Hybrid job shop scheduling with mixed blocking constraints between operations

Christophe Sauvey , Wajdi Trabelsi (1, 2)

1 ICN Business School
2 LGIPM - Laboratoire de Génie Informatique, de Production et de Maintenance

This paper addresses a hybrid job shop problem with identical machines, where several blocking constraints can be taken into account in a same problem. A mathematical linear integer model is proposed to be able to solve optimally the problem with commercial software. Since this problem is NPhard, we developed an evaluation function in order to be able to solve bigger problems with classical meta-heuristics, thanks to a blocking matrix, containing the blocking constraints encountered after each operation of each job. The benchmark problems are proposed at the end of this paper, and the obtained results validate as much the proposed method as the evaluation function quality and suitability.

Mots clés: mixed blocking constraints; mathematic model; meta-heuristics; genetic algorithm; hybrid job-shop; scheduling

Domaines: Gestion et management

Christophe Sauvey, Wajdi Trabelsi (Dir.). Hybrid job shop scheduling with mixed blocking constraints between operations. International Conference on Emerging Technologies and Factory Automation (IEEE EFTA), 2015, ⟨10.1109/ETFA.2015.7301538⟩. ⟨hal-01507983⟩