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arXiv · 1806.05462

New Look at Finite Single Server Queue with Poisson Input and Semi-Markov Service Times

Krzysztof Rusek·Zdzisław Papir
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Abstract

The mathematics of the finite single server queue with Poisson input and semi-Markov service times($M/SM/1/b$) is similar to that used for $BMAP/G/1/b$ systems. This observation results in new analytical formulas for a queue size in the $M/SM/1/b$ system. Both stationary and the transient solutions are considered

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Krzysztof Rusek, Zdzisław Papir. 2018-06-14. New Look at Finite Single Server Queue with Poisson Input and Semi-Markov Service Times. https://arxiv.org/abs/1806.05462

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