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Queues Solvable without Rouché's Theorem

Marcel F. Neuts
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Marcel F. Neuts: University of Delaware, Newark, Delaware

Operations Research, 1979, vol. 27, issue 4, 767-781

Abstract: We give a novel analysis of the steady-state probabilities of a class of infinite Markov chains. Markov chains of this type appear in the study of bulk queues and a variety of other stochastic models. We present algorithms that involve only real arithmetic and avoid the traditional analysis based on Rouché's theorem.

Date: 1979
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