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A Diffusion Approximation for Bulk Queues

Singha Chiamsiri and Michael S. Leonard
Management Science
Vol. 27, No. 10 (Oct., 1981), pp. 1188-1199
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/2631086
Page Count: 12
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A Diffusion Approximation for Bulk Queues
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Abstract

In this paper the steady-state queue size behavior of single-server queues with bulk-arrival and batch-service, referred to as bulk queues, is approximated by a diffusion process using the instantaneous return approach. Diffusion approximation solutions for various queue size statistics are developed and evaluated for a number of special "Markovian-like" bulk queues. The approximate solutions are found to be robust for queues under heavy traffic, and in certain cases, under other traffic conditions.

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