The Application of Optimization Model in Mathematical Modeling

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.