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A Class of Stochastic Petri Nets with Step Semantics and Related Equivalence Notions

This paper presents a class of Stochastic Petri Nets with concurrent transition firings. It is assumed that transitions occur in steps and that for every step each enabled transition decides probabilistically whether it wants to participate in the step or not. Among the transitions which what to participate in a step, a maximal number is chosen to perform the firing step. The observable behavior is defined and equivalence relations are introduced. The equivalence relations extend the well-known trace and bisimulation equivalences for systems with step semantics to Stochastik Petri Nets with concurrent transition firing. It is shown that the equivalence notions form a lattice of interrelations.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:14-qucosa-100383
Date15 January 2013
CreatorsBuchholz, Peter, Tarasyuk, Igor V.
ContributorsTechnische Universität Dresden, Fakultät Informatik
PublisherSaechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:workingPaper
Formatapplication/pdf, application/postscript, application/zip
Relationdcterms:isPartOf:Technische Berichte / Technische Universität Dresden, Fakultät Informatik ; 2000,12 (TUD-FI00-12 November 2000)

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