A Diffusion Approximation for an M/G/m Queue with Group Arrivals

Toshikazu Kimura and Tadashi Ohsone
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Toshikazu Kimura: Tokyo Institute of Technology, Tokyo, Japan
Tadashi Ohsone: Tokyo Institute of Technology, Yokohama, Japan

Management Science, 1984, vol. 30, issue 3, 381-388

Abstract: This paper deals with the M/G/m queueing system with group arrivals. Using a diffusion approximation, we present approximate formulae for the steady-state distribution of the number of customers in the system. From this distribution, approximate formulae for some queueing characteristics such as the delay probability and the mean queue length are derived. In order to check the accuracy of the approximate formulae, they are numerically tested on some special cases.

Keywords: diffusion approximation; many server queue; group arrivals; queue length process; steady-state behavior (search for similar items in EconPapers)
Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:30:y:1984:i:3:p:381-388

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