| 线性规划问题无穷多个最优解的探讨 |
| |
| 引用本文： | 申红莲, 杨静,.线性规划问题无穷多个最优解的探讨[J].重庆工商大学学报(自然科学版),2010,27(1):39-41. |
| |
| 作者姓名： | 申红莲 杨静 |
| |
| 作者单位： | 1. 衡水学院数计学院,河北衡水,053000
2. 唐山职业技术学院文法系,河北唐山,063000 |
| |
| 基金项目： | 衡水学院2009年度校级青年专项课题 |
| |
| 摘 要： | 无穷多个最优解的存在对于实际问题可以提供多种解决方法.从两个变量存在多个最优解,多个变量的线性规划问题中存在某个非基变量的检验数为0,而且对应的列向量中有正分量,以及列向量中只含有非负分量这三个方面对存在多个最优解的情况进行了归纳、总结和证明,可为线性规划的教学起到一定的借鉴作用.
|
| 关 键 词： | 线性规划 最优解 教学 |
Discussion on infinite optimal solutions of linear programming |
| |
| SHEN Hong-lian,YANG Jing.Discussion on infinite optimal solutions of linear programming[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2010,27(1):39-41. |
| |
| Authors: | SHEN Hong-lian YANG Jing |
| |
| Institution: | SHEN Hong-lian1,YANG Jing2(1.School of Mathematics , Computer,College of Hengshui,Hebei Hengshui 053000,China,2.Literature , Law Department,College of Tangshan Professional Technology,Hebei Tangshan 063000,China) |
| |
| Abstract: | The infinite many optimal solution's existence may provide many kinds of solutions regarding the actual problem.This article carried on the induction,the summary and the proof from 3 aspects: two variables have many optimal solutions;the test number of one non-base variable is 0 in linear programming of many variables and the corresponding row vector which has some negative components only includes the nonnegative components.It might play the role in the linear programming teaching. |
| |
| Keywords: | linear programming optimal solution teaching |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
|
