Accession Number : ADA306817

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

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Horton, Graham ; Kulkarni, Vldyadhar G. ; Nicol, David M. ; Trivedi, Kishor S.

PDF Url : ADA306817

Report Date : JAN 1996

Pagination or Media Count : 22

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.

Descriptors :   *MATHEMATICAL MODELS, STEADY STATE, QUEUEING THEORY, PROBABILITY DISTRIBUTION FUNCTIONS, MATRICES(MATHEMATICS), COMPUTATIONAL FLUID DYNAMICS, RELIABILITY, APPROXIMATION(MATHEMATICS), NUMERICAL INTEGRATION, PARTIAL DIFFERENTIAL EQUATIONS, SYSTEMS ANALYSIS, MARKOV PROCESSES, STOCHASTIC CONTROL, FLUID FLOW.

Subject Categories : Operations Research
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE