Single Machine Multi-product Capacitated Lotsizing with Sequence-dependent Setups

Bernardo Almada-Lobo (1, 2) , Diego Klabjan (3) , Maria Antónia Carravilla (1) , Jose Fernando Oliveira (1)

1 Faculty of Engineering
2 Operations Research Center
3 Department of Mechanical and Industrial Engineering

In production planning in the glass container industry, machine dependent setup times and costs are incurred for switchovers from one product to another. The resulting multi-item capacitated lot sizing problem has sequence-dependent setup times and costs. We present two novel linear mixed integer programming formulations for this problem, incorporating all the necessary features of setup carryovers. The compact formulation has polynomially many constraints, while, on the other hand, the stronger formulation uses an exponential number of constraints that can be separated in polynomial time. We also present a five-step heuristic, which is effective both in finding a feasible solution (even for tightly capacitated instances) and in producing good solutions to these problems. We report computational experiments.

Mots clés: Physical Sciences

Bernardo Almada-Lobo, Diego Klabjan, Maria Antónia Carravilla, Jose Fernando Oliveira. Single Machine Multi-product Capacitated Lotsizing with Sequence-dependent Setups. International Journal of Production Research, 2007, 45 (20), pp.4873-4894. ⟨10.1080/00207540601094465⟩. ⟨hal-00512960⟩