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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/18686


    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/18686


    题名: Matrix Product-Form Solutions of Stationary Probabilities in Tandem Queues
    作者: 陸行
    日期: 1999-12
    上传时间: 2008-12-24 13:29:05 (UTC+8)
    摘要: Fujimoto et al., have proved that the tail of the joint queue length distribution in a two-stage tandem queueing system has the geometric decay property. We continue to investigate the properties of stationary distributions in this tandem queueing system. Under the same conditions proposed by them, it is further shown that the stationary probability of the saturated states in the PH/PH/c1 Ñ /PH/c2 queue has a linear combination of product-forms. The method of linear combination of product-forms is presented in a QBD process with a countable number of phases in each level. We show that each component of these products can be expressed in terms of roots of the associated characteristic polynomials which involve only the Laplace-Stieltjes transforms of the interarrival and service time distributions.
    關聯: Journal of the Operations Research Society of Japan,42(4),436-456
    数据类型: article
    显示于类别:[應用數學系] 期刊論文

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