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A faster branch-and-bound algorithm for the earliness-tardiness scheduling problem

Francis SourdContact Information and Safia Kedad-SidhoumContact Information

(1)  LIP6, CNRS, 4 place Jussieu, 75252 Paris, Cedex 05, France
(2)  LIP6, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris, Cedex 05, France

Published online: 17 November 2007

Abstract   This paper addresses the one-machine scheduling problem with earliness-tardiness penalties. We propose a new branch-and-bound algorithm that can solve instances with up to 50 jobs and that can solve problems with even more general non-convex cost functions. The algorithm is based on the combination of a Lagrangean relaxation of resource constraints and new dominance rules.

Keywords  One-machine scheduling - Earliness-tardiness - Lagrangean relaxation - Branch-and-bound


Contact Information Francis Sourd (Corresponding author)
Email: Francis.Sourd@lip6.fr

Contact Information Safia Kedad-Sidhoum
Email: Safia.Kedad-Sidhoum@lip6.fr
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Referenced by
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  1. Baptiste, Philippe (2009) On scheduling a single machine to minimize a piecewise linear objective function: A compact MIP formulation. Naval Research Logistics
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