[1] THE SCHOLAR ADVANCED TECHNOLOGY SYSTEM (END)

[1] THE SCHOLAR ADVANCED TECHNOLOGY SYSTEM (END)
Chapter 23: The Problem of Classical Business Modeling

...welcome to read...


Translator: Translated Henyee Editor: Translated Henyee


When Liu Xiangping saw the two people in the classroom, he smiled and said, “There are only two people here? I heard there was another one. "


"... I will call him and ask," Wang Xiaodong said. Embarrassed, he walked out with his phone.


The professor is in no hurry. He opened the vacuum tube and inhaled hot water. He then casually sat down next to Lu Zhou and asked with a smile, "What is the current situation on your team's configuration?"


Lu Zhou put down his phone and replied with a smile, "I'm responsible for building the model, Wang Xiaodong is responsible for programming it, and Lin Yuxiang is responsible for writing the thesis and presentation."


“Modeling, coding, and writing. Standard configuration I understand, ” said Professor Liu. He laughed and continued to say, “By the way, you're Lu Zhou's undergraduate student, right? I've read your thesis and it's very good. "


Lu Zhou's eyes twinkled, "Professor, you're in math?"


"You can say it, but I researched the physics side of things and I didn't publish much of a mathematical thesis" Liu said. As she squinted her eyes and looked at the classroom door, she said, "Your female teammate seems unreliable."


Lu Zhou felt awkward and could only smile out of courtesy.


Master Liu also smiled and left the matter alone. He paused before saying, “As for your team configuration, let me suggest some minor changes. Model-making and the thesis must be done by one person, two others must program the model. The advantage of this is that the person writing the model will have a solid understanding of the topic, and thus, the thesis writing process will be much smoother. Of course, the downside is that the person will be under a lot of pressure. The competition is only three days. This means that when the person finishes writing the model, he or she should immediately start writing the thesis. "


Lu Zhou asked thoughtfully, "Two people for coding?"


Master Liu sipped his tea and replied slowly, "That's right."


Lu Zhou laughed and did not give an answer yet, “I will think about it. Besides, I have to discuss this with my teammates. ”


At the same time, the sound of footsteps came from outside the corridor. The last teammate finally arrived.


"I'm sorry, I'm a little late. I'm really sorry! ”Say Lin Yuxiang as she walked to class with Wang Xiaodong. He looked at the professor with an apologetic expression.


"No problem. Since everyone is here, let's start, ” Professor Liu Xiangping said with a casual smile. He didn't blame her for being late. He turned around and walked to the podium, plugged the USB into the computer, turned on the projector, and took out his PowerPoint presentation.


“Before I present, I want to ask you first. This question is not very difficult in itself, but it is an example of a mathematical modeling question. I hope you can understand what mathematical modeling really is by doing this question. "


He pressed the mouse and played PowerPoint to the next page.


“Three businessmen, each carrying passengers on a boat to cross the river. The boat can only accommodate two people. The passengers secretly decided that if there were more passengers than businessmen on either side of the river, they would kill the businessmen. However, the method of taking a boat is determined by the entrepreneurs. Inquiries. How can a businessman cross the bridge safely? "


In reality, this question is not difficult at all.


Lu Zhou did not even use the power of the system to find an answer. He retaliated.


"First brother, two passengers left, one passenger returned."


"The second round, two passengers left again, one passenger returned."


"The third round, two businessmen left, one businessman and one passenger returned."


"Fourth round, two businessmen left, one passenger returned."


"Fifth round, two passengers left, one passenger returned."


"Sixth round, the last two passengers leave and they'll make it across the river!"


Clap the clap!


Lin Yuxiang started clapping with her small hands and her face was filled with an enchanted expression.


Wang Xiaodong's expression did not change in the slightest. He looks like a worldly man.


From his point of view, this question is not too difficult. Although he did not try to solve it himself, he believed that his IQ was high enough to solve it in the same amount of time.


"That's right," Professor Liu laughed. He continued to say, “Even without mathematical knowledge, this problem can be solved only by logical analysis. What if we expand this question to become an N entrepreneur? "


Lu Zhou thought seriously for a moment. He already had a general outline in his brain.


"Can I use the board?"


"Of course, you can," Professor Liu Xiangping said as he waved his hand as an invitation.


Lu Zhou walked up to the blackboard and started writing with chalk.


[Let the number of businessmen before crossing the river as Xk. Let the number of passengers be Yk. k \= 1, 2 ..., Xk. Yk \= 0, 1, 2, 3. Let vector two-dimensional Sk \= (Xk, Yk). The successful crossing conditions are recorded as S.]


Therefore S \= {(X, Y) | X \= 0, Y \= 0,1,2,3; X \= 3, Y \= 0,1,2,3; X \= Y \= 1,2}



The number of businessmen on the kth ferry is 2 Uk, and the number of followers is Vk. Two-dimensional vector Dk \= (Uk, Vk) is defined as a decision. Let the set decision be noted as D, known by the capacity of the ship: D \= {(U, V) | 1≤U + V≤V, U, V \= 0,1,2}



3 Combining the above conclusions, the legal variation of Sk state with Dk is: S (k + 1) \= Sk + (- 1) ^ k * Dk


]


"Excellent ..." gaped at Lin Yuxiang as he looked at the blackboard with a blank face. His mouth was slightly open. He watched Lu Zhou walk down the podium and he asked in surprise, "You don't even need to write down your calculations?"


"I can only count them in my head," Lu Zhou said with a laugh.


Wang Xiaodong remained silent.


From looking at his expression, the arrogant genius was completely convinced by Lu Zhou's mathematical ability.


Professor Liu looked at the stairs on the blackboard and nodded his head, “That's right! But from the perspective of a mathematical model, you only complete half of the work. After building the model, there is still one more step. Model implementation. Of course, this model is very simple and I believe that Student Wong can definitely use his programming skills to build this. We will not waste our precious time. ”


Wang Xiaodong pushed his glasses. His facial expression remained the same as it portrayed self-confidence.


Given that there was no chance for him to show off his programming skills, he was somewhat disappointed.


After a pause, Professor Liu continued to say, “Data modeling is actually a process of simplifying practical problems into problems that can be expressed in terms of data and simple sentences. Then, solve the problem through mathematical tools. ”


"So, the key is, what problem will your team solve?"


“Building models does not test your programming skills or your mathematical abilities. It actually tests your ability to translate real-life problems into data and find ways to solve them. You guys should remember this. ”


“As for building models, I don't have much advice. There are no shortcuts other than to practice and expand your knowledge. As for programming, I can give you some suggestions. "


“There are four types of commonly used software. Matlab, Mathematica, Lingo, and SAS. You do not need to master all of them but at least you have to master one of them. The key is to use the software that suits you to solve the actual problem, ” Professor Liu Xiangping said as he looked at Wang Xiaodong.


This was because he was mainly talking to her.


Wang Xiaodong pushed his glasses, nodded, and said, "I've used Matlab and SAS so there's no problem."


Professor Liu nodded, “Knowing both is enough. You guys have to learn this yourself. I'll only be able to help you when you're stuck. "


“The last point is about textbooks. I suggest you read some books on mathematical modeling such as Mathematical Models, Algorithms and Applications of Mathematical Modeling, and the Basics of Mathematical Modeling. "


“I still have some handouts and materials from the university. You can copy it and see it at home but don't forget to share it or upload it online. Be understood? ”


The three students replied at the same time: "Understood!"


Professor Liu laughed and said, “Alright, for today. I don't have much to say. It's all up to you now. Come download the material from me if you need it. When you are done, go and learn English. "


Seriate