Iterative methods for overflow queueing models. I

DOI10.1007/BF01396747zbMath0586.65097MaRDI QIDQ1071487

Raymond Honfu Chan

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133189

zbMATH Keywords

convergencenumerical resultspreconditioned conjugate gradient methodsMarkovian queueing networksKolmogorov balance equations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Probabilistic methods, stochastic differential equations (65C99)

Related Items (18)

Boundary value methods for solving transient solutions of Markovian queueing networks ⋮ The linear algebra of block quasi-Newton algorithms ⋮ Iterative methods for overflow queuing models. II ⋮ Circulant preconditioners for failure prone manufacturing systems ⋮ Scientific applications of iterative Toeplitz solvers ⋮ Two queues with weighted one-way overflow ⋮ Deep Neural Networks for Solving Large Linear Systems Arising from High-Dimensional Problems ⋮ Iterative methods for flexible manufacturing systems ⋮ Multigrid methods combined with low-rank approximation for tensor-structured Markov chains ⋮ Exact algorithms for singular tridiagonal systems with applications to Markov chains ⋮ Product-type block preconditioners for electromagnetic cavity problems ⋮ Multigrid algorithm from cyclic reduction for Markovian queueing networks ⋮ Multigrid Methods for Tensor Structured Markov Chains with Low Rank Approximation ⋮ Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade ⋮ The generalized HSS method for solving singular linear systems ⋮ Circulant approximation for preconditioning in stochastic automata networks ⋮ Low-rank tensor methods for Markov chains with applications to tumor progression models ⋮ Algebraic multigrid method for queueing networks

Uses Software

• EISPACK
• symrcm

Cites Work

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• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Matrix Methods for Queuing Problems
• Fast Poisson Solvers for Problems with Sparsity
• An Algorithm for the Machine Calculation of Complex Fourier Series
• The Conjugate Gradient Method for Linear and Nonlinear Operator Equations
• Methods of conjugate gradients for solving linear systems

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