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  • 灾情巡视C语言代码

    /*
    "水灾巡视问题"模拟退火算法。
    这是一个推销员问题,本题有53个点,所有可能性大约为exp(53),目前没有好方法求出精确解,既然求不出精确解,我们使用模拟退火法求出一个较优解,将所有结点编号为1到53,1到53的排列就是系统的结构,结构的变化规则是:从1到53的排列中随机选取一个子排列,将其反转或将其移至另一处,能量E自然是路径总长度。具体算法描述如下:
    步1:设定初始温度T,给定一个初始的巡视路线。
    步2:步3 --8循环K次
    步3:步 4--7循环M次
    步4:随机选择路线的一段
    步5:随机确定将选定的路线反转或移动,即两种调整方式:反转、移动。
    步6:计算代价D,即调整前后的总路程的长度之差
    步7:按照如下规则确定是否做调整:
    如果D<0,则调整
    如果D>0,则按照EXP(-D/T)的概率进行调整
    步8:T*0.9-->T,降温
    */

    #include <stdio.h>
    #include <math.h>
    #define TFACTR  0.9
    #define MAX 10000.0
    #define MBIG 1000000000
    #define MSEED 161803398
    #define MZ 0
    #define FAC (1.0/MBIG)
    float weight[54][54];
    int iorder[54];
    void anneal (int ncity)

    { int irbit(unsigned long *iseed);

    int metrop(float de,float t);
    float ran(long *idum);
    float reverse_len(int ncity,int n[]);
    void reverse(int ncity,int n[]);
    float transe_len(int ncity,int n[]);
    void transe(int ncity,int n[]);
    int ans,nover,nlimit,i1,i2;
    int i,j,nsucc,nn,idec;
    unsigned long k;
    static int n[7];
    long idum;
    unsigned long iseed;
    float path,de,t,T;
    nlimit=100*ncity;/*max succ try numbers */
    path =0.0;

    for(i=1;i<ncity;i++){ /* primitive path length */
       i1=iorder[i];
       i2=iorder[i+1];
        path+=weight[i1][i2];
       }
           i1=iorder[ncity];
           i2=iorder[1];
      path+=weight[i1][i2];
     idum=-1;
     iseed=111;
          T=2.8 ;
     for(j=1;j<=30;j++){
           nsucc=0;
          for(k=1;k<=20000;k++){
             do { n[1]=1+(int)(ncity*ran(&idum));
              n[2]=1+(int)((ncity-1)*ran(&idum));
              if(n[2]>=n[1]) ++n[2];
              nn=1+((n[1]-n[2]+ncity-1)%ncity);
              } while (nn<3);
           idec=irbit(&iseed);

           if(idec==0){
        n[3]=n[2]+(int) (abs(nn-2)*ran(&idum))+1;
        n[3]=1+((n[3]-1)%ncity);
        de=transe_len(ncity,n);
        ans=metrop(de,T);
        if (ans){ ++nsucc;
           path+=de;
           transe(ncity,n);
           }
           }
       else {
              de=reverse_len(ncity,n);
              ans=metrop(de,T);
              if (ans) {++nsucc;
          path+=de;
          reverse(ncity,n);
          }
             }
      if(nsucc>=nlimit) break;
       }

           printf(" %s %10.6f %s %10.6f   j=%d","T=",T,"path len=",path,j);
           printf("successful moves: %6d ",nsucc);

          for(i=1;i<=53;i++) printf("\%5d",iorder[i]);


