优化模型在数学建模中的应用

The Application of Optimization Model in Mathematical Modeling

在当今社会,数学建模因其应用的广泛性,受到人们越来越多的关注,而优化模型是其中最常用的模型之一。该文首先简要介绍了优化模型的3要素、一般建立步骤及分类;然后根据分类标准,整理了2000年至今的数学建模国赛中应用优化模型的题目;重点根据决策变量、目标函数的分类标准,分析了应用整数规划、动态规划及多目标规划的部分国赛题目,并给出了具体的优化模型范例。该文还介绍了最优化模型的解法,并总结了优化模型在数学建模中应用的重要性。

Mathematical modeling is gaining more and more attention because of its extensive application. The optimization model is one of the most commonly used models. Firstly, this paper introduces the three elements of the optimization model, the general establishment of steps and classifications. Then, according to the classification criteria, this paper lists several subjects using the optimization model from Contemporary Undergraduate Mathematical Contest in Modeling since 2000. According to the classification standard of decision variables and objective functions, the subject of application of integer programming, dynamic programming and multi - objective programming are analyzed and a specific example of them is given. At the same time, the solution of the optimization model is simply introduced. Finally, we summarized up the application of optimization model in mathematical modeling.