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COMPARISON OF MIP MODELS FOR THE INTEGRATED LOT-SIZING AND ONE-DIMENSIONAL CUTTING STOCK PROBLEM

机译:批量和一维切割库存问题集成的MIP模型的比较

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Production processes comprising both the lot-sizing problem and the cutting stock problem are frequent in various industrial sectors. However these problems are usually treated separately, which can generates suboptimal overall solution and consequently causes production losses. In this paper, we propose different mathematical models for the integrated problem combining alternative models for the lot-sizing and the cutting stock problem, in order to evaluate and indicate the impact of these changes on the models' performance. An extensive computational study is done using randomly generated data and as a solution strategy we used a commercial optimization package and the application of a column generation technique.
机译:在各个工业领域中,既包括批量问题又涉及切割库存问题的生产过程非常频繁。然而,这些问题通常被分开处理,这可能会产生次优的整体解决方案,从而导致生产损失。在本文中,我们提出了针对集成问题的不同数学模型,并结合了用于批量确定和切割库存问题的替代模型,以评估并指出这些变化对模型性能的影响。使用随机生成的数据进行了广泛的计算研究,作为解决方案的策略,我们使用了商业优化程序包和列生成技术的应用。

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