The busy Period for the M/M/1 machine interference model

Authors: D. D. Bunday ^a; W. K. El-Badri ^a

Affiliation:

^a School of Mathematical Science, University of Bradford, England

DOI: 10.1080/07362998508809050

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 3, Issue 1 1985 , pages 1 - 13

Subjects: Statistics & Probability; Stochastic Models & Processes;

Formats available: PDF (English)

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Abstract

For the machine interference problem, numerical and Laplace transform solutions for the transient probabilities and duration of the operative's busy period are derived. Generating functions for the number of repairs completed in a busy period are obtained and explicit functions for the mean and variance of this distribution are calculated. In addition the distribution of the minimum number of machines running during a busy period is derived in explicit form

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The busy Period for the M/M/1 machine interference model

Abstract