Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
A Shifted Cyclic Reduction Algorithm for Quasi-Birth-Death Problems
SIAM Journal on Matrix Analysis and Applications
Queueing Systems: Theory and Applications
Numerical Methods for Structured Markov Chains (Numerical Mathematics and Scientific Computation)
Numerical Methods for Structured Markov Chains (Numerical Mathematics and Scientific Computation)
Solving certain matrix equations by means of Toeplitz computations: algorithms and applications
Contemporary mathematics
Structured Markov chains solver: algorithms
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
Structured Markov chains solver: software tools
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
A compressed cyclic reduction for QBDs with low rank upper and lower transitions
ACM SIGMETRICS Performance Evaluation Review
SMCSolver and Q-MAM: tools for matrix-analytic methods
ACM SIGMETRICS Performance Evaluation Review
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We expand and update the software tool SMCSolver, presented at the SMCTools workshop in 2006, for the numerical solution of structured Markov chains encountered in queuing models. In particular the new version of the package implements different transformation techniques and different shift strategies which are combined in order to speed up and optimize the solution of structured Markov chains. Numerical experiments show the effectiveness of the new implemented techniques.