A Diffusion Approximation for Bulk Queues

Singha Chiamsiri and Michael S. Leonard
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Singha Chiamsiri: Khon Kaen University, Thailand
Michael S. Leonard: University of Missouri-Columbia

Management Science, 1981, vol. 27, issue 10, 1188-1199

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.

Keywords: bulk queues; diffusion approximations (search for similar items in EconPapers)
Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:27:y:1981:i:10:p:1188-1199

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