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Zbl 1099.90013
Baba, Yutaka
Analysis of a $GI/M/1$ queue with multiple working vacations. (English)
[J] Oper. Res. Lett. 33, No. 2, 201-209 (2005). ISSN 0167-6377

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.
MSC 2000:
*90B22 Queues and service
60K25 Queueing theory

Keywords: $GI/M/1$ queue; Working vacation; Embedded Markov chain; Matrix-geometric approach

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