A Novel MILP Model for the Production, Lot Sizing, and Scheduling of Automotive Plastic Components on Parallel Flexible Injection Machines with Setup Common Operators

Table 1

Literature review of recent lot-sizing and scheduling problems.

Authors	Objectives	Industrial application	Resolution methods	Solver
Kim et al. [2]	Minimize the sum of production, setup, and inventory costs	Zinc refinery	Heuristic algorithm combining a decomposition scheme with a local search procedure	CPLEX
Ibarra-Rojas et al. [10]	Maximize the weighted cost of produced pieces	Automotive, consumer goods, and toys	Decomposition approach	CPLEX 11.2
Stadtler [13]	Minimize the sum of inventory holding and setup costs in the planning interval	Pharmaceutical		Xpress-MP
Ríos-Solís et al. [9]	Maximize the profit of finished products	Automotive, consumer goods, and toys	Iterative heuristic based on mathematical programming	Gurobi 6.05
Meyr and Mann [14]	Minimize inventory holding, sequence-dependent setup, and line-specific production costs of potentially heterogeneous production lines	—	Decomposition-based approach	GLPK 4.44
Wolosewicz et al. [15]	Minimize the sum of production, inventory, and setup costs	—	Lagrangian heuristic	XPRESS-MP