A branch and bound method for the job-shop problem with sequence-dependent setup times

نویسندگان

  • Christian Artigues
  • Dominique Feillet
چکیده

This paper deals with the job-shop scheduling problem with sequence-dependent setup times. We propose a new method to solve the makespan minimization problem to optimality. The method is based on iterative solving via branch and bound decisional versions of the problem. At each node of the branch and bound tree, constraint propagation algorithms adapted to setup times are performed for domain filtering and feasibility check. Relaxations based on the traveling salesman problem with time window are also solved to perform additional pruning. The traveling salesman problem is formulated as an elementary shortest path with resource constraint and solved through dynamic programming. This method allows to close previously unsolved benchmark instances of the literature and also provides new lower and upper bounds.

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عنوان ژورنال:
  • Annals OR

دوره 159  شماره 

صفحات  -

تاریخ انتشار 2008