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2008

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

9 years 2 months ago
A branch and bound method for the job-shop problem with sequence-dependent setup times
This paper deals with the job-shop scheduling problem with sequencedependent 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 windows are also solved to perform additional pruning. The traveling salesman problem is formulated as an elementary shortest path problem with resource constraints 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.
Christian Artigues, Dominique Feillet
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2008
Where ANOR
Authors Christian Artigues, Dominique Feillet
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