Chapter 345

The Impact of the Right-Handed Driving Scheme on the Safety of the Steering Wheel of Motor Vehicles

Mechanical Analysis of Right-hand Driving of High-speed Cars in China

Traffic Capacity Analysis of Two-lane Highway Based on Overtaking Behavior

............

Research on Highway Vehicle Equivalent Conversion Factor Based on Simulation Analysis

After searching the Internet for more than a dozen papers related to modeling topics, Cheng Nuo basically browsed through the lines at a glance.

Half an hour later, Cheng Nuo closed the webpage of the last paper, closed his eyes, and frowned slightly in thought.

This question may seem simple at first glance, but if you think about it, uh...... It's really not that hard!

But it's not so easy to stand out from the thousands of mathematical models submitted, so that the judges want to give you an O Award as soon as they see it.

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

Because there are no bright spots, and there are no new ideas.

Cheng Nuo was thinking.

He was thinking of a modeling solution that would secure their group with an O Award.

Time passes slowly.

Cheng Nuo supported his chin with one hand, and the ideas in his mind kept colliding fiercely.

The teammate next to me, who was in charge of programming, raised his wrist and looked at the time: 9:15.

The game has been played for one hour and fifteen minutes.

He glanced at the other teams in the computer room.

Most of the teams have already selected the topic and are in full swing to get to work.

On their side, Cheng Nuo, the main force, had been sitting for almost half an hour without moving.

He couldn't help but be a little anxious, "Cheng Nuo, don't you have any ideas?"

Isn't it said that Cheng Nuo is very cranky? But judging from today's performance, it is indeed a little unsatisfactory!

When it came to modeling, they were almost an hour behind the rest of the group.

Cheng Nuo's brows tightened again, "Give me time for another song." ”

"Tightly turn that hug into forever?" the man subconsciously continued.

I rub!

No, how did you fall into Cheng Nuo's rhythm.

Okay, then give you time to a song and see if you're as "wicked" as rumored.

Four minutes later, Cheng Nuo's slightly narrowed eyes opened in twilight.

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

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

He picked up the black carbon pen on his desk, sorted out his thoughts, and began the preliminary modeling work on the scratch paper.

After a lot of mental deduction, he decided to build a model based on metacellular automata and Monte Carlo methods to discuss the impact of the "right-handed" rule.

First of all, it is necessary to break the movement process of the car and establish the inflow model of the corresponding sub-model car-generation, and for the vehicle driving at a constant speed, it is necessary to establish a following model and an overtaking model.

To put it simply, it is necessary to build a model in three different situations to reflect the mathematical model of overtaking required in the problem.

The inflow model simulates a vehicle that immediately arrives at a highway intersection, and for each lane, the first six cells are set as a vehicle-generation region in the cellular automata.

Let's assume that the arrival of each vehicle obeys a binomial probability distribution, let ts denote the sampling time interval and N denote the total number of vehicles in ts time, and then N can approximate obey the Poisson probability distribution. Let Pt(N) represent the possibility of N, so that we have:

Pt(N)=λ^N/N!*e^(-λ)，N＞0

Following the model, in each cycle, based on the speed and position of each vehicle, the gap is calculated, and then the driving behavior is determined if the gap G is safe enough......

............

Because he had already "deduced" it in his mind, Cheng Nuo's thinking was very clear.

The inflow model, the following model, the overtaking model, and the three models, Cheng Nuo took less than two hours to complete the modeling through the formula.

Next, it's time to design rules to simulate the vehicle's motion model.

Cheng Nuo designed two sets of regular CA models.

One is the rule of driving on the right, and the other is the rule of driving without restrictions.

At the same time, a road hazard index evaluation formula is designed.

Hazard factor per unit time:

d=0，Gs-Gr﹤0

d=Gs-Gr，Gs-Gr≥0

At this point, the main work of modeling that Cheng Nuo is responsible for has been completed.

Looking at the time, it was only twelve o'clock in the afternoon.

As early as the moment Cheng Nuo built the inflow model, he sent the data to the teammate in the Planning Institute and asked him to start programming.

In terms of progress, at this point in time, he had only completed less than a third of his work when he participated in the national competition last time.

However, this time he was doing the work of three people by himself, and the progress was naturally slow.

Without time for lunch, Cheng Nuo worked out the distribution of acceleration and deceleration probabilities and the mechanism for avoiding collisions.

Finally, all the formulas and theories were sorted out and sent to each of the two teammates.

The teammate who was typing the code on the computer saw the QQ icon on the computer flash, and he subconsciously opened it and saw the document sent by Cheng Nuo.

File Name: Question A Modeling Formula (Full Version)

He turned his head to look at Cheng Nuo in surprise, his tone was not very sure, "Are you done?"

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

"This ......" for a while, teammates shouldn't say what is good.

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

"Bibimbap. ”

"Yellow stewed chicken. The two replied subconsciously.

Cheng Nuo nodded, "OK." ”

Looking at Cheng Nuo's fading back, the two glanced at each other and murmured softly, "The name of the demon." Sure enough!"

............

After lunch, Cheng Nuo, who finished his work, was bored, yawning while watching the two of them type code and code papers.

After watching it for a while, Cheng Nuo pondered in his heart.

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

Looks like he has to do something!

Cheng Nuo moved his chair, came to the side of his teammates, glanced at the screen, and said, "Where's the progress?"

"The inflow model is almost programmed. ”

"Well, I'll follow the model and the overtaking model, and you hurry up and design the two sets of sports models. Cheng Nuo spoke, his tone relaxed and casual.

"Well, what?!" the Calculation Institute teammates wondered if they had misheard.

Isn't programming my own task? Why did Cheng Nuo come over and intervene?

In addition, I also took over the work of two model programming at once.

He has spent more than five hours programming the "inflow model", so he naturally knows how complex these three models are to program.

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

Cheng Nuo smiled, revealing a row of neat white teeth, "Of course!"

............