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Stationary Queue Length Distribution for a Discrete-Time Preemptive Priority Queue

並列摘要


This paper considers a discrete-time Geo/Geo/1 preemptive priority queue with two classes of customers. The queue system can be modeled by a quasi-birth-and-death (QBD) process with infinitely many phases. For the QBD process, we obtain explicit form of the joint stationary distribution and then we also get the stationary queue length distribution for lower-priority customers.

參考文獻


Alfa, A. S.(1998).Matrix-geometric solution of discrete time analysis of MAP/PH/1 priority queue.Naval Research Logistics.45,23-50.
Alfa, A. S.(2002).Discrete time queues and matrix-analytic methods.TOP.10,147-210.
Alfa, A. S.,Liu, B.,He, Q. M.(2003).Discrete-time analysis of MAP/PH/1 multiclass general preemptive priority queue.Naval Research Logistics.50,662-682.
Alfa, A. S.(2010).Queueing Theory for Telecommunications, Discrete Time Modeling of a Single Node System.Springer.
Alfa, A. S.(2016).Applied Discrete-Time Queues.Springer.

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