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• W2288894220 startingPage "2872" @default.
• W2288894220 abstract "In this paper, we study a MAP/PH/1 queue with two classes of customers and discretionary priority. There are two stages of service for the low-priority customer. The server adopts the preemptive priority discipline at the first stage and adopts the nonpreemptive priority discipline at the second stage. Such a queueing system can be modelled into a quasi-birth-and-death (QBD) process. But there is no general solution for this QBD process since the generator matrix has a block structure with an infinite number of blocks and each block has infinite dimensions. We present an approach to derive the bound for the high-priority queue length. It guarantees that the probabilities of ignored states are within a given error bound, so that the system can be modelled into a QBD process where the block elements of the generator matrix have finite dimensions. Sojourn time distributions of both high and low priority customers are obtained." @default.
• W2288894220 created "2016-06-24" @default.
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• W2288894220 date "2015-12-06" @default.
• W2288894220 modified "2023-10-02" @default.
• W2288894220 title "Analysis of a MAP/PH/1 queue with discretionary priority" @default.
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• W2288894220 doi "https://doi.org/10.5555/2888619.2888949" @default.
• W2288894220 hasPublicationYear "2015" @default.
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