Busy period analysis for the GI/M/1 queue with exponential vacations

Busy period analysis for the GI/M/1 queue with exponential vacations

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Article ID: iaor20073144
Country: Netherlands
Volume: 35
Issue: 1
Start Page Number: 114
End Page Number: 118
Publication Date: Jan 2007
Journal: Operations Research Letters
Authors: ,
Keywords: GI/M/1 queues
Abstract:

We consider the busy period in the GI/M/1 queue with multiple exponential vacations. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.

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