线性规划在数学建模中的应用

线性规划 学术论文

线性规划在数学建模中的应用

摘要：

线性规划是运筹学中发展较快、应用广泛、方法较成熟的一个重要分支，它是辅助人们进行科学管理的一种数学方法。研究线性约束条件下线性目标函数的极值问题的数学理论和方法，英文缩写LP。它是运筹学的一个重要分支，广泛应用于军事作战、经济分析、经营管理和工程技术等方面。为合理地利用有限的人力、物力、财力等资源作出的最优决策，提供科学的依据。

本文在阅读了大量材料的基础上，集中体现了线性规划是如何应用到数学建模中去的。并且在利用数学建模的思想以线性规划为工具可以解决哪些实际问题，为我们的生活提供哪些便利。本文大体上可分为三章，第一章主要对线性规划和数学建模这两个理论做简要描述。并且叙述这两个理论的发展历程，以及研究的背景及意义。第二章主要介绍线性规划在数学建模中的应用，其中包括现在性规划在物流运输中的应用，线性规划在经济生活中的应用，以及线性规划在现代管理中的应用，并且配备了相应的例子。第三章主要讨论线性规划在实际应用方面应注意哪些细节，并对第二章的数学模型进行优化，以及对最优解方面的讨论。 关键词：线性规划 数学模型 物流运输 经济生活 现代管理

Abstract:

Linear programming is developed rapidly and widely applied in operational research, the method is an important branch of mature, it is one of the scientific management of auxiliary people mathematical method. Study of linear objective function under the linear constraint condition extremum problems of mathematics theory and method of LP abbreviations. It is an important branch of operational research, widely used in military, economic analysis, management and engineering technology, etc. For reasonable use of the limited manpower and material resources, financial resources and other resources to make the optimal decision, provide the scientific basis.

In this paper, on the basis of reading a lot of material, how concentrated the linear programming is applied to the mathematical modeling. And in using the ideas of mathematical modeling by means of linear programming can solve practical problems, which provide which is convenient for our life. The article in general can be divided into three chapters, the first chapter mainly on linear programming and mathematical modeling the two theories are described briefly. And the development of the two theories, as well as the research background and significance. The second chapter mainly introduces the application of linear programming in mathematical modeling, including the planning in the application of logistics transportation, now the application of linear programming in economic life, as well as the application of linear programming in the modern management, and equipped with corresponding examples. The third chapter mainly discuss details which should be paid attention to in practical application of linear programming, and optimize the mathematical model of the second chapter, and the optimal solution for the discussion.

Keywords: Linear programming Mathematical model Logistics transportation The economic life Modern management