The finite capacity GI/M/1 queue with server vacations

The finite capacity GI/M/1 queue with server vacations

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Article ID: iaor1997752
Country: United Kingdom
Volume: 47
Issue: 6
Start Page Number: 817
End Page Number: 828
Publication Date: Jun 1996
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: GI/G/1 queues
Abstract:

This paper considers the GI/M/1/K queue where the server takes exponentially distributed vacations when there are no customers left to serve in the queue. It obtains the queue length distribution at arrival epochs and random epochs for the multiple vacation case. It presents heuristic algorithms to compute the blocking probability for this system. Several numerical examples are presented to analyze the behaviour of the blocking probability and to test the performance of the heuristics.

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