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Stochastic monotonicity properties of multiserver queues with impatient customers

Published online by Cambridge University Press:  14 July 2016

Partha P. Bhattacharya  and
Anthony Ephremides
Partha P. Bhattacharya
Affiliation:
University of Maryland, College Park
Anthony Ephremides*
Affiliation:
University of Maryland, College Park
*
∗∗ Postal address: Electrical Engineering Department and Systems Research Center, University of Maryland, College Park, MD 20742, USA.
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Abstract

We consider multiserver queues in which a customer is lost whenever its waiting time is larger than its (possibly random) deadline. For such systems, the number of (successful) departures and the number of customers lost over a time interval are the performance measures of interest. We show that these quantities are (stochastically) monotone functions of the arrival, service and deadline processes.

Keywords

STOCHASTIC ORDERTHROUGHPUT
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 3 , September 1991 , pp. 673 - 682
Copyright
Copyright © Applied Probability Trust 1991 

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Footnotes

∗

Present address: IBM Thomas J. Watson Research Center, P.O. Box 704, Yorktown Heights, NY 10598, USA.

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