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On the serial correlation for number in system in the stationary GI/M/1 bulk arrival and GI/Em/1 queues

Published online by Cambridge University Press:  14 July 2016

D. A. Stanford*
Affiliation:
University of Western Ontario
B. Pagurek*
Affiliation:
Carleton University
*
Postal address: Department of Statistical and Actuarial Sciences, The University of Western Ontario, London, Canada N6A 5B9.
∗∗Postal address: Department of Systems and Computer Engineering, Carleton University, Ottawa, Canada.

Abstract

The generating functions for the serial covariances for number in system in the stationary GI/M/1 bulk arrival queue with fixed bulk sizes, and the GI/Em/1 queue, are derived. Expressions for the infinite sum of the serial correlation coefficients are also presented, as well as the first serial correlation coefficient in the case of the bulk arrival queue. Several numerical examples are considered.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1992 

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