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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/68186
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/68186


    Title: Solving Ck/Cm/1/N queues by using characteristic roots in matrix analytic methods
    Authors: 陸行
    Luh,Hsing
    Wang,Hsin-Yi
    Contributors: 應數系
    Keywords: Queues;Phase-type probability distributions;Matrix analytic methods;Laplace transforms;Vector product-forms
    Date: 2007.05
    Issue Date: 2014-08-05 16:32:20 (UTC+8)
    Abstract: In this paper, we study a Ck/Cm/1/N open queueing system with finite capacity. We investigate the property which shows that a product of the Laplace Stieltjes Transforms of interarrival and service times distributions satisfies an equation of a simple form. According to this equation, we present that the stationary probabilities on the unboundary states can be written as a linear combination of vector product-forms. Each component of these products is expressed in terms of roots of an associated characteristic polynomial. As a result, we carry out an algorithm for solving stationary probabilities in Ck/Cm/1/N systems, which is independent of N, hence greatly reducing the computational complexity.
    Relation: Applied Mathematical Modelling,31(5),920-933
    Data Type: article
    DOI 連結: http://dx.doi.org/10.1016/j.apm.2006.02.008
    DOI: 10.1016/j.apm.2006.02.008
    Appears in Collections:[應用數學系] 期刊論文

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