           T*=TFACTR;
           if(nsucc==0) return;
           }


       }

    float reverse_len(int ncity,int n[])
     {
      float de;
             int xx[5],yy[5];
      int j,ii;
      n[3]=1+((n[1]+ncity-2)%ncity);
      n[4]=1+(n[2]%ncity);
      for(j=1;j<=4;j++) {
            xx[j]=iorder[n[j]];
       }
           de=-weight[xx[1]][xx[3]];
           de-=weight[xx[2]][xx[4]];
           de+=weight[xx[1]][xx[4]];
           de+=weight[xx[2]][xx[3]];

            return de;
            }

      void reverse (int ncity,int n[])
      {  int nn,j,k,l,itmp;
       nn=(1+((n[2]-n[1]+ncity)%ncity))/2;
       for(j=1;j<=nn;j++){ k=1+((n[1]+j-2)%ncity);
             l=1+((n[2]-j+ncity)%ncity);
             itmp=iorder[k];
             iorder[k]=iorder[l];
             iorder[l]=itmp;
             }
        }

       float transe_len(int ncity,int n[])
       {
           float /*xx[7],yy[7],*/ de;
           int j,ii,xx[7];
           n[4]=1+(n[3]%ncity);
           n[5]=1+((n[1]+ncity-2)%ncity);
           n[6]=1+(n[2]%ncity);
           for(j=1;j<=6;j++){
        /*ii=iorder[n[j]];
        xx[j]=x[ii];
        yy[j]=y[ii];*/
                         xx[j]=iorder[n[j]];
        }
        de=-weight[xx[2]][xx[6]];
        de-=weight[xx[1]][xx[5]];
        de-=weight[xx[3]][xx[4]];
        de+=weight[xx[1]][xx[3]];
        de+=weight[xx[2]][xx[4]];
        de+=weight[xx[5]][xx[6]];
           return de;
           }
        void transe(int ncity,int n[])
        {
          int m1,m2,m3,nn,j,jj,jorder[100];
          m1=1+((n[2]-n[1]+ncity) %ncity); /* n[1] to n[2] city numbers*/
          m2=1+((n[5]-n[4]+ncity) %ncity); /*n[4] to n[5]  */

          m3=1+((n[3]-n[6]+ncity) %ncity);  /*n[3].. n[6]  .....*/
          nn=1;
          for(j=1;j<=m1;j++)
           {jj=1+((j+n[1]-2)%ncity);
           jorder[nn++]=iorder[jj];
           }
           if(m2>0) for(j=1;j<=m2;j++)
        { jj=1+((j+n[4]-2)%ncity);
        jorder[nn++]=iorder[jj];
        }
     if(m3>0) for(j=1;j<=m3;j++){ jj=1+((j+n[6]-2)%ncity);
             jorder[nn++]=iorder[jj];
             }
      for(j=1;j<=ncity;j++)
      iorder[j]=jorder[j];
      }
     int metrop(float de,float t)
     {
          float ran(long *idum);
          static long gljdum=1;
          return de<0.0 ||ran(&gljdum)<exp(-de/t);
      }
    float ran(long *idum)
    {static int inext,inextp;
     static long ma[56];
     static int iff=0;
     long mj,mk;
     int i,ii,k;
     if(*idum<0||iff==0) {
            iff=1;
            mj=MSEED-(*idum<0?-*idum:*idum);
            mj%=MBIG;
            ma[55]=mj;
            mk=1;
            for(i=1;i<54;i++){
         ii=(21*i)%55;
         ma[ii]=mk;
         mk=mj-mk;
         if(mk<MZ)mk+=MBIG;
         mj=ma[ii];
       }
       for(k=1;k<=4;k++)
            for(i=1;i<=55;i++){
           ma[i]-=ma[1+(i+30)%55];
           if(ma[i]<MZ) ma[i]+=MBIG;
           }
        inext=0;
        inextp=31;
        *idum=1;
           }
        if(++inext==56)inext=1;
        if(++inextp==56) inextp=1;
        mj=ma[inext]-ma[inextp];
        if(mj<MZ) mj+=MBIG;
        ma[inext]=mj;
        return mj*FAC;
        }
     int irbit(unsigned long *iseed)
     {
         unsigned long newbit;
          newbit=(*iseed &131072)>>17
         ^(*iseed&16)>>4
           ^(*iseed &2)>>1
           ^(*iseed &1);
           *iseed=(*iseed<<1)|newbit;
           return newbit;
    }
    main()
    {

        int ncity=53;
      int i,j,k,l;
      for(i=0;i<=53;i++) iorder[i]=i;
      for(i=1;i<=53;i++)
      for(j=1;j<=53;j++)
      weight[i][j]=0;

