A Matrix Vector Transition Net Implementation | Chapter 01 | Advances in Mathematics and Computer Science Vol. 1
Aims: Classic Petri nets also known as place transition nets provide many interesting and useful features for system modeling. They are however limited by the place types that are used. A novel approach is presented in this work. A matrix vector transition net model is created and is used to model complex system behavior. This solution extends the modeling power of normal Petri nets. Proposed Solution: A traditional Petri net is modified to create a matrix vector transition net (MVTN). The idea is to combine the ideas from normal Petri net semantics with a matrix vector approach. Implementing the Matrix Vector Transition Net: Ordinary Petri net places are replaced with matrices or vectors. The input and output arcs must have a specific function matrix that determines firing. Firing and behavior remain conceptually and functionally similar to that of a Petri net. It is possible to interchange row and column vectors. The behavior of matrix transition nets must elici...