I. Introduction
First of all, one thing is that there is no shortcut to winning prizes in mathematical modeling competitions, but the experience of those who have come here is very necessary for reference. In the digital-analog competition, experience will tell us how to choose topics, how to arrange time, how to control the progress, know what is the most important, how to write papers... Maybe some people think that topic selection also requires experience ? After participating in many competitions, I feel that I have skills. If you choose a good topic, you will have a much higher chance of success. You can’t just choose a topic based on your own interests or abilities, but also interact with all participating teams (this Just kidding, it is not easy to do, it can only be done in a very small range), after analyzing the pros and cons of choosing this question, decide which question to choose, there are many ways in it, and I will talk about it in detail later.
2. Team formation and division of labor
The Mathematical Modeling Contest is an activity for three people. Participating in the competition is mainly to form a team, and how to form a team is particular. In addition, there is a need for division of labor, etc. The general situation of team formation is to form a team with classmates. In many cases, three people are from the same department, the same major, and the same class. Such a team formation is unreasonable. Letting a group of three people participate is to cultivate the spirit of cooperation. In fact, the more important reason is that this work requires the cooperation of many people, because people are not omnipotent, and knowledge is not comprehensive. Online also exists, everything can be done, and the competition can be done by one person alone. But since three people are allowed to form a team, it is always good to have someone to help, at least not too tired. And if three people are in the same major or even the same class, everyone has the same professional knowledge. If they encounter backgrounds other than professional knowledge, it will be more troublesome. So it would be much more beneficial to form a team of different professions.
As we all know, mathematical modeling particularly requires the ability of mathematics and computers, so when forming a team, it is necessary to give priority to those who have this ability in the team. According to the current university majors to cultivate information and computing science, it is more beneficial for those majoring in applied mathematics, especially Information and Computing Science can be said to be a combination of mathematics and computer science. Both aspects are considered. Although the future of this major is not very good, mathematics and computing are involved, but there is no real master of these two majors. But it is perfect for doing mathematical modeling. Applied Mathematics focuses on numbers, but generally speaking, you don’t spend too much time playing with computers, especially in scientific computing and programming, and you have a solid foundation in mathematics, which is also a good choice.
Many people think that the first candidate is mathematics, and the second candidate should consider computers, because those who study computers can program. In fact, this concept can be said to be right or wrong. The reason why computer professionals are needed is to make up for the lack of mathematics professionals in algorithm practice, but not all computer professionals are good at algorithm practice. If you want to choose, choose someone who is good at algorithm analysis practice, because learning computer Those who know the program do not necessarily know the program, and those who know the program do not necessarily know the algorithm. Come up with an algorithm, so that students who study computers may not be able to write programs in practice. This is not to underestimate computers. good. Therefore, we must clarify this concept, and it is not suitable for computers.
Therefore, two kinds of people are necessary in the team. One is very familiar with modeling and various algorithm theories. After understanding the background, they can build models and design solving algorithms for various problems in this background. One is to be able to implement the algorithm programming and obtain the solution. Of course, it is possible that one person has both of these two abilities. In this case, it is enough to find another person who has the above two abilities to reduce the workload, otherwise he will be exhausted. The third one is those who need writing. From a professional point of view, they need other majors, such as biology, civil engineering, electromechanical, telecommunications, or machinery. Problems of various backgrounds will appear in mathematical modeling, so students from other majors can make up for the lack of professional knowledge.
To sum up, the team must be formed according to the division of labor. Three people must have a solid foundation in mathematics and solid theory, one is good at algorithm practice, and the other is writing (to make up for the lack of professional knowledge). If a team can have such personnel The configuration is more reasonable. But often everything goes wrong, so when you can't meet this kind of staffing, try to rely on this kind of staffing.
3. Topics
The national competition is divided into undergraduate group and junior college group. Each group has two questions, A and B. A is continuous and B is discrete. As far as I am concerned, there are only two types: operational research optimization and non-operational research optimization. As long as the meaning of the operational research optimization question is understood correctly, the model is correct, it can be solved normally, and there are reference answers, as long as the solution is near the reference answer, you can basically win the prize. But for non-operational research and optimization, it is much more troublesome. There are all kinds of problems, and some of them are very difficult to start with. Generally speaking, there are no reference answers. As long as you have ideas and methods, you will get good results. So generally speaking, when the optimization problem is simple, there are more people doing optimization than non-optimization. But when it comes to more complicated things, it has to be reversed. As far as the number of winners is concerned, the number of winners at each level of the two questions of A and B is similar. At this time, if the number of people doing A is small, the winning rate will be much higher. Choose the question with a relatively small number of people to do it, and when the number of people who choose a question is relatively average, choose the one you are good at. Of course, it is impossible to know the ratio of this topic selection, so it is necessary to achieve small-scale interaction. Since the evaluation is in the competition area at the beginning, it is necessary to interact in a small range. Try to be average in your own school. Otherwise, it is killing each other :). In the US competition, there are two types of MCM and ICM. MCM is A and B, and ICM is C. The logarithm of participating in the competition is gradually increasing every year, and the growth rate is quite fast. The winning rate is changing every year, but overall, the winning rate of ICM is much higher than that of MCM, so generally speaking, the winning rate of choosing C is 50% higher than that of A and B. This is talking about utilitarianism, but since you are going to participate in a competition, you are going to win prizes, not the time to talk about style. It's time to see the red and see the real chapter. And this is also in line with the optimization principle, the success rate is optimized, huh, huh. But it should be noted that the selected questions must be guaranteed to be solved, otherwise it is difficult to guarantee a successful entry award. It should also be noted that what seems easy to start is not necessarily easy to do. Generally, it is difficult to go deep after reaching a certain place. A large part of operational research optimization belongs to this category. And once a breakthrough is found for a topic that seems impossible to start with, it will be a paradise, and there are many things to do. Therefore, you must be cautious when choosing a topic. First, understand the meaning of the topic thoroughly, and then choose a topic that is most conducive to your own award in the interactive situation according to your own advantages and abilities.
