Transient Diffusion Approximation for M/G/m system

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We investigate a transient diffusion approximation by diffusion process with elementary return boundary for the number of customers in the M/G/m system. We formulate and solve the forward diffusion equation with variable coefficient, whose solution is a transient approximation to queue size distribution. Numerical examples show that these diffusion approximation results are quite accurate for all traffic cases. It is shown that stationary approximation by Kimura is obtained from our transient diffusion approximation.
Publisher
Elsevier Sci Ltd
Issue Date
1991
Language
English
Article Type
Article
Keywords

LAPLACE TRANSFORMS; QUEUING SYSTEMS

Citation

JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, v.34, no.3, pp.306 - 328

ISSN
0453-4514
URI
http://hdl.handle.net/10203/59195
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