Calculation of the Steady State Waiting Time Distribution in GI/PH/c and MAP/PH/c Queues
Queueing Systems: Theory and Applications
The PH/PH/1 queue at epochs of queue size change
Queueing Systems: Theory and Applications
Fitting world-wide web request traces with the EM-algorithm
Performance Evaluation - Special issue: Internet performance and control of network systems
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)
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 minimal representation of Markov arrival processes and a moments matching method
Performance Evaluation
Queueing Theory: A Linear Algebraic Approach
Queueing Theory: A Linear Algebraic Approach
Moments Characterization of Order 3 Matrix Exponential Distributions
ASMTA '09 Proceedings of the 16th International Conference on Analytical and Stochastic Modeling Techniques and Applications
SMCSolver and Q-MAM: tools for matrix-analytic methods
ACM SIGMETRICS Performance Evaluation Review
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In this paper we propose a novel MATLAB tool, called Q-MAM, to compute queue length, waiting time and so-journ time distributions of various discrete and continuous time queuing systems with an underlying structured Markov chain/process. The underlying paradigms include M/G/1-and GI/M/1-type, quasi-birth-death and non-skip-free Markov chains (implemented by the SMCSolver tool), as well as Markov processes with a matrix exponential distribution. We consider various single server queueing systems with phase-type, matrix exponential, Markovian, rational and semi-Markovian arrival and service processes; queues with multiple customer types, where the service depends on the customer type and where consecutive customer types may be correlated; and queues with multiple servers for which the typical dimensionality problem can be avoided. Apart from implementing various classical and more advanced solution techniques, the tool also extends and improves some of the existing solution techniques in a number of cases.