4. Thesis writing
The thesis is the last link in modeling and the most critical link. If this link is done well, it will be complete, and if it is messed up, all efforts will be wasted. Introduces the technique of writing a thesis. Abstracts are very important in any paper, especially in the national and American competitions. Both organizing committees have pointed out the importance of abstracts and repeatedly reminded participants to pay attention to abstracts. You should know that the first round of both the national competition and the American competition depends on the summary screening. You may still be able to see it in the national competition, but in the American competition, as long as you pass the screening of abstracts in the first round, you can win the second prize. In the writing of the abstract, it must take more than 3 hours, repeated revisions, revisions, revisions, revisions, and more than 10 drafts to pass. In the abstract, it is necessary to highlight methods, algorithms, conclusions, innovations, and features. There should be no nonsense, and the key points must be highlighted. What effects have been obtained, what innovations and features are there. It must be sharp, every word is pearly, sparkling, and you will be attracted at first glance. Such a summary is successful.
Attached is the experience sharing of mathematical modeling writing and typesetting:
Link: https://pan.baidu.com/s/10hJMmLw8pQ5r3csnnySH-g?pwd=msy3
Extraction code: msy3
The main part of the thesis also needs to be revised and revised again. Of course, the requirements for the main part are not as demanding as the abstract, but it must not be sloppy. Anyone who uses a computer knows that it is easy to make typos. This is all caused by QQ or MSN. ", sometimes for the sake of convenience, typos are flying all over the sky without affecting understanding, so it is inevitable to unconsciously type typos when writing a thesis. Therefore, the first thing is to find typos, and the second is to modify sentences. Students of science and engineering are well-known in literature. After college, there are no literature classes, and they do not read literary publications. Some study science and engineering just to avoid Chinese. In class, the written things are dry, except for nouns and verbs, there is nothing, and it is rare to see an adjective. Therefore, it is very important to modify the sentence, it must be fluent, and it doesn't matter what the literary talent is. In addition, the logic must be clear. If the logic is confused, it will be a big embarrassment. Mathematics skills must be reflected in writing papers, and the writing must be in line with mathematical habits. Almost all the reviewers are mathematicians, most of them are professors, and it is easy to tell whether they have mathematical skills. In fact, this is the same for us. The imprint of the Department of Mathematics. By the way, Matlab is the most important for programming, because the judges generally like the programs written in Matlab. Although they don’t read it, even if they do, they can’t understand it, but it’s never wrong to try to cater to them. Furthermore, using matlab to write mathematical programs is generally the first choice and favorite of digital models.
References are always required when writing a thesis, so the literature must be sorted out and arranged in the order of the references first to avoid confusion. Once it is messed up, it will be troublesome and painful. And you must indicate where you quote others. This is the most basic integrity issue. It doesn’t matter how much you quote from others. Don’t think that this is plagiarism. As long as it is marked, it is not plagiarism. It's really plagiarism, huh, huh. In the writing of a thesis, we must pay attention to the places where diagrams can be used to express them as much as possible. Diagrams are more clear and direct than words. A diagram can often replace a long paragraph of dry text. And how cool it is to combine pictures and texts. You must know that most of the professors are not young. For the eyes of the professors, it is definitely the best choice to use more diagrams to relieve their suffering from the text. At the same time, it is also a good choice for laziness and adding color to the paper. It should be noted that the citations of diagrams must be standardized, and you must be careful when cross-referencing, otherwise it will be troublesome. If you use word to write, I strongly recommend reading "Word Typesetting Art" written by Hou Jie Daniel. I won't introduce this book in detail, but it will come out after searching. I used it to solve the competition paper, which is very good.
Let’s summarize here first, and attach more practical experience sharing:
Link: https://pan.baidu.com/s/19ZqTFYQZH5zUIpZowcR5Bg
Extraction code: gopt
Mathematical modeling 30+ commonly used algorithm models and case code sharing
Link: https://pan.baidu.com/s/1Pg_PgPJ8-EJ0RMjZ6_dF3Q?pwd=fid3
Extraction code: fid3
Link: https://pan.baidu.com/s/10hJMmLw8pQ5r3csnnySH-g?pwd=msy3
Extraction code: msy3
Link: https://pan.baidu.com/s/19ZqTFYQZH5zUIpZowcR5Bg
Extraction code: gopt