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On the busy period distribution of the M/G/2 queueing system

Published online by Cambridge University Press:  14 July 2016

Douglas P. Wiens
Douglas P. Wiens*
Affiliation:
University of Alberta
*
∗ Postal address: Department of Statistics and Applied Probability, University of Alberta, Edmonton, Canada T6G 2G1.
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Abstract

Equations are derived for the distribution of the busy period of the GI/G/2 queue. The equations are analyzed for the M/G/2 queue, assuming that the service times have a density which is an arbitrary linear combination, with respect to both the number of stages and the rate parameter, of Erlang densities. The coefficients may be negative. Special cases and examples are studied.

Keywords

GI/G/2 QUEUELAPLACE TRANSFORMSMIXTURES OF ERLANG DENSITIES
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 4 , December 1989 , pp. 858 - 865
Copyright
Copyright © Applied Probability Trust 1989 

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Footnotes

Research supported by the Natural Sciences and Engineering Research Council of Canada.

References

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