Abstract
We address a medium‐ to short‐term production planning problem in a flexible manufacturing environment. First we present a single‐machine, mixed integer programming model for part type selection and lot‐sizing problems over a T‐period planning horizon. Demand for part types changes dynamically through the periods. The objective is to meet the demand for part types during the periods they are demanded. Available machine time and tool magazine capacities are the system constraints in our models. We next extend on the single‐ machine model to include multiple machines. In addition to part type selection and lotsizing decisions, the extended model also addresses the machine‐loading decision. We present exact branch and bound procedures based on linear programming relaxations for the two models. We also report the results of our computational experiments.
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