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对偶关系的进一步思考
引用本文:潘美芹,丁志军,韩耀军,傅军和.对偶关系的进一步思考[J].教育教学论坛,2019(13):213-214.
作者姓名:潘美芹  丁志军  韩耀军  傅军和
作者单位:1.上海外国语大学国际工商管理学院;2.同济大学电子与信息工程学院
基金项目:国家自然科学基金面上项目(61173042);上海外国语大学主干课程建设项目(KCXJ20140203)
摘    要:每个线性规划问题总有一个与它对应的对偶线性规划问题。基于对偶关系表,可以由原问题得出对偶问题,但由于变量、约束的复杂关系而使对应关系容易出错。为此,论文总结了"大约变,小约不变,变化仅一次,等号与无约束关联"的口诀,使得能准确无误地写出对偶问题。

关 键 词:原问题  对偶问题  对偶关系

A Rule of Dual Relation between Original Problem and Dual Problem
PAN Mei-qin,DING Zhi-jun,HAN Yao-jun,FU Jun-he.A Rule of Dual Relation between Original Problem and Dual Problem[J].jiaoyu jiaoxue luntan,2019(13):213-214.
Authors:PAN Mei-qin  DING Zhi-jun  HAN Yao-jun  FU Jun-he
Institution:(School of Business and Management,Shanghai International Studies University,Shanghai 200083,China;School of Electronics and Information Engineering,Tongji University,Shanghai 201804,China)
Abstract:There is always a dual linear programming problem corresponding to each linear programming problem.But it is very easy to get wrong dual problem because of the complicated relationship between variables and constraints.This paper proposes a rule that can help people to get the dual problem easily and correctly. The rule is,maximize-constraint-change, minimize-constraint-same, change is only one time, equal is associated with unconstrained.
Keywords:original problem  dual problem  dual relation
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