    weight[53][1]=6;
    weight[53][50]=10.1;
    weight[1][38]=11.2;
    weight[3][39]=8.2;
     weight[5][39]=11.3;
     weight[6][48]=9.5;
     weight[8][40]=8;
    weight[11][40]=14.2;
    weight[12][42]=7.8;
    weight[13][44]=16.4;
    weight[15][44]=8.8;
    weight[17][46]=9.8;
    weight[19][20]=9.3;
    weight[20][25]=6.5;
    weight[21][46]=4.1;
    weight[23][49]=7.9;
    weight[25][49]=8.8;
    weight[27][28]=7.9;
    weight[29][51]=7.2;
    weight[31][32]=8.1;
    weight[33][35]=20.3;
    weight[34][37]=17.6;
    weight[44][45]=15.8;
    weight[53][2]=9.2;
    weight[53][52]=12.9;
    weight[2][3]=4.8;
    weight[4][8]=20.4;
    weight[5][48]=11.4;
    weight[7][39]=15.1;
    weight[9][40]=7.8;
    weight[11][42]=6.8;
    weight[12][43]=10.2;
    weight[13][45]=9.8;
    weight[16][17]=6.8;
    weight[18][44]=8.2;
    weight[19][45]=8.1;
    weight[20][47]=5.5;
    weight[22][23]=10;
    weight[24][27]=18.8;
    weight[26][27]=7.8;
    weight[28][50]=12.1;
    weight[29][52]=7.9;
    weight[31][33]=7.3;
    weight[33][36]=7.4;
    weight[36][37]=12.2;
    weight[48][49]=14.2;
    weight[53][38]=11.5;
    weight[1][36]=10.3;
    weight[2][5]=8.3;
    weight[4][39]=12.7;
    weight[6][7]=7.3;
    weight[7][40]=7.2;
    weight[9][41]=5.6;
    weight[11][45]=13.2;
    weight[13][14]=8.6;
    weight[14][15]=15;
    weight[16][44]=11.8;
    weight[18][45]=8.2;
    weight[19][47]=7.2;
    weight[21][23]=9.1;
    weight[22][46]=10.1;
    weight[24][49]=13.2;
    weight[26][49]=10.5;
    weight[28][51]=8.3;
    weight[30][32]=10.3;
    weight[31][52]=9.2;
    weight[34][35]=8.2;
    weight[36][52]=8.8;
    weight[53][48]=19.8;
    weight[1][37]=5.9;
    weight[3][38]=7.9;
    weight[5][6]=9.7;
    weight[6][47]=11.8;
    weight[7][47]=14.5;
    weight[10][41]=10.8;
    weight[12][41]=12.2;
    weight[13][42]=8.6;
    weight[14][43]=9.9;
    weight[17][22]=6.7;
    weight[18][46]=9.2;
    weight[20][21]=7.9;
    weight[21][25]=7.8;
    weight[23][24]=8.9;
    weight[25][48]=12;
    weight[26][50]=10.5;
    weight[29][50]=15.2;
    weight[30][51]=7.7;
    weight[32][35]=14.9;
    weight[34][36]=11.5;
    weight[37][38]=11;
    for(i=1;i<=53;i++)
    for(j=1;j<=53;j++)
    if(weight[i][j]!=0)weight[j][i]=weight[i][j];
    for(i=1;i<=53;i++)
    for(j=1;j<=53;j++)
    if(weight[i][j]==0) weight[i][j]=MAX;
      for(k=1;k<=53;k++)
       for(i=1;i<=53;i++)
       for(j=1;j<=53;j++)

    if(!(i==j)&&!(i==k)&&!(k==j))
      if( weight[i][k]+weight[k][j]<weight[i][j])
        weight[i][j]=weight[i][k]+weight[k][j] ;
     printf(" ");

    anneal(ncity);

    for(i=1;i<=53;i++) printf("\%5d",iorder[i]);
    }


     

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  • 原文地址:https://www.cnblogs.com/Xbingbing/p/3323519.html
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