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A convexity result for single-server exponential loss systems with non-stationary arrivals

Published online by Cambridge University Press:  14 July 2016

Antony Svoronos  and
Linda Green
Antony Svoronos*
Affiliation:
Columbia University
Linda Green
Affiliation:
Columbia University
*
∗ Postal address: Graduate School of Business, Uris Hall, Columbia University, New York, NY 10027, USA.
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Abstract

We consider single-server loss systems with exponential service times and non-stationary Poisson input. We prove that if the arrival rate is given by a periodic function, the proportion of lost customers is convex increasing in the amplitude.

Keywords

PERIODIC ARRIVAL RATEAMPLITUDE OF ARRIVAL RATEROSS'S CONJECTURE
Type
Short Communications
Information
Journal of Applied Probability , Volume 25 , Issue 1 , March 1988 , pp. 224 - 227
Copyright
Copyright © Applied Probability Trust 1988 

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References

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