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A faster branch-and-bound algorithm for the earliness-tardiness scheduling problem
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A faster branch-and-bound algorithm for the earliness-tardiness scheduling problem
Francis Sourd1 and Safia Kedad-Sidhoum2 
| (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
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