systems are established. Approximation results for Markov decision models allow the extension to the case of general distribution functions. The approach is demonstrated by finding the form of an optimal policy for the GI/M/c queue with customer admission and batch arrival as well as for the GI/M/1 queue with interarrival time control.

Keywords

MARKOV DECISION MODELGI/M/c QUEUEMETHOD OF PHASES
Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 1 , March 1982 , pp. 122 - 142
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

This work was supported by the SFB 72 of the Deutsche Forschungsgemeinschaft.

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