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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
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(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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