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- Title
A DIFFUSION APPROXIMATION FOR BULK QUEUES.
- Authors
Chiamsiri, Singha; Leonard, Michael S.
- 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. 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.
- Subjects
BULK queues; APPROXIMATION theory; QUEUING theory; MARKOV processes; DIFFUSION processes; MATHEMATICAL models of industrial management; TRAFFIC congestion; MATHEMATICAL models in business; DISTRIBUTION (Probability theory); BUSINESS mathematics; MANAGEMENT science; PROBLEM solving
- Publication
Management Science, 1981, Vol 27, Issue 10, p1188
- ISSN
0025-1909
- Publication type
Article
- DOI
10.1287/mnsc.27.10.1188