Slab matching problem: a tabu search approach

Jiaxiang Luo, Lixin Tang
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Abstract

This paper discusses matching orders against slabs problem which arises in integrated steel industry. The number of surplus slabs increases responding to varying customer needs for product customization and quantities. To deal with the surplus slabs, it is important to optimize the matching orders against slabs from an optimization perspective. It can be modeled as a partitioning problem with multiple objectives and constraints. In this paper we formulate this problem as a cost-minimizing integer mathematical programming. A heuristic method based on tabu search is proposed. The method combines the swap, insertion and cyclic transfers neighborhoods to determine good approximate solutions. Computational results on production data from an iron and steel factory are presented and analyzed. Comparison with actual slab matching indicates that the proposed method could produce significantly better matching
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Slab匹配问题:一种禁忌搜索方法
本文讨论了综合钢铁工业中出现的对板配单问题。根据客户对产品定制和数量的不同需求,剩余板的数量也会增加。为了处理多余的板料,从优化的角度对板料的匹配顺序进行优化是很重要的。它可以建模为具有多个目标和约束的划分问题。本文将这一问题表述为成本最小化整数数学规划。提出了一种基于禁忌搜索的启发式算法。该方法结合交换邻域、插入邻域和循环转移邻域来确定好的近似解。给出了某钢铁厂生产数据的计算结果并进行了分析。与实际板匹配的对比表明,该方法能显著提高匹配效果
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