Publications
Detail of publication
Citation
: The Use of Coxian Distribution in Closed-Form Treatment of Stochastic Petri Nets . Proceedings of the 15th Mediterranean Conference on Control and Automation, p. 1-4, IEEE, [s.l.], 2007.
Abstract
In this paper we propose a method for delay approximation in stochastic Petri nets. The method is based on utilization of Coxian distribution and least square fitting criteria. The problem is reduced to a direct parameters identification. Two examples illustrate the method application. The first one demonstrates approximation of power outage duration at a 200 MW power plant unit. Degree of a phase-type distribution resulting from a fork-join structure is reduced in the second example.
Detail of publication
| Title: | The Use of Coxian Distribution in Closed-Form Treatment of Stochastic Petri Nets |
|---|---|
| Author: | Janeček, P. ; Mošna, J. ; Prautsch, P. |
| Language: | English |
| Date of publication: | 27 Jun 2007 |
| Year: | 2007 |
| Type of publication: | Papers in proceedings of reviewed conferences |
| Title of journal or book: | Proceedings of the 15th Mediterranean Conference on Control and Automation |
| Page: | 1 - 4 |
| ISBN: | 978-960-254-664-2 |
| Publisher: | IEEE |
| Address: | [s.l.] |
| Date: | 27 Jun 2007 - 29 Jun 2007 |
Keywords
Coxian Distribution, phase-type distribution, direct parameters identification, least square fitting criteria
BibTeX
@INPROCEEDINGS{JanecekP_2007_TheUseofCoxian,
author = {Jane\v{c}ek, P. and Mo\v{s}na, J. and Prautsch, P.},
title = {The Use of Coxian Distribution in Closed-Form Treatment of Stochastic Petri Nets},
year = {2007},
publisher = {IEEE},
journal = {Proceedings of the 15th Mediterranean Conference on Control and Automation},
address = {[s.l.]},
pages = {1-4},
ISBN = {978-960-254-664-2},
url = {http://www.kky.zcu.cz/en/publications/JanecekP_2007_TheUseofCoxian},
}


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