基于Matlab的非线性规划问题的求解

摘要

Nonlinear programming is an important branch of operation research,and the theory and algorithm of nonlinear programming provide a powerful tool for the optimal design of engineering,management,economics,scientific research,military.The paper first introduces the basic concept of nonlinear programming and its general form,and focuses on solving algorithm and solving process of quadratic programming,general nonlinear programming and 0-1 nonlinear programming.Then simulation has been carried on under the Matlab R2012a environment.It can be found from the results that using the Matlab to solve nonlinear programming can simplify the calculation and improve the efficiency of calculation and the accuracy of the result greatly.%非线性规划问题是运筹学重要的分支,非线性规划理论及其算法为工程、管理、经济、科研、军事等方面的最优设计提供了有力的工具.论文首先介绍了非线性规划的基本概念和一般形式,并重点讨论了二次规划,一般非线性规划和0-1非线性规划的求解算法及求解过程.并在Matlab R2012a环境下进行仿真,通过结果可以发现,用Matlab求解非线性规划问题,大大简化计算、提高了计算效率和结果的准确性.