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題名 A matrix decomposition approach for solving state balance equations of a phase-type queueing model with multiple servers
作者 Yen, Yuan Heng;Luh, Hsing Paul, Wang, Chia-Hung
顏源亨
貢獻者 應數系
關鍵詞 markov processes; multiple servers; performance; phase-type distribution; queueing theory; stationary probability
日期 2011-08
上傳時間 19-Aug-2015 16:56:18 (UTC+8)
摘要 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.
關聯 Queueing Theory and Network Applications, 2011, 193-207
資料類型 conference
DOI http://dx.doi.org/10.1145/2021216.2021244
dc.contributor 應數系-
dc.creator (作者) Yen, Yuan Heng;Luh, Hsing Paul, Wang, Chia-Hung-
dc.creator (作者) 顏源亨-
dc.date (日期) 2011-08-
dc.date.accessioned 19-Aug-2015 16:56:18 (UTC+8)-
dc.date.available 19-Aug-2015 16:56:18 (UTC+8)-
dc.date.issued (上傳時間) 19-Aug-2015 16:56:18 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/77740-
dc.description.abstract (摘要) 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.-
dc.format.extent 392592 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Queueing Theory and Network Applications, 2011, 193-207-
dc.subject (關鍵詞) markov processes; multiple servers; performance; phase-type distribution; queueing theory; stationary probability-
dc.title (題名) A matrix decomposition approach for solving state balance equations of a phase-type queueing model with multiple servers-
dc.type (資料類型) conferenceen
dc.identifier.doi (DOI) 10.1145/2021216.2021244-
dc.doi.uri (DOI) http://dx.doi.org/10.1145/2021216.2021244-