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 Multigrid algorithm from cyclic reduction for Markovian queueing networks Yang,Shu Ling1; Cai,Jian Feng2; Sun,Hai Wei3 2011-02-21 Source Publication Applied Mathematics and Computation ISSN 00963003 Volume 217Issue:16Pages:6990-7000 Abstract A multigrid method based on cyclic reduction strategy is proposed to solve huge, nonsymmetric singular linear systems arising from Markovian queueing networks. A simple way to construct the matrix-dependent prolongation and restriction operators is presented in this paper. Numerical results for multiple queues are given to illustrate the efficiency and robustness of our methods. Keyword Boundary Value Method Cyclic Reduction Markovian Queueing Network Multigrid Method Nonsymmetric Linear System Singular Systems DOI 10.1016/j.amc.2011.01.108 URL View the original Indexed By SCI Language 英语 WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000288064600021 Fulltext Access Citation statistics Document Type Journal article Collection DEPARTMENT OF MATHEMATICSPersonal research not belonging to the institution Affiliation 1.School of Applied MathematicsGuangdong University of Technology,China2.Temasek LaboratoriesNational University of Singapore,Singapore3.Department of MathematicsUniversity of Macau,China Recommended CitationGB/T 7714 Yang,Shu Ling,Cai,Jian Feng,Sun,Hai Wei. Multigrid algorithm from cyclic reduction for Markovian queueing networks[J]. Applied Mathematics and Computation,2011,217(16):6990-7000. APA Yang,Shu Ling,Cai,Jian Feng,&Sun,Hai Wei.(2011).Multigrid algorithm from cyclic reduction for Markovian queueing networks.Applied Mathematics and Computation,217(16),6990-7000. MLA Yang,Shu Ling,et al."Multigrid algorithm from cyclic reduction for Markovian queueing networks".Applied Mathematics and Computation 217.16(2011):6990-7000.
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