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並列摘要


The stationary queue length distribution for the M/M/1 preemptive priority queue with two classes of customers is studied using the quasi-birth-and-death (QBD) process with infinitely many phases. For the QBD process, we obtain explicit form of the operator- geometric solution such that we can exactly compute its stationary distribution in principle.

參考文獻


Miller, D. R.(1981).Computation of steady-state probabilities for M/M/1 priority queues.Operations Research.29,945-958.
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Isotupa, K. P. S.,Stanford, D. A.(2002).An infinite-phase quasi-birth-and-death model for the non-preemptive priority M/PH/1 queue.Stochastic Models.18,387-424.

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