A comprehensive approach of planning and scheduling based on petri nets
George Harhalakis, Jean‐Marie Proth, Xiaolan Xie · Applied Stochastic Models and Data Analysis · 1993
Abstract The main results available on the use of black‐and‐white Petri nets for modelling, planning and scheduling manufacturing systems are presented. In the first part of the paper, the basics of Petri nets necessary to understand the subsequent presentation are introduced. Particular attention is paid to event graphs, a particular type of Petri nets used for modelling and evaluating ratio‐driven systems. The second part of the paper is devoted to ratio‐driven systems, their modelling and their scheduling. Job‐shops, assembly systems, and KANBAN systems are used to illustrate this section. Finally, the general case is investigated of manufacturing systems subject to changing demands. An approach based on conflict‐free Petri nets with input and output transitions is proposed for planning and scheduling this type of system.