A supply chain model using complex-valued token Petri nets

This paper presents a modeling technique for analyzing supply chains that represent a process oriented approach to producing and delivering products. The system is modeled by using a new extension to ordinary Petri nets (PNs) named complex-valued token Petri nets. Such a high-level of Petri nets employs complex-valued tokens to increase their descriptive abilities. A two stage supply chain is analyzed and a pull JIT/Kanban methodology is used to synchronize the successive completion of the products. The simulation of the stochastic complex token PN modeling the supply chain evaluates the system performance under different values of Kanbans and transporters.