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A Column-Generation Approach for a Short-Term Production Planning Problem in Closed-Loop Supply Chains

机译:闭环供应链中短期生产计划问题的列生成方法

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We present a new model formulation for a multi-product lot-sizing problem with product returns and remanufacturing subject to a capacity constraint. The given external demand of the products has to be satisfied by remanufactured or newly produced goods. The objective is to determine a feasible production plan, which minimizes production, holding, and setup costs. As the LP relaxation of a model formulation based on the well-known CLSP leads to very poor lower bounds, we propose a column-generation approach to determine tighter bounds. The lower bound obtained by column generation can be easily transferred into a feasible solution by a truncated branch-and-bound approach using CPLEX. The results of an extensive numerical study show the high solution quality of the proposed solution approach.
机译:我们针对产能受限的产品退货和再制造的多产品批量问题提出了一种新的模型公式。产品的给定外部需求必须通过再制造或新生产的产品来满足。目的是确定可行的生产计划,以最小化生产,持有和设置成本。由于基于众所周知的CLSP的模型公式的LP松弛会导致非常差的下限,因此我们提出了一种色谱柱生成方法来确定更严格的界限。通过使用CPLEX的截断的分支定界方法,可以轻松地将通过列生成获得的下限转换为可行的解决方案。广泛的数值研究结果表明,所提出的求解方法具有很高的求解质量。

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