Annals of Operations Research

, Volume 159, Issue 1, pp 135–159

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

Article

DOI: 10.1007/s10479-007-0283-0

Cite this article as:
Artigues, C. & Feillet, D. Ann Oper Res (2008) 159: 135. doi:10.1007/s10479-007-0283-0

Abstract

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 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.

Keywords

Job-shop scheduling Sequence-dependent setup times Branch and bound Constraint propagation Dynamic programming 

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Université de Toulouse, LAAS–CNRSToulouseFrance
  2. 2.LIA—Université d’AvignonAvignon Cedex 9France

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