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Optimal service rates in the multiserver loss system with heterogeneous servers

Published online by Cambridge University Press:  14 July 2016

G. B. Nath  and
E. G. Enns
G. B. Nath*
Affiliation:
Gippsland Institute
E. G. Enns*
Affiliation:
University of Calgary
*
∗Postal address: Computing and Operations Research, Gippsland Institute of Advanced Education, Switchback Road, Churchill, Victoria 3842, Australia.
∗∗Postal address: Division of Statistics, The University of Calgary, 2940 24th Avenue N.W., Calgary, Canada T2N 1N4.
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Abstract

A multichannel loss system with heterogeneous servers operating in parallel is analyzed. The sum of the service rates of all servers is assumed constant. The optimal service rates that minimize the probability of losing a customer are obtained, and are shown to be different from each other. The percentage reduction in the probability of losing a customer in the homogeneous and the best heterogeneous system for a few representative values are included.

Keywords

HETEROGENEOUS SERVERSLOSS SYSTEMMULTICHANNEL SYSTEMOPTIMAL SERVICE RATESOVERFLOW DISTRIBUTION
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 3 , September 1981 , pp. 776 - 781
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Presented at the 41st session of the International Statistical Institute, New Delhi, India.

References

Riordan, J. (1962) Stochastic Service Systems. Wiley, New York.Google Scholar
Seth, K. (1977) Optimal service policies, just after idle periods, in two-server heterogeneous queueing systems. Operat. Res. 25, 356–360.Google Scholar
Singh, V. P. (1970) Two-server Markovian queues with balking: heterogeneous vs homogeneous servers. Operat. Res. 18, 145–159.CrossRefGoogle Scholar
Takács, L. (1959) On the limiting distribution of the number of the coincidences concerning telephone traffic. Ann. Math. Statist. 30, 134–141.Google Scholar