A heuristic procedure for compact Markov representation of PH distributions

Illés Horváth, M. Telek

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationProceedings of the 8th International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2014
PublisherICST
Pages195-202
Number of pages8
ISBN (Print)9781631900570
DOIs
Publication statusPublished - 2014
Event8th International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2014 - Bratislava, Slovakia
Duration: Dec 9 2014Dec 11 2014

Other

Other8th International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2014
CountrySlovakia
CityBratislava
Period12/9/1412/11/14

Keywords

  • Feedback Erlang block
  • Minimal representation
  • PH distribution
  • Unicyclic block

ASJC Scopus subject areas

  • Information Systems

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  • Cite this

    Horváth, I., & Telek, M. (2014). A heuristic procedure for compact Markov representation of PH distributions. In Proceedings of the 8th International Conference on Performance Evaluation Methodologies and Tools, VALUETOOLS 2014 (pp. 195-202). ICST. https://doi.org/10.4108/icst.valuetools.2014.258174