基于Matlab和Lingo的线性规划问题求解过程对比分析

Analysis and Comparison of Solving Process of Linear Programming Based on Matlab and Lingo

在日常生活中,为了取得最大化的利益,经常会需要利用现有的资源条件进行科学适当的安排,这就离不开数学规划,即从基础的应用数学角度进行分析问题,依据数字来判断最佳方案。其中最重要的就是数学建模,是属优化管理模型的一种,最为常见的就是利用线性规划的手段进行构建,而Matlab和Lingo同作为可用于数值计算分析的软件,在进行线性规划问题求解时都有着重要的应用。本文主要就线性规划与非线性规划问题进行分析讨论,并利用Matlab和Lingo进行求解,分析两款软件的计算过程,并做出总结。

In daily life, in order to maximize the benefits, often need to use the existing resource conditions for scientific and appropriate arrangements, which is inseparable from mathematical programming, namely from the basic applied mathematics perspective to analyze the problem, according to the number to judge the best plan.Among them, the most important one is mathematical modeling, which is a kind of optimal management model. The most common one is to construct by means of linear programming. Matlab and Lingo, both of which can be used for numerical calculation and analysis, have important applications in solving linear programming problems.This paper mainly analyzes and discusses the problems of linear programming and nonlinear programming, and USES Matlab and Lingo to solve them, analyzes the calculation process of the two software, and makes a summary.