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Queues with simultaneous loss on breakdown

David Thornley

Conference or Workshop Paper
Eighteenth Annual UK Performance Engineering Workshop, University of Glasgow (UKPEW 2002)
June, 2002

We take a queue with breakdowns and repairs of processors in which the queue length does not change on the corresponding Markov modulation transitions as given by Mitrani and Chakka, and introduce simultaneous losses on breakdown (and re-sampling on repair) using a range of methods, most interestingly including enriching the modulation structure to cause simultaneous loss or re-sampling, which gives distinct behaviour. We solve for the steady state of the queue using spectral expansion for convenient access to a range of performance measures.

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