The deviation matrix of the M/M/1/∞ and M/M/1/N queue, with applications to controlled queueing models

descriptionPublicationkeyboard_double_arrow_right Article 28 Nov 2002Publisher:IEEEJournal:Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), volume 1, pages 56-59

Authors: G. Koole;

doi: 10.1109/cdc.1998.760589

The deviation matrix of the M/M/1/∞ and M/M/1/N queue, with applications to controlled queueing models

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Abstract

We give closed expressions for the deviation matrices of the M/M/1//spl infin/ and the M/M/1/N queue. It is applied to controlled queueing models by solving the dynamic programming optimality equation for Bernoulli policies; after which we can execute a single step of policy iteration by calculating the bias vector of the Bernoulli policies directly from the deviation matrix.

Related Organizations

Vrije Universiteit Amsterdam
Netherlands
University of Amsterdam
Netherlands

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