Stochastic monotonicity properties of multiserver queues with impatient customers-Reference-Cited by-同舟云学术

Stochastic monotonicity properties of multiserver queues with impatient customers

Published:1991-09 Issue:3 Volume:28 Page:673-682
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Bhattacharya Partha P.,Ephremides Anthony

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference12 articles.

1. Optimal scheduling with strict deadlines

2. Comparing counting processes and queues

3. Comparing multi-server queues with finite waiting rooms, I: Same number of servers

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