Fluid stochastic Petri nets: Theory applications and solution techniques (1998)
| Venue: | European Journal of Operational Research |
| Citations: | 49 - 10 self |
BibTeX
@ARTICLE{Horton98fluidstochastic,
author = {Graham Horton and Vidyadhar G. Kulkarni and David M. Nicol and Kishor S. Trivedi},
title = {Fluid stochastic Petri nets: Theory applications and solution techniques},
journal = {European Journal of Operational Research},
year = {1998},
pages = {184--201}
}
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Abstract
In this paper we introduce a new class of stochastic Petri nets in which one or more places can hold uid rather than discrete tokens. We de ne a class of uid stochastic Petri nets in such awaythat the discrete and continuous portions may a ect each other. Following this de nition we provide equations for their transient and steady-state behavior. We present several examples showing the utility of the construct in communication network modeling and reliability analysis, and discuss important special cases. We then discuss numerical methods for computing the transient behavior of such nets. Finally, some numerical examples are presented.
