Modeling and representation of manufacturing process with uncertainties using parametric modular design and xPNML

Abstract

This paper proposes fuzzy Colored Petri Nets with stochastic time delay (FCPN-std) as one of methodologies of incorporating qualitative uncertainties and stochastic information in a manufacturing system. As a combined model with fuzzy colored Petri Nets (FCPNs) and stochastic Petri Nets (SPNs), it captures and models statistical and qualitative uncertainties in manufacturing processes. A parametric modular design methodology is proposed for effective design of complex processes. A mold producing process in digital camera making industry is modeled as an example application. The model incorporating uncertain and stochastic information is represented using extended Petri Net Markup Language (xPNML) architecture. xPNML formatted fuzzy colored Petri Net with stochastic time delay is shown as an effective design methodology and representation tool for describing manufacturing processes and capturing uncertainties.