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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...
Conventional methods for simultaneous production scheduling and routing problem have hierarchical decomposition scheme where production scheduling problem and routing problem are separately solved due to computational complexity. We propose a novel decomposition method with cut generation. The entire problem is decomposed into a upper level subproblem for production scheduling and task assignment...
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