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用Bellman原理和不等式求一类非线性规划问题的解析解
引用本文:杨汉兴. 用Bellman原理和不等式求一类非线性规划问题的解析解[J]. 武汉科技大学学报(自然科学版), 1993, 0(1)
作者姓名:杨汉兴
作者单位:武汉钢铁学院管理工程系
摘    要:求非线性规划问题的解析解,一般采用分析法。但用这种方法求解时,最后归结为求解非线性方程组,这往往是困难的。本文探讨用Bellman原理和几种常用不等式求目标函数和约束条件中变量不可分离的非线性规划问题的解析解。


SOLVING A KIND OF NON-LINEAR PROGRAMMING PROBLEM BY INEQUALITIES AND BELLMAN PRINCIPLE
Yang Hanxing. SOLVING A KIND OF NON-LINEAR PROGRAMMING PROBLEM BY INEQUALITIES AND BELLMAN PRINCIPLE[J]. Journal of Wuhan University of Science and Technology(Natural Science Edition), 1993, 0(1)
Authors:Yang Hanxing
Affiliation:Yang Hanxing
Abstract:Analytical method is generally used to search analytical solution to non-linear program- ming problems.But the method proves difficult for it entail finding a solution to a set of simulta- neous nonlinear equations.This article presents a method to solve non-linear programming prob- lems with inseparable variables in objective function or constraint conditions by several well- known inequalities and Bellman principle.
Keywords:non-linear programming  Bellman principle  inequlity
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