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。
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.