The threshold policy in the M/M/2 queue with server vacations

The threshold policy in the M/M/2 queue with server vacations

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Article ID: iaor19972167
Country: South Korea
Volume: 20
Issue: 2
Start Page Number: 1
End Page Number: 10
Publication Date: Aug 1995
Journal: Journal of the Korean ORMS Society
Authors:
Keywords: M/M/2 queues
Abstract:

In this study, a threshold policy is considered for the M/M/2 queueing system with server vacations. The probability generating function for the number of customers present in the system is derived using an embedded Markov chain approach. Then, assuming a linear cost structure an efficient procedure to find an optimal threshold policy is presented. The Laplace-Stieltjes transform for the waiting time of an arbitrary customer under a ‘FIFO’ discipline is also derived. [In Korean.]

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