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The transient state probabilities for a queueing model where potential customers are discouraged by queue length

Published online by Cambridge University Press:  14 July 2016

Erik A. Van Doorn
Erik A. Van Doorn*
Affiliation:
Twente University of Technology
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Abstract

Exact expressions are derived for the transition probabilities of the birth-death process with parameters and which serves as a queueing model where potential customers are discouraged by queue length.

Keywords

BIRTH-DEATH PROCESSBIRTH–DEATH QUEUEING MODELEXPONENTIAL ERGODICITYSPECTRAL REPRESENTATIONSTOCHASTIC MONOTONICITYTRANSITION PROBABILITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 499 - 506
Copyright
Copyright © Applied Probability Trust 

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Footnotes

∗

Present address: Netherlands Postal and Telecommunications Services, Dr. Neher-Laboratories, P.O. Box 421, 2260 AK Leidschendam, The Netherlands.

References

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