ABSTRACT
This chapter focuses on a hybrid Petri net (HPN) model, called first-order hybrid Petri net (FOHPN), whose main feature is that of having piece-wise continuous dynamics. It provides a survey of the most common HPN models. The chapter shows how a relaxation of a discrete events formalism can be useful when modelling, analyzing and controlling manufacturing and inventory systems. HFNs are well suited for the modelling and control of industrial transformation processes for which the dynamics behaviour has an hybrid nature. The Fluid stochastic Petri nets (FSPN) model has been firstly presented by K. S. Trivedi and V. Kulkarni in the early 1990s. The chapter extends the stochastic Petri net (PN) framework to FSPNs by introducing places with continuous tokens and arcs with fluid flow so as to handle stochastic fluid flow systems. Wolter and Hommel also extend the fluid stochastic PN model to second order flow approximations.
