C++ Program to Implement Nearest Neighbour Algorithm

This is a C++ program to implement Nearest Neighbour Algorithm which is used to implement traveling salesman problem to compute the minimum cost required to visit all the nodes by traversing across the edges only once.

Required functions and pseudocodes

Algorithm

Begin
   Initialize c = 0, cost = 1000;
   Initialize g[][].
   function swap() is used to swap two values x and y.
   function cal_sum() to calculate the cost which take array a[] and size of array as input.
   Initialize sum =0.
   for i = 0 to n
      compute s+= g[a[i %3]][a[(i+ 1) %3]];
   if (cost >s)
      cost = s
   function permute() is used to perform permutation:
   If there is one lement in array
      call cal_sum().
   else
      for j = i to n
         swap (a+i) with (a + j)
         cal_sum(a+1,n)
         swap (a+i) with (a + j)
End

Example Code

#include<iostream>
using namespace std;

int c = 0, cost = 1000;
int g[3][3 ] = { {1,2,3},{4,5,8},{6,7,10}};

void swap(int *x, int *y) {
   int t;
   t = *x;
   *x = *y;
   *y = t;
}

void cal_sum(int *a, int n) {
   int i, s= 0;
   for (i = 0; i <= n; i++) {
      s+= g[a[i %3]][a[(i+ 1) %3]];
   }
   if (cost >s) {
      cost = s;
   }
}

void permute(int *a,int i,int n) {
   int j, k;
   if (i == n) {
      cal_sum (a,n);
   } else {
      for (j = i; j <= n; j++) {
         swap((a + i), (a + j));
         cal_sum(a+1,n);
         swap((a + i), (a + j));
      }
   }
}

int main() {
   int i, j;
   int a[] = {1,2,3};//take array elements
   permute(a, 0,2);
   cout << "minimum cost:" << cost << endl;
}

Output

minimum cost:3