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arXiv · 0902.2086

M/M/1 Queueing System with Non-preemptive Priority

Zhao Guo-xi·Hu Qi-Zhou
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Abstract

The performance of non-preemptive M/M/1 queueing system with two priority is analyzed. By using complementary variable method to make vector Markov process and analyzing the state-change equations of the queueing system, the generating function of two kinds of customers'length distribution are derived under non-preemptive priority .Through further discussion, the probability of the server that it is working or free and average length of two kinds of customers are also derived.

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Zhao Guo-xi, Hu Qi-Zhou. 2009-02-12. M/M/1 Queueing System with Non-preemptive Priority. https://arxiv.org/abs/0902.2086

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