Research Article
A heuristic procedure for compact Markov representation of PH distributions
@INPROCEEDINGS{10.4108/icst.valuetools.2014.258174, author={Illes Horvath and Miklos Telek}, title={A heuristic procedure for compact Markov representation of PH distributions}, proceedings={8th International Conference on Performance Evaluation Methodologies and Tools}, publisher={EAI}, proceedings_a={VALUETOOLS}, year={2015}, month={2}, keywords={ph distribution minimal representation feedback erlang block unicyclic block}, doi={10.4108/icst.valuetools.2014.258174} }- Illes Horvath
Miklos Telek
Year: 2015
A heuristic procedure for compact Markov representation of PH distributions
VALUETOOLS
ICST
DOI: 10.4108/icst.valuetools.2014.258174
Abstract
The minimal Markovian representation of PH distributions is an open research problem, which was actively investigated during the last two decades. We present a numerical method for finding small Markovian representation of PH distributions and investigate the general quality of the method by comparing the size of the obtained representation with the size of the representation obtained by alternative methods. Our numerical method intends to find a small Markovian representation. We report examples when the obtained representation is larger than the minimal Markovian representation.
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