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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
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
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