Analysis of a GI/M/1 queue with multiple working vacations

Analysis of a GI/M/1 queue with multiple working vacations

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Article ID: iaor20052386
Country: Netherlands
Volume: 33
Issue: 2
Start Page Number: 201
End Page Number: 209
Publication Date: Mar 2005
Journal: Operations Research Letters
Authors:
Keywords: vacation models, GI/M/1 queues
Abstract:

Consider a GI/M/1 queue with vacations such that the server works with different rates rather than completely stops during a vacation period. We derive the steady-state distributions for the number of customers in the system both at arrival and arbitrary epochs, and for the sojourn time for an arbitrary customer.

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