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A star-like circuit-switching network with multistage service

Published online by Cambridge University Press:  01 July 2016

Z. Khalil  and
G. Falin
Z. Khalil*
Affiliation:
Concordia University
G. Falin*
Affiliation:
Concordia University
*
∗Postal address for both authors: Department of Mathematics and Statistics, Concordia University, Montreal, Quebec, Canada H4B 1R6.
∗Postal address for both authors: Department of Mathematics and Statistics, Concordia University, Montreal, Quebec, Canada H4B 1R6.
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Abstract

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A star-like circuit-switching network with multistage service is considered. Likelihood ratio ordering is used to show that there exists an optimal threshold for the mean number of messages processed through the network as a function of the input traffic intensity.

Keywords

LIKELIHOOD RATIO ORDERINGOPTIMAL NETWORK PERFORMANCE

Information

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 4 , December 1990 , pp. 965 - 967
Copyright
Copyright © Applied Probability Trust 1990 

Footnotes

Research partially supported by Natural Science and Engineering Research Council of Canada grant #A9045.

References

1. Burman, D. Y., Lehoczky, J. P. and Lim, Y. (1984) Insensitivity of blocking probabilities in a circuit-switching network. J. Appl. Prob. 21, 850–859.Google Scholar
2. Hunt, P. and Kelly, F. P. (1989) On critically loaded loss networks. Adv. Appl. Prob. 21, 831–841.CrossRefGoogle Scholar
3. Ross, S. M. (1983) Stochastic Processes. Wiley, New York.Google Scholar