Abstract

On the background of the heat-treatment operation in the mould manufacturers, a flow shop scheduling problem is described to minimize makespan with two batch machines. The jobs differ from each other in weights and due-dates. An improved mixed integer linear programming (MILP) model is developed. A heuristic is proposed to improve the computing efficiency of the improved MILP model. A small-size instance is conducted to validate the optimal solution can be obtained by the improved MILP model. Large-size instances are designed to demonstrate the computing efficiency of the improved MILP model and the heuristic.

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