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Contrôle dynamique de flux dans un système d'attente avec panne

Published online by Cambridge University Press:  15 August 2002

A. Haqiq  and
N. Mikou
A. Haqiq
Affiliation:
Faculté des Sciences et techniques, Département de Mathématiques et Informatique, Route de Casablanca, BP 577, Settat, Maroc, Tél. 03 40 07 36, Fax 03 40 09 69
N. Mikou
Affiliation:
Faculté des sciences, Département de Mathématiques et Informatique, avenue Ibn Batouta, BP 1014, Rabat, Maroc, Tél.07 77 54 71 Fax 07 77 54 71
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Abstract

We consider two parallel M/M/1 queues. The server at one of the queuesis subject to intermittent breakdowns. By the theory of dynamic programming, we determine a threshold optimal policy which consists to transfer, when it is necessary, the customers that arrive at the first queue towards the second queue in order to minimize an instantaneous costdepending of the two queue lengths.

Keywords

Queuing SystemDynamic ProgrammingMarkov Decision ProcessesOptimal Policy.
Type
Research Article
Information
RAIRO - Operations Research , Volume 33 , Issue 1 , January 1999 , pp. 69 - 86
Copyright
© EDP Sciences, 1999

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