Chapter 342

Chapter 345

analysis of the capacity of two lane highway based on Overtaking Behavior

Research on equivalent conversion coefficient of highway vehicles based on simulation analysis

searched more than ten papers related to modeling topics on the Internet, and Cheng Nuo basically browsed at a glance.

Half an hour later, Cheng Nuo closed his last paper page, closed his eyes and thought with a slight frown.

At first glance, this topic seems simple, but after careful consideration, er It's not too hard!

But it's not so easy to be unique among the thousands of mathematical models submitted, so that the judges will give you an o prize as soon as they see it.

In fact, when browsing the paper just now, Cheng Nuo had no less than ten modeling schemes in mind, but he was not very satisfied.

Because there are no bright spots and no new ideas.

Cheng Nuo is thinking.

He was thinking about a modeling solution that would give his group a steady o prize.

Time goes by slowly.

Cheng Nuo is holding his chin with one hand, and his mind is in constant fierce collision.

Next to the team in charge of programming raised his wrist and looked at the time: 9:15.

The match time has been one hour and fifteen minutes.

He glanced at the other teams in the computer room.

Most of the teams have finished the topic selection and started to work with enthusiasm.

On their side, Cheng Nuo, the main force, has been sitting idle for almost half an hour without moving a word.

He can't help but be anxious, "Cheng Nuo, have no idea yet?"

Isn't Cheng Nuo a crook? But judging from today's performance, it's really unsatisfactory!

In modeling alone, they are almost an hour behind the other teams.

Cheng Nuo eyebrows tight again, "give me another song time."

"Make that embrace forever?" The man subconsciously took over.

I wipe!

No, how did you fall into the rhythm of Cheng Nuo.

Well, I'll give you a song time to see if you are as "evil" as the rumor has it.

Four minutes later, Cheng Nuo's eyes opened in the evening.

In my eyes, there seems to be a string of data flowing.

Well, the "road" he wanted has been found.

He picked up the black carbon pen on the desk, sorted out his ideas, and started the preliminary modeling work on the draft paper.

After reasoning in his mind, he decided to use the method of cellular automata and Monte Carlo to establish a model to discuss the influence of the "right-hand" rule.

First of all, it is necessary to break the motion process of the car and establish the inflow model of the corresponding sub model car generation.

In short, it is necessary to build three models in different situations to reflect the overtaking mathematical model required in the title.

For each lane, the first six cells are set as vehicle generation region in cellular automata.

We assume that the arrival of each vehicle follows the binomial probability distribution, let TS denote the sampling interval and N denote the total number of vehicles in TS time, and then n can approximately obey the Poisson probability distribution. Let Pt (n) denote the possibility of N, then:

Pt (n) = λ ^ NN! * e ^ (- λ), n > 0

follow the model, calculate the gap according to the speed and position of each vehicle in each cycle, and then determine the driving behavior. If the gap G is safe enough

…………

As long as in the mind "deduction" again, Cheng Nuo's thinking is very clear.

It took Cheng Nuo two hours to complete the modeling of inflow model, follow model, overtaking model and three models.

The next step is to design rules to simulate the motion model of the vehicle.

Cheng Nuo designed two sets of regular CA models.

One is the rule of driving on the right, the other is the rule of unlimited driving.

At the same time, an evaluation formula of road risk index is designed.

The risk coefficient in unit time:

d = 0, GS GR < 0

d = GS GR, GS gr ≥ 0

so far, the main work of Cheng Nuo's modeling has been completed.

Looking at the time, it's only 12:00 at noon.

As early as the moment when Cheng Nuo built the inflow model, he sent the data to the team member of the Institute and asked him to start programming.

In terms of progress, at this time point, he finished less than one third of his work when he participated in the national games last time.However, at that time, he did three people's work alone, and the progress was naturally slow.

Having no time to eat lunch, Cheng Nuo worked out the distribution of acceleration and deceleration probability and the mechanism of collision avoidance.

Finally, all the formula theory will be sorted out and distributed to two team-mates, one for each.

Is the computer tapping code that the Institute of planning team-mates saw the computer QQ icon flash, he subconsciously opened, will see the file sent by Cheng Nuo.

File name: problem a modeling formula (full version)

he turned his head and looked at Cheng Nuo in surprise. His tone was not sure, "are you finished?"

Cheng Nuo unscrewed a bottle of mineral water and shrugged with a smile, "well, it's easy."

"This..." For a moment, teammates shouldn't say what's good.

Cheng Nuo got up from his seat and said with a smile, "I'm going to the canteen. Do you want to bring lunch?"

"Barbecue bibimbap."

"Braised chicken." They subconsciously replied.

Cheng Nuo nodded, "OK."

Looking at Cheng Nuo's back, they looked at each other and murmured softly, "the name of the demon.". It's true

…………

After lunch, Cheng Nuo, who finished his work, was bored. He yawned and watched the two of them Typing Code and writing papers at the same time.

After watching for a while, Cheng Nuo ponders.

At the speed of two people, if you want to finish it, at least it will be tomorrow morning. But he said that he would finish the competition one day and then work with Professor Fang to sort out the BSD conjecture paper.

It seems that I have to do something!

Cheng Nuo moved the chair, came to the design institute teammates, glanced at the screen, opened, "where is the progress?"

"The inflow model is almost programmed."

"Well, I'll do the following and overtaking models. You can design the two sets of sports models as soon as possible." Cheng Nuo opens his mouth with a relaxed and casual tone.

"Well, what?" My team-mates doubted whether they had heard the wrong words.

Isn't programming your own task? How can Cheng Nuo come and intervene.

In addition, I also took charge of two model programming work.

He has spent more than five hours programming "inflow model". Naturally, he knows how complicated these three models are.

He glanced up and down at Cheng Nuo, "are you sure?"

Cheng Nuo a smile, exposed a row of neat white teeth, "of course!"

…………

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