Fluid stochastic petri nets: Theory, applications, and solution techniques

Journal Article (Journal Article)

In this paper we introduce a new class of stochastic Petri nets in which one or more places can hold fluid rather than discrete tokens. We define a class of fluid stochastic Petri nets in such a way that the discrete and continuous portions may affect each other. Following this definition 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 and evidence of the accuracy of the fluid approximation is given. © 1998 Elsevier Science B.V.

Full Text

Duke Authors

Cited Authors

  • Horton, G; Kulkarni, VG; Nicol, DM; Trivedi, KS

Published Date

  • February 16, 1998

Published In

Volume / Issue

  • 105 / 1

Start / End Page

  • 184 - 201

International Standard Serial Number (ISSN)

  • 0377-2217

Digital Object Identifier (DOI)

  • 10.1016/S0377-2217(97)00028-3

Citation Source

  • Scopus