A geometric process model for M/M/1 queueing system with a repairable service station

A geometric process model for M/M/1 queueing system with a repairable service station

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Article ID: iaor20063677
Country: Netherlands
Volume: 168
Issue: 1
Start Page Number: 100
End Page Number: 121
Publication Date: Jan 2006
Journal: European Journal of Operational Research
Authors: , ,
Keywords: M/M/1 queues
Abstract:

In this paper, we study a geometric process model for M/M/1 queueing system with a repairable service station. By introducing a supplementary variable, some queueing characteristics of the system and reliability indices of the service station are derived. Then a replacement policy N for the service station by which the service station will be replaced following the Nth failure is applied. An optimal replacement policy N* for minimizing the long-run average cost per unit time for the service station is then determined.

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