Research Article
A heuristic procedure for compact Markov representation of PH distributions
@ARTICLE{10.4108/icst.valuetools.2014.258174, author={Illes Horvath and Miklos Telek}, title={A heuristic procedure for compact Markov representation of PH distributions}, journal={EAI Endorsed Transactions on Internet of Things}, volume={1}, number={4}, publisher={EAI}, journal_a={IOT}, 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
IOT
EAI
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.
Copyright © 2015 I. Horvath and M. Telek, licensed to EAI. This is an open access article distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/3.0/), which permits unlimited use, distribution and reproduction in any medium so long as the original work is properly cited.
