Operations Research Transactions
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ZHANG Hongbo1,* ZHOU Gaojun1 FENG Pinghua1
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This paper considers an M/M/1 queue that handles arrivals form 2 classes of customers on a preemptive priority basis, where the lower-priority customers with finite buffering. The queue model can be described in a quasi-birth-and-death (QBD) process with finitely many phases. By matrix-geometric method, we get the formula of stationary queue length distribution, and illustrate the effectiveness of the method by numerical examples.
Key words: preemptive priority queue, finite capacity, QBD process, matrix-geometric method, stationary queue length
ZHANG Hongbo, ZHOU Gaojun, FENG Pinghua. Analysis for a preemptive priority queue with finite capacity[J]. Operations Research Transactions, doi: 10.15960/j.cnki.issn.1007-6093.2016.03.002.
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URL: https://www.ort.shu.edu.cn/EN/10.15960/j.cnki.issn.1007-6093.2016.03.002
https://www.ort.shu.edu.cn/EN/Y2016/V20/I3/11
