A note on an M/GI/1/N queue with vacation time and exhaustive service discipline

Authors:
Andreas Frey;Yoshitaka Takahashi
Affiliations:
Department of Stochastics, University of Ulm, Helmholtztr. 18, 89069 Ulm, Germany;NTT Multimedia Networks Laboratories, 3-9-11 Midori-cho, Musashino-shi, Tokyo 180, Japan
Venue:
Operations Research Letters
Year:
1997

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Abstract

We consider an M/GI/1/N queue with vacation time and exhaustive service discipline, the same queue as in Lee [Oper. Res. 32 (1984) 774-784]. Focusing only on the service completion epochs (as opposed to both service completion epochs and vacation completion epochs by Lee), we present a simple analysis for the queue length distribution at an arbitrary time as well as for the waiting time distribution.