Discrete Event Dynamic Systems
Discrete-Event Simulation of Fluid Stochastic Petri Nets
IEEE Transactions on Software Engineering
Urban traffic control structure based on hybrid Petri nets
IEEE Transactions on Intelligent Transportation Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
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In this paper, we propose a general decomposition method for transition firing sequence problems for first order hybrid Petri Nets. The optimal transition firing sequence problem for first-order hybrid Petri Nets is formulated as a mixed integer programming problem. We propose a Lagrangian relaxation method for solving optimal transition firing sequence problems. The hybrid Petri Net is decomposed into several subnets in which the optimal firing sequence for each subnet is easily solved. The optimality of solution can be evaluated by duality gap derived by Lagrangian relaxation method. The proposed method is applied to a small-scale example. Computational experiments demonstrate the validity of the proposed formulation.