Dynamic flow control in two parallel queues with service interruptions

Dynamic flow control in two parallel queues with service interruptions

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Article ID: iaor20001867
Country: France
Volume: 33
Issue: 1
Start Page Number: 69
End Page Number: 86
Publication Date: Jan 1999
Journal: RAIRO Operations Research
Authors: ,
Keywords: programming: dynamic, markov processes
Abstract:

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

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