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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/68186

Please use this identifier to cite or link to this item: https://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 link:	http://dx.doi.org/10.1016/j.apm.2006.02.008
DOI:	10.1016/j.apm.2006.02.008
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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