Matrix representations for ordinary restricted place transition nets

Abstract

Matrix representation provides for a concise representation of restricted or simple Petri nets and place transition nets. This main property is often ignored. Matrices are useful for identifying basic fundamental properties that are mainly related to the static structure of a net as presented in this work. Matrices can be used for identifying some very important basic properties. This paper contains the following sections: i) introduction, ii) motivation and problem why matrices can be used to represent basic petri nets iii) incidence matrix representation types for Petri nets iv) basic Petri net properties in terms of matrices are defined, discussed and explained v) simple examples of the properties observed from the matrices are given. Finally vi) some useful observations and vii) conclusions are given.