A Diffusion Approximation for anM/G/mQueue with Group Arrivals
Toshikazu Kimura, Tadashi Ohsone
Management Science · 1984 · Volume 30 · Issue 3
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
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