//基本蚁群算法程序
#include “stdafx.h”
#include<iostream>
using namespace std;
const int iAntCount=34;//蚂蚁数量
const int iCityCount=51;//城市数量
const int iItCount=2000;//最大跌代次数
const double Q=100;
const double alpha=1;
const double beta=5;
const double rou=0.5;
int besttour[iCityCount];//最有路径列表
double rnd(int low,double uper)//获得随机数
{
double p=(rand()/(double)RAND_MAX)*((uper)-(low))+(low);
return (p);
};
int rnd(int uper)
{
return (rand()%uper);
};
class GInfo//tsp地图信息，包含了信息素，城市距离，和信息素变化矩阵
{
public:
double m_dDeltTrial[iCityCount][iCityCount];
double m_dTrial[iCityCount][iCityCount];
double distance[iCityCount][iCityCount];
};
GInfo Map;
class ant
{
private:
int ChooseNextCity();//选择城市
double prob[iCityCount];
int m_iCityCount;
int AllowedCity[iCityCount];//没有走过的城市
public:
void addcity(int city);
int tabu[iCityCount];
void Clear();
void UpdateResult();
double m_dLength;
double m_dShortest;
void move();
ant();
void move2last();
};
void ant::move2last()
{
int i;
for(i=0;i《iCityCount;i++)if (AllowedCity[i]==1)
{
addcity(i);
break;
}
}
void ant::Clear()
{
m_dLength=0;
int i;
for(i=0;
i〈iCityCount;i++)
prob[i]=0;
AllowedCity[i]=1;
}
i=tabu[iCityCount-1];
m_iCityCount=0;
addcity(i);
}
ant::ant()
{
m_dLength=m_dShortest=0;
m_iCityCount=0;
int i;
for(i=0;i〈iCityCount;i++)
AllowedCity[i]=1;
prob[i]=0;
}
}
void ant::addcity(int city)
{
//add city to tabu;
tabu[m_iCityCount]=city;
m_iCityCount++;
AllowedCity[city]=0;
}
int ant::ChooseNextCity()
{
//Update the probability of path selection
//select a path from tabu[m_iCityCount-1] to next
int i;
int j=10000;
double temp=0;
int curCity=tabu[m_iCityCount-1];
for (i=0;i〈iCityCount;i++)
if((AllowedCity[i]==1))
{
temp+=pow((1.0/Map.distance[curCity][i]),beta)*pow((Map.m_dTrial[curCity][i]),alpha);
}
}
double sel=0;
for (i=0;i〈iCityCount;i++)
if((AllowedCity[i]==1))
{
prob[i]=pow((1.0/Map.distance[curCity][i]),beta)*pow((Map.m_dTrial[curCity][i]),alpha)/temp;
sel+=prob[i];
}
else
prob[i]=0;
}
double mRate=rnd(0,sel);
double mSelect=0;
for ( i=0;i〈iCityCount;i++)
if((AllowedCity[i]==1))
mSelect+=prob[i] ;
if (mSelect>=mRate) {j=i;break;}
}
if (j==10000)
{
temp=-1;
for (i=0;i〈iCityCount;i++)
if((AllowedCity[i]==1))
if (temp
{
temp=pow((1.0/Map.distance[curCity][i]),beta)*pow((Map.m_dTrial[curCity][i]),alpha);
j=i;
}
}
}
return j;
}
void ant::UpdateResult()
{
// Update the length of tour
int i;
for(i=0;i〈iCityCount-1;i++)
m_dLength+=Map.distance[tabu[i]][tabu[i+1]];
m_dLength+=Map.distance[tabu[iCityCount-1]][tabu[0]];
}
void ant::move()
{
//the ant move to next town and add town ID to tabu.
