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有理系数整数线性规划的模式化算法
引用本文:龚金双 李宗元. 有理系数整数线性规划的模式化算法[J]. 北京科技大学学报, 1991, 13(4): 393-398
作者姓名:龚金双 李宗元
作者单位:北京石油管理学院(龚金双),北京科技大学数力系(李宗元)
摘    要:

关 键 词:整数线性规划 模式化 自然割平面

The Modelling Algorithm of Solving Integer Linear Programming of the Rational Coefficients
Gong Jinshuang Li Zongyuan Peprment Of Mathematics and Mechanics. The Modelling Algorithm of Solving Integer Linear Programming of the Rational Coefficients[J]. Journal of University of Science and Technology Beijing, 1991, 13(4): 393-398
Authors:Gong Jinshuang Li Zongyuan Peprment Of Mathematics and Mechanics
Affiliation:Gong Jinshuang Li Zongyuan Peprment Of Mathematics and Mechanics
Abstract:A new algorithm of solving integer linear programming is introduced in which the coefficients of the objective function are rational. This algorithm is called the modelling algorithm. In this algorithm, first of all, it can transform (ILP) into a special programming, then solve the special programming using a kind of special algorithm. The basic ideas of the algorithm is due to concentrating of the brance-bound and the cutting-plane, but it decreases the number of the branch and simplifies the technique of the cutting-plane.
Keywords:integer linear programming   modelling algorithm   natural cutting-plane
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