Two queues in tandem with retrial customers

Two queues in tandem with retrial customers

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Article ID: iaor20023520
Country: United States
Volume: 15
Issue: 3
Start Page Number: 311
End Page Number: 325
Publication Date: Jan 2001
Journal: Probability in the Engineering and Informational Sciences
Authors: ,
Keywords: retrial queues, tandem queues
Abstract:

We consider two single-server queues in tandem. The customers receive service at the first station and then they proceed to the second. There are no intermediate waiting positions and, so, the blocking phenomenon is observed. The arriving customers who find the first station unavailable (busy or blocked) behave like retrial customers. We consider the case of ‘constant retrial policy’. For such a system, we obtain the system state probabilities in steady state in terms of generating functions. We present also some interesting measures of the system performance and directly deduce results for the corresponding ordinary (without retrials) model. We consider, finally, the special case of exponential service times as an example.

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