"杨振华南邮最优化方法课件2021:线性规划与约束问题概述"

需积分: 0 1 下载量 132 浏览量 更新于2024-03-20 收藏 924KB PDF 举报
杨振华教授于2012年制作的最优化方法课件共分为四个章节。第一章为最优化问题概述,介绍了最优化问题的数学模型与基本概念,包括生产销售平衡下的运输问题。这一章以运输问题为例,讨论了如何设计调运方案以最大限度地节约总运费。第二章为线性规划,介绍了如何应用线性规划方法解决最优化问题,包括线性规划的基本原理和应用。第三章是无约束最优化方法,介绍了在没有约束条件下如何寻找函数的最优解,包括一些基本的无约束最优化方法。第四章是约束最优化方法,介绍了在有约束条件下如何寻找函数的最优解,包括一些基本的约束最优化方法。这四个章节全面而深入地介绍了最优化方法的基本概念和应用,为学习者提供了较为系统的知识体系。通过学习这些内容,学生可以更好地理解并应用最优化方法解决实际问题。Yang Zhenhua's Optimization Method courseware in 2012 is divided into four chapters. Chapter 1 is an overview of optimization problems, introducing the mathematical models and basic concepts of optimization problems, including the transportation problem under the balance of production and sales. This chapter discusses how to design a transportation plan to minimize total transportation costs while meeting the demand satisfactorily. Chapter 2 is Linear Programming, introducing how to apply linear programming methods to solve optimization problems, including the basic principles and applications of linear programming. Chapter 3 is Unconstrained Optimization Methods, introducing how to find the optimal solution of a function without constraints, including some basic unconstrained optimization methods. Chapter 4 is Constrained Optimization Methods, introducing how to find the optimal solution of a function with constraints, including some basic constrained optimization methods. These four chapters comprehensively and in-depthly introduce the basic concepts and applications of optimization methods, providing learners with a relatively systematic knowledge system. By studying these contents, students can better understand and apply optimization methods to solve practical problems.