int j;
j=ChooseNextCity();
addcity(j);
}
class project
{
public:
void UpdateTrial();
double m_dLength;
void initmap();
ant ants[iAntCount];
void GetAnt();
void StartSearch();
project();
};
void project::UpdateTrial()
{
//calculate the changes of trial information
int i;
int j;
for(i=0;i〈iAntCount;i++)
for (j=0;j〈iCityCount-1;j++)
{ Map.m_dDeltTrial[ants[i].tabu[j]][ants[i].tabu[j+1]]+=Q/ants[i].m_dLength ;
Map.m_dDeltTrial[ants[i].tabu[j+1]][ants[i].tabu[j]]+=Q/ants[i].m_dLength;
}
Map.m_dDeltTrial[ants[i].tabu[iCityCount-1]][ants[i].tabu[0]]+=Q/ants[i].m_dLength;
Map.m_dDeltTrial[ants[i].tabu[0]][ants[i].tabu[iCityCount-1]]+=Q/ants[i].m_dLength;
}
for (i=0;i〈iCityCount;i++)
for (j=0;j〈iCityCount;j++)
{
Map.m_dTrial[i][j]=(rou*Map.m_dTrial[i][j]+Map.m_dDeltTrial[i][j] );
Map.m_dDeltTrial[i][j]=0;
}
}
}
void project::initmap()
{
int i;
int j;
for(i=0;i〈iCityCount;i++)
for (j=0;j〈iCityCount;j++)
{
Map.m_dTrial[i][j]=1;
Map.m_dDeltTrial[i][j]=0;
}
}
project::project()
{
//initial map,read map infomation from file . et.
initmap();
m_dLength=10e9;
ifstream in(“eil51.tsp”);
struct city
{
int num;
int x;
int y;
}cc[iCityCount];
for (int i=0;i〈iCityCount;i++)
{
in>>cc[i].num>>cc[i].x>>cc[i].y;
besttour[i]=0;
}
int j;
for(i=0;i〈iCityCount;i++)
for (j=0;j〈iCityCount;j++)
{
{
Map.distance[i][j]=sqrt(pow((cc[i].x-cc[j].x),2)+pow((cc[i].y-cc[j].y),2));
}
}
}
void project::GetAnt()
{
//randomly put ant into map
int i=0;
int city;
srand( (unsigned)time( NULL ) +rand());
for (i=0;i〈iAntCount;i++)
{
city=rnd(iCityCount);
ants[i].addcity(city);
}
}
void project::StartSearch()
{
//begin to find best solution
int max=0;//every ant tours times
int i;
int j;
double temp;
int temptour[iCityCount];
while ((max〈iItCount)
{
for(j=0;j〈iAntCount;j++)
{
for (i=0;i〈iCityCount-1;i++)
ants[j].move();
}
for(j=0;j〈iAntCount;j++)
{ ants[j].move2last();
ants[j].UpdateResult ();
}
//find out the best solution of the step and put it into temp
int t;
temp=ants[0].m_dLength;
for (t=0;t〈iCityCount;t++)
temptour[t]=ants[0].tabu[t];
for(j=0;j〈iAntCount;j++)
{
if (temp〉ants[j].m_dLength) {
temp=ants[j].m_dLength;
for ( t=0;t〈iCityCount;t++)
temptour[t]=ants[j].tabu[t];
}
}
if(temp〈m_dLength){
m_dLength=temp;
for ( t=0;t〈iCityCount;t++)
besttour[t]=temptour[t];
}
printf(“%d : %f/n”,max,m_dLength);
UpdateTrial();
for(j=0;j〈iAntCount;j++)
ants[j].Clear();
max++;
}
printf(“The shortest toure is : %f/n”,m_dLength);
for ( int t=0;t〈iCityCount;t++)
printf(” %d “,besttour[t]);
}
int main()
{
project TSP;
TSP.GetAnt();
TSP.StartSearch();
return 0;
}
求eil51最优到了438，可以修改循环次数和其他参数。以得到更好的解。使用TSP数据的时候，将前面的一些字符串信息删除，只留下坐标数据。
