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二维线性规划问题的非数值算法
引用本文:周培德.二维线性规划问题的非数值算法[J].北京理工大学学报,1996,16(6):665-670.
作者姓名:周培德
作者单位:北京理工大学计算机科学与工程系
摘    要:提出了一种求解二维线性规划问题的非数值算法,其基本思想是采用分治法,依据直线的斜度及在x和y轴上截距将约束条件分成不同的类,删去多余的约束条件,从而达到简化计算的目的。

关 键 词:线性规划  非数值算法  分治法  复杂性

An Non-Numerical Algorithm in Two-Dimensional Linear Programming
Zhou Peide.An Non-Numerical Algorithm in Two-Dimensional Linear Programming[J].Journal of Beijing Institute of Technology(Natural Science Edition),1996,16(6):665-670.
Authors:Zhou Peide
Abstract:Presents on non-numerical algorithm for solving 2-dimensional linear programming problems with its basic idea in divide-and-conquer. It can divide the astriction condition into different dasses according to the straight slope and the truncated distance on the x and y-axis, and then remove the redundant redundant restrictive conditions such that the computation is much simplified . This algorithm requiresO(n2) comparisons and O(n2) arithmetic operations.
Keywords:linear program  non-numerical algorithm  divide-and-conquer  complexity of algorithm
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