Efficient Handling of Phase-Type Distributions in Generalized Stochastic Petri Nets
dc.contributor.author | Haddad, Serge
HAL ID: 745039 | |
dc.contributor.author | Moreaux, Patrice
HAL ID: 10630 | |
dc.contributor.author | Chiola, Giovanni | |
dc.date.accessioned | 2011-02-01T13:39:40Z | |
dc.date.available | 2011-02-01T13:39:40Z | |
dc.date.issued | 1997 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/5616 | |
dc.language.iso | en | en |
dc.subject | Tensor algebra | en |
dc.subject | Stochastic Petri Nets | en |
dc.subject | Phase-type distributions | en |
dc.subject | Coxian distributions | en |
dc.subject.ddc | 004 | en |
dc.title | Efficient Handling of Phase-Type Distributions in Generalized Stochastic Petri Nets | en |
dc.type | Communication / Conférence | |
dc.description.abstracten | 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. | en |
dc.identifier.citationpages | 175-194 | en |
dc.relation.ispartofseriestitle | Lecture Notes in Computer Science | |
dc.relation.ispartofseriesnumber | 1248 | |
dc.relation.ispartoftitle | Application and Theory of Petri Nets 1997 18th International Conference, ICATPN'97, Toulouse, France, June 23-27, 1997, Proceedings | en |
dc.relation.ispartofeditor | Azema, Pierre | |
dc.relation.ispartofeditor | Balbo, Gianfranco | |
dc.relation.ispartofpublname | Springer | en |
dc.relation.ispartofpublcity | Berlin | en |
dc.relation.ispartofdate | 1997 | |
dc.relation.ispartofpages | 467 | en |
dc.relation.ispartofurl | http://dx.doi.org/10.1007/3-540-63139-9 | en |
dc.description.sponsorshipprivate | oui | en |
dc.subject.ddclabel | Informatique générale | en |
dc.relation.ispartofisbn | 978-3-540-63139-2 | en |
dc.relation.conftitle | ICATPN'97 Eighteenth International Conference on Application and Theory of Petri Nets | en |
dc.relation.confdate | 1997-06 | |
dc.relation.confcity | Toulouse | en |
dc.relation.confcountry | France | en |
dc.identifier.doi | http://dx.doi.org/10.1007/3-540-63139-9_36 |