Dominance-Based Heuristics for One-Machine Total Cost Scheduling Problems

Antoine Jouglet (1) , David Savourey (1) , Jacques Carlier (1) , Philippe Baptiste (2)

1 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]
2 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]

We study the one-machine scheduling problem with release dates and we look at several objective functions including total (weighted) tardiness and total (weighted) completion time. We describe dominance rules for these criteria, as well as techniques for using these dominance rules to build heuristic solutions. We use them to improve certain well-known greedy heuristic algorithms from the literature. Finally, we introduce a Tabu Search method with a neighborhood based on our dominance rules. Experiments show the effectiveness of our techniques in obtaining very good solutions for all studied criteria.

Mots clés: Scheduling; Heuristics; Single Machine; Dominance Rules

Domaines: Recherche opérationnelle [math.OC]

Antoine Jouglet, David Savourey, Jacques Carlier, Philippe Baptiste. Dominance-Based Heuristics for One-Machine Total Cost Scheduling Problems. European Journal of Operational Research, 2007, 184 (3), pp.879-899. ⟨10.1016/j.ejor.2006.11.036⟩. ⟨hal-00155576⟩