📄 the fundamental diagram of ns model with open conditions.cpp
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// the fundamental diagram of NS model with open conditions.cpp
#include "stdafx.h"
#include"stdafx.h"
#include<iostream>
#include<stdlib.h>
#include <time.h>
using namespace std;
int x[2000],i,v[2000],gap[2000],V=4,x1[2000],v1[2000],sum=0;
double p2=0,g;
int rule(int l,int m);
int Max(int a,int b);
int Min(int d,int e);
int _tmain(int argc, _TCHAR* argv[])
{
int L,j,flg,time_steps,t,c[2000],q,h,N,V1;
double p1,p_injection,p_extinction,p_each_step,p_steps,p_each_step_average,p_total=0,p_average;
float V2,V3=0,V4,V_total=0,V_average,J;
cout<<"Please enter the number of sites L: "<<endl;
cin>>L;
cout<<"Please enter the density of cars per site p1: "<<endl;
cin>>p1;
cout<<"Please enter the maximum of velocity V: "<<endl;
cin>>V;
// cout<<"Please enter the stochastic braking probability p2: "<<endl;
// cin>>p2;
// cout<<"Please enter the injection rate p_injection: "<<endl;
// cin>>p_injection;
cout<<"Please enter the extinction rate p_extinction: "<<endl;
cin>>p_extinction;
cout<<"Please enter the time_steps: "<<endl;
cin>>time_steps;
cout<<"Please enter t: "<<endl;
cin>>t;
cout<<"Please enter the number of samples N: "<<endl;
cin>>N;
srand( (unsigned)time( NULL ) );
// while(V<=10)
while(p2<=0.88)
{
cout<<"P="<<p2<<endl;
p_injection=0.05;
while(p_injection<=1.01)
// p_extinction=0.05;
// while(p_extinction<=1.01)
{
cout<<"p_injection="<<p_injection<<" ";
// cout<<"p_extinction="<<p_extinction<<" ";
p_total=0;
V_total=0;
for(h=1;h<=N;h++)
{
for(i=0;i<=L;i++)
{
c[i]=0;
}
for(i=0;i<int(L*p1);i++)
{
q=int((float)rand()/(float)RAND_MAX*(L-1)+1); //随机产生一个从1到L的数;
if(c[q]==0)
c[q]=1;
else
i=i-1;
}
sum=0;
if((float)rand()/(float)RAND_MAX<=p_injection)
{
c[0]=1;
sum=sum+1;
v[sum]=V;
x[sum]=0;
} //在格点i=0处以p_injection概率随机注入一辆v=V的车;
for(i=1;i<=L;i++)
{
if(c[i]==1)
{
sum=sum+1;
x[sum]=i;
v[sum]=0;
//cout<<v[sum];
}
//else
//cout<<".";
}
/* if(c[0]==1)
cout<<"sum="<<sum-1;
else
cout<<"sum="<<sum;
cout<<endl;*/
//输出t=0时步的构形;
for(i=1;i<=sum;i++)
{
x1[i]=x[i];
v1[i]=v[i];
}
p_steps=0;
V3=0;
for(int k=1;k<time_steps;k++)
{
for(i=1;i<=sum;i++)
{
if(i==sum)
{
if((float)rand()/(float)RAND_MAX<=(1-p_extinction))//在格点i=L+1处以1-p_extinction的概率产生一辆堵塞车;
gap[i]=L+1-x1[i]-1;
else
gap[i]=V;
}
else
gap[i]=x1[i+1]-x1[i]-1;
}
for(i=1;i<=sum;i++)
{
rule(v1[i],gap[i]);
}
for(i=sum;i>=1;i--)
{
x[i]=x[i]+v[i];
if(x[i]>L)
sum=sum-1; // 以p_extinction的概率消失一辆车;
}
if(x[1]==0)
{
for(i=1;i<sum;i++)
{
x[i]=x[i+1];
v[i]=v[i+1];
}
sum=sum-1; //如果入射车在下一时步的速度为零,那么这辆车被删除;
}
for(i=1;i<=L;i++)
{
flg=0;
for(j=1;j<=sum;j++)
{
if(i==x[j])
{
c[i]=1;
flg=1;
}
}
if(flg==0)
{
c[i]=0;
}
}
for(i=1;i<=sum;i++)
{
x1[i]=x[i];
v1[i]=v[i];
}
sum=0;
c[0]=0;
if((float)rand()/(float)RAND_MAX<=p_injection)
{
c[0]=1;
sum=sum+1;
v[sum]=V;
x[sum]=0; //在格点i=0处以p_injection概率随机注入一辆v=V的车;
for(i=1;i<=L;i++)
{
if(c[i]==1)
{
sum=sum+1;
v[sum]=v1[sum-1];
x[sum]=x1[sum-1];
//cout<<v[sum];
}
//else
//cout<<".";
}
/* if(c[0]==1)
cout<<"sum="<<sum-1;
else
cout<<"sum="<<sum;
cout<<endl;*/
}
else
{
for(i=1;i<=L;i++)
{
if(c[i]==1)
{
sum=sum+1;
v[sum]=v1[sum];
x[sum]=x1[sum];
//cout<<v[sum];
}
//else
//cout<<".";
}
/*if(c[0]==1)
cout<<"sum="<<sum-1;
else
cout<<"sum="<<sum;
cout<<endl;*/
}
if(k>=(t-1))
{
if(c[0]==1)
p_each_step=(float)(sum-1)/(float)L;
else
p_each_step=(float)sum/(float)L;
//cout<<"p_each_step="<<p_each_step;
p_steps=p_steps+p_each_step;
V1=0;
for(i=1;i<=sum;i++)
V1=V1+v[i];
if(c[0]==1)
{
V1=V1-v[1];
V2=(float)(V1)/(float)(sum-1);
}
else
V2=(float)(V1)/(float)(sum);
//cout<<"V2="<<V2<<endl;
V3=V3+V2;
}
for(i=1;i<=sum;i++)
{
x1[i]=x[i];
v1[i]=v[i];
}
}
p_each_step_average=p_steps/(float)(time_steps-t+1);
p_total=p_total+p_each_step_average;
//cout<<"p_total="<<p_total<<" "<<endl;
V4=V3/(float)(time_steps-t+1);
V_total=V_total+V4;
//cout<<"V_total="<<V_total<<endl;
}
p_average=p_total/(float)(N);
cout<<"p_average="<<p_average<<" ";
V_average=V_total/(float)(N);
cout<<"V_average="<<V_average<<" ";
J=V_average*p_average;
cout<<"J="<<J<<endl;
FILE *fp;
if((fp=fopen("E:\\开放边条下的NS模型[文献]V_Max=5,(β=1,P不同).dat","a+"))==NULL)
{
cout<<"Can not open this file."<<endl;
exit(0);
}
fprintf(fp,"%f %f %f %f %f\n",p2,p_injection,p_average,V_average,J);
fclose(fp);
p_injection=p_injection+0.05;
// p_extinction=p_extinction+0.05;
}
// V=V+1;
p2=p2+0.125;
}
return 0;
}
int rule(int l,int m)
{
l=Min((l+1),V);
l=Min(l,m);
if((float)rand()/(float)RAND_MAX<p2)
l=Max((l-1),0);
v[i]=l;
return v[i];
}
int Max(int a,int b)
{
int c;
c=a>b?a:b;
return c;
}
int Min(int d,int e)
{
int f;
f=d<e?d:e;
return f;
}
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