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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

Information

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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