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In this paper, an approach based on Siphon structures, possibilistic Petri nets and interorganizational WorkFlow nets is proposed to deal with deadlock situations in interorganizational business processes. A deadlock situation is characterized by an insufficiently marked Siphon. Possibilistic Petri nets with uncertainty on the marking and on the transition firing are used to ensure the existence of at least one transition firing sequence enabling the completion of the process without encountering the deadlock situation. Routing patterns and communication protocols that exist in business processes are modeled by interorganizational WorkFlow nets. Combining both formalisms, a kind of possibilistic WorkFlow net is obtained.

Deadlock Avoidance in Interorganizational Business Processes using a Possibilistic WorkFlow Net