Modeling a Fuzzy Resource Allocation Mechanism based on Workflow Nets

Colored Petri Nets (CPN) arose from the need to model very large and complex systems, which are found in real industrial applications. The idea behind CPN is to unite the ability to represent synchronization and competition for resources of Petri nets with the expressive power of programming languages, data types and diverse abstraction levels. This work proposes the use of Hierarchical Colored Petri Nets and CPN Tools to model a Workflow net with fuzzy sets delimited by possibility distributions associated with the Petri net models that represent human type resource allocation mechanisms. Additionally, the duration of activities that appear on the routes (control structure) of the Workflow process, will be represented by fuzzy time intervals. Besides, firing rules based on a joint possibility distribution will be used in order to express in a more realistic way the resource allocation mechanisms when human behavior is considered in Workflow activities.