The effect of increasing service rates in a closed queueing network

Author:

Shanthikumar J. George,Yao David D.

Abstract

In this paper we study the equilibrium behavior of the queue lengths in a product-form closed queueing network when the service rates at a subset of stations (nodes) are increased. Univariate and multivariate likelihood ratio orderings as well as multivariate stochastic ordering of the queue lengths are established to indicate the effect of increasing the service rates. Relations among these orderings are also developed.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference10 articles.

1. Classes of orderings of measures and related correlation inequalities. I. Multivariate total positivity;Karlin;J. Multivariate Anal.,1980

2. Polya Type Distributions of Convolutions

3. Bounds on the Wait in aGI/M/kQueue

4. Open and Closed Models for Networks of Queues

5. Increasing Properties of Polya Frequency Function

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