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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/77740


    Title: A matrix decomposition approach for solving state balance equations of a phase-type queueing model with multiple servers
    Authors: Yen, Yuan Heng;Luh, Hsing Paul, Wang, Chia-Hung
    顏源亨
    Contributors: 應數系
    Keywords: markov processes;multiple servers;performance;phase-type distribution;queueing theory;stationary probability
    Date: 2011-08
    Issue Date: 2015-08-19 16:56:18 (UTC+8)
    Abstract: Stationary probabilities are fundamental in response to various measures of performance in queueing networks. Solving stationary probabilities in Quasi-Birth-and-Death (QBD) with phase-type distribution normally are dependent on the structure of the queueing network. In this paper, a new computing scheme is developed for attaining stationary probabilities in queueing networks with multiple servers. This scheme provides a general approach of considering the complexity of computing algorithm. The result becomes more significant when a large matrix is involved in computation. The background theorem of this approach is proved and provided with an illustrative example in this paper.
    Relation: Queueing Theory and Network Applications, 2011, 193-207
    Data Type: conference
    DOI link: http://dx.doi.org/10.1145/2021216.2021244
    DOI: 10.1145/2021216.2021244
    Appears in Collections:[Department of Computer Science ] Proceedings

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