Chapter 342 (1/2)
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.