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題名：Explicit Solution for M/M/1 Preemptive Priority Queue
書刊名：International Journal of Information and Management Sciences
作者：Zhang, Hongbo／Shi, Dinghua
出版日期：2010
卷期：21:2
頁次：頁197-208
主題關鍵詞：Preemptive priority queue；QBD process；Rate operator；Operator-geometric solution
原始連結：連回原系統網址new window
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  • 共同引用共同引用:2
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Abstract 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.
期刊論文
1.Zhang, Hongbo、Shi, Dinghua(200912)。The M/M/1 qaueue with Bernoulli-schedule-controlled vacation and vacation interruption。International Journal of Information and Management Sciences，20:4，579-587。new window  new window
2.Doshi, Bharat T.(1986)。Queueing systems with vacations: A survey。Queueing Systems，1(1)，29-66。  new window
3.Miller, D. R. ,(1981)。Computation of steady-state probabilities for M/M/1 priority queues。Operations Research，29，945-958。  new window
4.Gail, H. R., Hantler, S. L. and Taylor, B. A.,(1988)。Analysis of a non-preemptive priority multiserver queue。Adv. Appl. Probab.，20，852-879。  new window
5.Kao, E. P. C. and Narayanan, K. S.,(1990)。Computing steady-state probabilities of a non-preemptive priority multiserve queue。ORSA J. Comput.，2，211-218。  new window
6.Isotupa, K. P. S. and 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。  new window
7.Alfa, A. S., Liu, B. and He, Q. M.,(2003)。Discrete-time analysis of MAP/PH/1 multiclass general preemp-tive priority queue。Naval Research Logistics，50，23-50。  new window
8.Zhao, J. A., Li, B., Cao, X. R. and Ahmad, I.,(2006)。A matrix-analytic solution for the DBMAP/PH/1priority queue。Queueing Syst.，53，127-145。  new window
9.Tian, N. S. and Zhao, X. Q.,(2008)。The M/M/1 queue with single working vacation。International Journal of Information and Management Sciences，19，621-634。  new window
10.Tian, N. S. Li, J. H. and Zhang, Z. G.,(2009)。Matrix analytic method and working vacation queues-asurvey。International Journal of Information and Management Sciences，20，579-587。  new window
圖書
1.Neuts, M. F.(1981)。Matrix-geometric solutions in stochastic models: an algorithmic approach。The Johns Hopkins University Press。  new window
2.Gross, D.(1974)。Fundamentals of queueing theory。John Wiley & Sons, Inc.。  new window
3.Fayolle, G., Isanogorodski, R. and Malyshev,V.(1999)。Random walks in the quarter-plane。New York。  new window
4.Rosen, K. H., Michaels, J. G., Gross, J. L., Grossman, J. W.,and Shier, D. R,(1999)。Handbook of discreteand combinatorial mathematics。  new window
 
 
 
 
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