# Matrix Geometric Solution of Fluid Stochastic Petri Nets

**András Horváth, Marco Gribaudo**

### Abstract:

Fluid (or Hybrid) Petri Nets with flush-out arcs
are Petri net based models with two classes of places:
discrete places that carry a natural number of distinct
objects (tokens), and fluid places that hold a positive
amount of fluid, represented by a real number. For this kind
of formalism, equations can be automatically derived from
the model. Such equations, however, are often too complex to
be solved analytically and simple discretization techniques
usually can be successfully applied only to simple cases.
In this paper we present a numerical technique for steady
state solution that makes use of known matrix geometric
techniques.

Postscript

*András Horváth, 2008-06-25*