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线性规划基线算法的基本概念 被引量:20

THE BASIC LINE ALGORITHM FOR LINEAR PROGRAMMING
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摘要 The basic line algorithm is a development of the simplex method (a basic pointmethod). As every operational table (BL-tableau) corresponds to a basic line, itis so called. This algorithm is as easy as the simplex method for learning andoperating and faster than the simplex method to solve problem. It is a group ofmethod. Because of selecting pivot with different way we can obtain variant basicline method. In this paper, we give the idea of the basic line algorithm and discussthe best pivot method. Theoretically, this method is faster one degree of quantitythan the simplex method to solve problem. The basic line algorithm is a development of the simplex method (a basic pointmethod). As every operational table (BL-tableau) corresponds to a basic line, itis so called. This algorithm is as easy as the simplex method for learning andoperating and faster than the simplex method to solve problem. It is a group ofmethod. Because of selecting pivot with different way we can obtain variant basicline method. In this paper, we give the idea of the basic line algorithm and discussthe best pivot method. Theoretically, this method is faster one degree of quantitythan the simplex method to solve problem.
作者 阮国桢
机构地区 湘潭大学数学系
出处 《计算数学》 CSCD 北大核心 1999年第4期441-450,共10页 Mathematica Numerica Sinica
基金 湖南省自然科学基金!97JJN-065
关键词 线性规划 基点 基线 最好主元 算法 单纯形法 Linear programming, Co-optimal face, Basic point, Basicline, The best pivot
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