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

Authors:
Yutaka Baba
Affiliations:
Department of Mathematics Education, Faculty of Education and Human Sciences, Yokohama National University, 79-2 Tokiwadai, Hodogaya, Yokohama 240-8501, Japan
Venue:
Operations Research Letters
Year:
2005

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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.