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A note on the MX/GY/1, K bulk queueing system

Published online by Cambridge University Press:  14 July 2016

Tapan P. Bagchi  and
J. G. C. Templeton
Tapan P. Bagchi*
Affiliation:
Department of Industrial Engineering, University of Toronto
J. G. C. Templeton
Affiliation:
Department of Industrial Engineering, University of Toronto
*
*Now with Imperial Oil Ltd., Sarnia, Ontario, Canada.
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Abstract

Cohen (1969) has studied the transient and stationary queue length distributions for the M/G/1, K queue, with a fixed maximum number of customers, K, in the system at any time. The present note applies Cohen's method to generalize his results to the MX/GY/1, K queue.

Keywords

SINGLE SERVER BULK QUEUESFINITE WAITING SPACEBULK POISSON ARRIVALBULK GENERAL SERVICEIMBEDDED MARKOV CHAINQUEUE LENGTH PROCESSTRANSIENT AND STATIONARY SOLUTIONSINTEGRAL EQUATIONS OF QUEUEING THEORY
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 4 , December 1973 , pp. 901 - 906
Copyright
Copyright © Applied Probability Trust 1973 

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Footnotes

Research partially supported by the National Research Council of Canada, Grant no. A5639.

References

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