Lagrangian Relaxation and Cut Generation for Sequence Dependent Setup Time Flowshop Scheduling Problems
نویسندگان
چکیده
Lagrangian relaxation technique is successfully applied to solve sequence dependent setup time flowshop problem to minimize the total weighted tardiness. The relaxed problem can be decomposed into each job-level subproblem that can be effectively solved by dynamic programming. Two types of the additional constraints for the violation of sequence dependent setup time constraints are imposed to the relaxed problem to strengthen the lower bound. The decomposed subproblem with the additional constraints is also effectively solved by the novel dynamic programming. Computational results show that the lower bound derived by the proposed method is extremely better than that of branch and bound algorithm.
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