A linear characterization of the switching dynamic behavior of timed continuous Petri nets with structural conflicts

The behavior of timed continuous Petri nets (TCPN) can be ruled by linear equations during certain time elapses (IB-states), but changes in the marking and conflict solving policies make nonlinear the complete computation of the behavior. In this paper a global characterization of the switching behavior of TCPN through Mixed Linear Integer Programming (MLIP) is presented. The contribution is an analytical technique to compute the evolution graph of a TCPN, which allows deriving MLIP problems from TCPN models including cycles and structural conflicts; conflict resolution policies by priorities and sharing are considered.