The M/M/c queue with PH synchronous vacations

The M/M/c queue with PH synchronous vacations

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Article ID: iaor20014222
Country: China
Volume: 13
Issue: 1
Start Page Number: 7
End Page Number: 16
Publication Date: Jan 2000
Journal: Journal of Systems Science and Complexity
Authors:
Keywords: M/M/c queues, vacation models
Abstract:

In this paper, we give a detailed analysis of the M/M/c queue with Phase Type synchronous vacations. Two models are considered. Firstly, the vacation strategy is a multiple synchronous vacation. Secondly, only a single vacation is taken each time. For model 1, we give the distributions of the stable queue length and the waiting time. Finally, it is shown that model 2 may be analyzed similarly to model 1.

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