PhFit: A General Phase-Type Fitting Tool
TOOLS '02 Proceedings of the 12th International Conference on Computer Performance Evaluation, Modelling Techniques and Tools
A Novel Approach for Fitting Probability Distributions to Real Trace Data with the EM Algorithm
DSN '05 Proceedings of the 2005 International Conference on Dependable Systems and Networks
QEST '05 Proceedings of the Second International Conference on the Quantitative Evaluation of Systems
A Heuristic Approach for Fitting MAPs to Moments and Joint Moments
QEST '09 Proceedings of the 2009 Sixth International Conference on the Quantitative Evaluation of Systems
A Markovian approach for modeling packet traffic with long-range dependence
IEEE Journal on Selected Areas in Communications
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Markov arrival processes (MAPs) are used extensively in traffic modeling. Consequently a wide variety of fitting procedures have been developed. Most of these however are computationally demanding or not general enough. To resolve this problem, two-step procedures of a specific type have been made, which fit a phase-type distribution (PH) to static parameters in the first step, and extend it to a MAP in the second while fitting dynamic parameters. Their general weakness is that the first step often restricts the attainable range of dynamic parameters. In our paper we present a method, that aims at providing a good starting point for the second step, by optimizing the representation of the PH that was produced by the first step.