The tutorial introduces the application of stochastic fluid
models in performance analysis through various application examples
and summarizes the solution methods available for the numerical
analysis of these models. A high level modelling language, based on
Fluid Stochastic Petri Nets is presented to describe fluid models in
a more compact and graphical way.
Stochastic fluid models can be applied in a wide range of modeling cases.
In the majority of the cases both the system modeling and the system analysis
are more complex than with discrete Markov models, but within some limits
both steps remain feasible.
The two parts of the tutorial discusses this two steps of
The first part focuses on a modelling tool, the Fluid Stochastic Petri Net,
and its use.
The second part discusses the analytical background of the
evaluation of various kinds of fluid models.
Application examples where the fluid models have been
successfully used in the literature, will be presented to
explain when fluid models really work in practice, and how
to reduce the solution complexity.