On the Solution of a Nonlinear Matrix Equation arising in Queueing Problems
SIAM Journal on Matrix Analysis and Applications
A Shifted Cyclic Reduction Algorithm for Quasi-Birth-Death Problems
SIAM Journal on Matrix Analysis 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: software tools
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 conditional probability approach to M/G/1-like queues
Performance Evaluation
An advanced queueing model to analyze appointment-driven service systems
Computers and Operations Research
A traffic based decomposition of two-class queueing networks with priority service
Computer Networks: The International Journal of Computer and Telecommunications Networking
Q-MAM: a tool for solving infinite queues using matrix-analytic methods
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Approximation of discrete-time polling systems via structured Markov chains
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
Structured Markov chains solver: tool extension
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
Triangular M/G/1-Type and Tree-Like Quasi-Birth-Death Markov Chains
INFORMS Journal on Computing
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 analyze the problem of the numerical solution of structured Markov chains encountered in queuing models: we describe the main computational problems and present the most advanced algorithms currently available for their solutions.