1. Introduction to Mathematical Modeling
Mathematical modeling is the process of using mathematical methods and techniques to solve practical problems. It transforms real-world problems into mathematical models, and describes and analyzes various relationships and laws of practical problems by establishing appropriate assumptions and mathematical equations. To put it simply, it is to use mathematical knowledge to establish a mathematical model, and then use programming language to solve practical problems, and finally complete a mathematical modeling paper. The general process of mathematical modeling is as follows:
2. Commonly used models and algorithms in mathematical modeling
The mathematical model used in the mathematical modeling process can be a new model established according to the problem, or it can be improved by using the existing mathematical model to solve the problem. It can be roughly divided into the following types:
- evaluation model
Entropy weight method, TOPSIS method, AHP, principal component analysis, factor analysis, data envelopment analysis, etc.
- classification model
System clustering, k-means clustering, hierarchical clustering, discriminant analysis, machine learning classification models, etc.
- predictive model
Fitting model, gray forecasting model, Markov forecasting model, time series forecasting model, machine learning regression model
- optimization model
Linear programming, nonlinear programming, integer programming, goal programming, dynamic programming, graph theory, intelligent optimization algorithms, etc.
- other models
Differential equation model, statistical analysis model, Monte Carlo simulation, queuing theory, etc.
3. Mathematical modeling competition
In addition to the well-known national competition, American competition, and research competition, there are many other XX cup competitions, such as Mother Cup, Electrician Cup, Wu Cup, Huazhong Cup, Huadong Cup and so on. Of course, the endless emergence of mathematical modeling competitions has also led to uneven competitions, but they can be roughly divided into the following categories according to the gold content and types of competitions:
the first sort:
National Competition (Higher Education Society Cup National Undergraduate Mathematical Contest in Modeling), Research Competition (Huawei Cup Graduate Mathematical Contest in Modeling), American Competition (American College Student Mathematical Contest in Modeling)
The second category:
Mathematical modeling competitions such as Shenzhen Cup, Electrician Cup, Wuyi Cup, Mom Cup, Huashu Cup, Huadong Cup, Huazhong Cup, Asia Pacific Cup, and Shuwei Cup
The third category:
Data modeling competitions such as National College Student Data Statistics and Analysis Competition, Teddy Cup Data Mining Challenge, MathorCup Big Data Competition
The following table lists some basic information about mathematical modeling-related competitions, including competition time, registration fee, and whether cross-schools are allowed, etc. The competition time is not exactly the same every year, but it is almost in the same time period, so the competition time in the table below is for reference only. Interested students can log on to the official website to view specific information about each competition.
| game name |
Competing time |
registery fee |
Is it possible to cross schools |
| Higher Education Society Cup National Undergraduate Mathematical Contest in Modeling |
mid september |
200 |
no |
| American Collegiate Mathematical Contest in Modeling |
2.18~2.22 |
810 |
no |
| China Postgraduate Mathematical Contest in Modeling |
late september |
300 |
no |
| MathorCup Cup University Mathematical Modeling Challenge |
4.14~4.18 |
200 |
no |
| Electrician Cup National Undergraduate Mathematical Contest in Modeling |
5．28~5.31 |
free |
no |
| Huazhong Cup College Students Mathematical Contest in Modeling |
4.30~5.3 |
150 |
no |
| East China Cup Undergraduate Mathematical Contest in Modeling |
4.30~5.4 |
free |
no |
| May 1 Mathematical Contest in Modeling |
5.1~5.4 |
free |
no |
| Yangtze River Delta Mathematical Contest in Modeling |
5.20~5.24 |
200 |
no |
| Shuwei Cup Mathematical Contest in Modeling for College Students |
5.27~5.30 |
100 |
no |
| Teddy Cup Data Mining Challenge |
4.16~4.29 |
free |
no |
| China Youth Cup Mathematical Contest in Modeling |
5.19~5.22 |
100 |
yes |
| Shenzhen Cup Mathematical Contest in Modeling |
7.15~9.10 |
free |
no |
| Huashu Cup National Undergraduate Mathematical Contest in Modeling |
8.5~8.8 |
100 |
no |
| APMCM Asia-Pacific College Students Mathematical Contest in Modeling |
11.15~11.29 |
100 |
yes |
| Certification Cup Mathematical Modeling (Stage 1) |
4.8~4.11 |
100 |
no |
| Certification Cup Mathematical Modeling (Phase 2) |
5.13~5.16 |
100 |
no |
For more content, please go to the official account at the end of the article.