A - and -invariant characterization of product form and decomposition in stochastic Petri nets

Kortbeek, Nikky; Boucherie, Richard J.

doi:10.1016/j.peva.2012.07.001

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Reaction Network and Product Form In The Literature1

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2017

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Cited by 2 publications

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“…A reaction network may also be modeled as a stochastic Petri net [2,9,17,23,25] . For such networks, the transient distribution P(X (t ) = n), n ∈ S, is of interest.…”

Section: Reaction Network and Product Form In The Literaturementioning

confidence: 99%

Transient detailed balance and product form for reaction networks

Boer

Boucherie

2017

Stochastic Models

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This paper explores the boundary of the set of reaction networks that have an exact transient (truncated) multidimensional Poisson or product-form distribution for the number of particles of different types. Motivated by the birth-death process, we introduce the notions of transient detailed balance and delay functions, and use these notions to obtain the novel transient product-form distribution in a coagulation-fragmentation process for polymers with a tree-like structure from that of the pure coagulation process.

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“…A reaction network may also be modeled as a stochastic Petri net [2,9,17,23,25] . For such networks, the transient distribution P(X (t ) = n), n ∈ S, is of interest.…”

Section: Reaction Network and Product Form In The Literaturementioning

confidence: 99%