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一维下料方案的贪心算法优化
引用本文:陈炼,马永生,刘光明.一维下料方案的贪心算法优化[J].南昌大学学报(工科版),2005,27(4):71-73,84.
作者姓名:陈炼  马永生  刘光明
作者单位:南昌大学,信息工程学院,江西,南昌,330029
摘    要:在对一维下料方案数学模型分析的基础上,提出了一种基于贪心算法的求解方法.主要思想是采用原材料利用率最高的切割方式优先的贪心选择策略,从而将问题转化为求解给定集合的子集和问题.实际应用表明,采用该算法求解出一维优化下料方案,可提高材料的利用率.

关 键 词:一维下料  贪心算法  子集和  优化
文章编号:1006-0456(2005)04-0071-03
收稿时间:2005-02-25
修稿时间:2005-02-25

Optimization for One Dimensional Cutting Stock Problem Based on Greedy Algorithms
CHEN Lian,MA Yong-sheng,LIU Guang-ming.Optimization for One Dimensional Cutting Stock Problem Based on Greedy Algorithms[J].Journal of Nanchang University(Engineering & Technology Edition),2005,27(4):71-73,84.
Authors:CHEN Lian  MA Yong-sheng  LIU Guang-ming
Affiliation:School of Information Engineering, Nanchang University, Nanchang 330029, China
Abstract:Based on analyzing the mathematical models for one -dimensional cutting stock problem, a greedy algorithm has been constructed, which is an approximate algorithm. The main idea is using the most efficient cutting technique of the raw materials at the moment - the greedy - choice strategy, and then changing the problem to a subset problem. Result shows that the algorithm is valid and efficient.
Keywords:one cutting stock problem  greedy algorithms  subset problem  optimization
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