On the Mx/G /1 queue with vacation time

Authors:
Yutaka Baba
Affiliations:
Department of Business Administration and Information Science, Chubu University, Kasugai, Aichi 487, Japan
Venue:
Operations Research Letters
Year:
1986

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Abstract

We consider an M^x/G/1 queueing system in which the server takes a vacation each time that the system, becomes empty. Using supplementary variables, we derive the general queue length distribution at an arbitrary time. We also obtain the waiting time and busy period distributions.