A COMPREHENSIVE STUDY OF SOME PETRI NETS WITH THEIR TYPES, PROPERTIES AND APPLICATIONS
By
Riddhi Jangid, Shikha Tripathi and Gajendra Pratap Singh*
School of Computational and Integrative Sciences Jawaharlal Nehru University, New Delhi 110067
Email: riddhijangid97@gmail.com, shikha15sit@jnu.ac.in, gajendra@jnu.ac.in *Corresponding Author
(Received: August 01, 2025; Revised: February 15, 2026; Accepted: April 15, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.561P-7
Abstract
Modeling a discrete event dynamic system with the help of Petri nets is the main task in the application area. These models must satisfy each and every system design and property in order to be applicable in the real world. What if a system is associated with time? Or what if a system is continuously flowing in nature? What if the resources available are to be utilized minimum for the greatest profit? What if there is a random state change in the system? To answer such difficulties, new functions were introduced with the ordinary Petri nets and this gave rise to many types of Petri nets. Now, the Petri nets convey the time delays associated with the system in Time-dependent Petri nets and the continuous flow of nature has been explained by the continuous and hybrid Petri nets. In this article, we try to show the basics of two different types of Petri nets that have been used in different research areas using their examples. Also, the applicability of Petri nets in diverse areas has been described with a few examples.
2020 Mathematical Sciences Classification: 68Q85, 68M14, 68R10, 68Q10
Keywords and Phrases: Petri nets; Types of Petri nets; Properties of Petri nets; Place/transition nets; Coloured Petri nets; Timed Petri nets; Reachability; Invariants.