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Analysis of a \(GI/M/1\) queue with multiple working vacations. (English) Zbl 1099.90013
Summary: 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.

90B22 Queues and service in operations research
60K25 Queueing theory (aspects of probability theory)
Full Text: DOI
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