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Citation

Janeček, P. and Mošna, J. and Prautsch, P. : 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
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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},
}