Fluid Stochastic Petri Nets: Theory, Applications, and Solution.

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1996
Accession Number
ADA306817

Entities

People

  • David M. Nicol
  • Graham Horton
  • Kishor S. Trivedi
  • Vldyadhar G. Kulkarni

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Computer Science
  • Differential Equations
  • Equations
  • Firing Rate
  • Fluid Dynamics
  • Fluid Flow
  • Markov Chains
  • Markov Processes
  • Networks
  • Partial Differential Equations
  • Petri Nets
  • Probability
  • Probability Distributions
  • Reliability
  • Steady State
  • Stochastic Processes

Readers

  • Computational Fluid Dynamics (CFD)
  • Information Retrieval
  • Statistical inference.