A capacitated lot-sizing model with sequence-dependent setups, parallel machines and bi-part injection moulding

This paper aims to propose a model for solving capacitated lot-sizing problem with sequence-dependent setups (CLSD) and parallel machines in bi-part injection moulding (BPIM) context that consists of injecting two different parts or products into the same mould separate cavities. These require sequence order available capacity at instant, but generate part inventories. The addressed should be considered multi-machine CLSD-BPIM one. We provide mixed integer linear programming (MILP) it. proposed is based on real-world case study from second-tier supplier automotive sector. In setup, inventory resource setup costs terms, benefits are validated by comparing it single-machine replicates current planning scenario carried out company under study. Additionally, random instances real have been generated tested. computational results exhibit optimal solutions small an average 0.2-second solution time, medium present gaps 0.47% 2.6 h large 4% 6 time.