The optimal production rate (production capacity) for a single product system with some deterministic dynamic demands is considered. Under a linear-additivity assumption on the associated cost information, the existence of the optimal solution for production capacity is verified. For the model, two solving techniques (point-wise computation and L.P, approaches) are developed for both unfilled-demand handling cases of lost-sales and backlogging, with which example problems are tested to show the superiority of the point-wise computation approach to L.P, approach.
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