Multigrid algorithm from cyclic reduction for Markovian queueing networks

Multigrid algorithm from cyclic reduction for Markovian queueing networks

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Article ID: iaor20113605
Volume: 217
Issue: 16
Start Page Number: 6990
End Page Number: 7000
Publication Date: Apr 2011
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: markov processes
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.

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