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一维下料问题的优化算法及其编程
引用本文:李建星,谷安,徐广增,周韶威.一维下料问题的优化算法及其编程[J].机电一体化,2011(5):100-104.
作者姓名:李建星  谷安  徐广增  周韶威
作者单位:南京航空航天大学 机电学院,江苏南京,210016
摘    要:提出了一种下料方案的算法,结合Kantorovich建立的线性规划模型,给出适合一维下料问题的数学模型.设计了一种求最优解的算法,并对最优解进行了分析.利用计算机编程完整地实现了一维下料问题的优化,解决生产中广泛存在的一维下料问题.

关 键 词:一维下料问题  下料方案  线性规划  优化模型  优化算法  计算机编程

The Optimization Algorithm of One-dimensional Cutting Stock Problem and Its Programming Realization
Abstract:A method of the scheme of breaking material is introduced here. Combined with the model of linear programming created by Kantorovich, a mathematical model of one-dimensional cutting stock problem is designed. The optimal solution is selected and analysised. The optimization is simulated by computer programming, then the one-dimensional cutting stock problem widely existed in production is solved.
Keywords:one-dimensional cutting stock problem the scheme of breaking material linear programming optimization model optimization algorithm computer programming
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