## Title:

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

## Author:

- Kishor Trivedi
- Duke University

** 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 and evidence of the accuracy
of the fluid approximation is given.