
Efficient Handling of Phase-Type Distributions in Generalized Stochastic Petri Nets
Haddad, Serge; Moreaux, Patrice; Chiola, Giovanni (1997), Efficient Handling of Phase-Type Distributions in Generalized Stochastic Petri Nets, in Azema, Pierre; Balbo, Gianfranco, Application and Theory of Petri Nets 1997 18th International Conference, ICATPN'97, Toulouse, France, June 23-27, 1997, Proceedings, Springer : Berlin, p. 175-194. http://dx.doi.org/10.1007/3-540-63139-9_36
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Type
Communication / ConférenceDate
1997Conference title
ICATPN'97 Eighteenth International Conference on Application and Theory of Petri NetsConference date
1997-06Conference city
ToulouseConference country
FranceBook title
Application and Theory of Petri Nets 1997 18th International Conference, ICATPN'97, Toulouse, France, June 23-27, 1997, ProceedingsBook author
Azema, Pierre; Balbo, GianfrancoPublisher
Springer
Series title
Lecture Notes in Computer ScienceSeries number
1248Published in
Berlin
ISBN
978-3-540-63139-2
Number of pages
467Pages
175-194
Publication identifier
Metadata
Show full item recordAbstract (EN)
We study the introduction of transitions with Phase-type distribution firing time in (bounded) generalized stochastic Petri nets. Such transitions produce large increases of both space and time complexity for the computation of the steady state probabilities of the underlying Markov chain. We propose a new approach to limit this phenomenon while keeping full stochastic semantics of previous works. The method is based on a structural decomposition of the net. We establish conditions under which this decomposition leads to a tensor expression of the generator of the chain. The tensor expression is used to solve the chain with an iterative method.Subjects / Keywords
Tensor algebra; Stochastic Petri Nets; Phase-type distributions; Coxian distributionsRelated items
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