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Genetic Algorithm

, 17 May 2005
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Genetic Algorithm used to search for maximum/minimum value of a given function using the concept of chromes and genes.

Introduction :

Hi every .. this article is about Genetic search algorithm ... in general, it's used to find a maximum or minimum value of a given function using the concept of biological chromes and genes.

Basics :

So for now ... what we need to do ... is to make 2 population set ... where a current set have the initial points ( chromes ) , and the next set containing the points ( chromes ) produced by the first set .... and so on ... untill we finish the no. of iterations.

i.e: Current set for randomly initialised chromes :
current population of 4 chromes,
* each row is a chrome.
* each chrom consist of 6 genes ( 6 columns ) [ 1 sign bit and 5 other bits ] and a fitness value [the last column to the right] that represent the function value y(x) at the value of the given chrom (x) ... where the chrom is converted to an integer value from the bits conversion ...

c no.

Sb

b5

b4

b3

b2

b1

fit

1

0

1

0

1

1

0

8

2

1

0

0

1

0

0

6

3

0

0

1

0

1

0

9

4

0

0

0

1

1

0

12

Functions :

1- Picking the best chromes :

as in the actual life principles ... " Survival is for the strongest " , so we choose the best 2 elements of the set ( current population ) according to their fitness ( highest fitness as we are looking for a the maximum value of the function ).

the new set:

c no.

Sb

b5

b4

b3

b2

b1

fit

4

0

0

0

1

1

0

12

3

0

0

1

0

1

0

9

 

 

 

 

 

 

 

 

 

 

 

 

2- Cross over to generate the children :

so now in the new set we have the two chromes picked from the old set ... they are parents to the other two chromes in the  set whom will be generated by crossing over the two chromes at a certain point and exchange the two parts as follows :
Cross over occured after bit 3 ( notice the bold and the italic digits being crossed in the children from the parents )

c no.

Sb

b5

b4

b3

b2

b1

fit

4

0

0

0

1

1

0

12

3

0

0

1

0

1

0

9

child 1

0

0

0

0

1

0

14

child 2

0

0

1

1

1

0

5

3- Mutation with a low probability :

Mutation occurs with a low probability in one chrome in the set... by inverting a one of the bits in the chrom.

4- loop termination :

now we have the new set ... so we make the old set equal to the new one ... and do the 1,2,and 3 again depending on the no. of iterations.

Step by step coding :

#include<stdio.h>          //to use the printf function
#include<conio.h>         //to use the getche function
#include<stdlib.h>         //to use the rand function

typedef struct Chrom             // creating the chrom structure
   {
    short int bit[6];
      int fit;
   }chrom;                           // now we have a chrom type that we can use

void *evpop(chrom popcurrent[4]);    //defining the functions that we will use
int x(chrom popcurrent);
int y(int x);
void *pickchroms(chrom popcurrent[4]);
void *crossover(chrom popnext[4]);
void *mutation(chrom popnext[4]);

void main()                                    // the main function
{
   int num;                                     // num is the no. of iterations
   int i,j;

   printf("\nWelcome to the Genetic Algorithm coded by Luay Al-wesi : www.luay.info \nThe Algorithm is based on the function y = -x^2 + 5 to find the maximum value of the function...\n");                         // introduction to the program


   enter: printf("\nPlease enter the no. of iterations:  ");
   scanf("%d",&num);                           // enter the no. of iterations in num

   chrom popcurrent[4];                        // we make 4 chromes of popcurrent 
   chrom popnext[4];                            // we make 4 chromes of popnext

   if(num<1)                                       // if a -ve number is inserted .. enter num again
   goto enter;

   evpop(popcurrent);                         //initialise pop current
   
   for(i=0;i<num;i++)                            // loop num times
{

     printf("\ni = %d\n",i);                     // print the iteration number

     for(j=0;j<4;j++)                            
        popnext[j]=popcurrent[j];            //copy popcurrent to popnext in order to adjust it

     pickchroms(popnext);                    //pick best chromes
     crossover(popnext);                      //cross over to get children chromes
     mutation(popnext);                       //mutate with a low probability

     for(j=0;j<4;j++)                    
        popcurrent[j]=popnext[j];               //copy the chromes of popnext to popcurrent 

    }                                                     // loop back until no. of iterations is exceeded

   printf("\nPress any key to end ! ");
   
   flushall();                                         // flush the input buffer
   getche();                                        // wait for a character from the keyboard to end

}                                                      //end of main

 

void *evpop(chrom popcurrent[4])               //takes a pointer to a chrom of 4 elements
{
 int i,j,value;
   int random;
   for(j=0;j<4;j++)                          // loop of j to choose chromes from [0] to [3]
    {
        for(i=0;i<6;i++)            // loop of i to choose the gen of the chrom from  [0] to [5]
     
        {
            random=rand();               // creating random value
            random=(random%2);        // make the random value o or 1 only
            popcurrent[j].bit[i]=random;  // initialising the bit[i] of chrom[j] with random
        }   // end of for(i)
      
        value=x(popcurrent[j]);               // get the value of the chrom as integer
        popcurrent[j].fit=y(x(popcurrent[j]));        // calcualte the fitness of chrom[j]
        printf("\n popcurrent[%d]=%d%d%d%d%d%d    value=%d    fitness = %d",j,popcurrent[j].bit[5],popcurrent[j].bit[4],popcurrent[j].bit[3],popcurrent[j].bit[2],popcurrent[j].bit[1],popcurrent[j].bit[0],value,popcurrent[j].fit);     // print the chrom[j]
                                                                                            
       }    // end of for(j)                                                              


  return(0);                
}                                //end of evpop function

int x(chrom popcurrent)        //x function that evaluate the value of a given chrom
{
 int z;
   z=(popcurrent.bit[0]*1)+(popcurrent.bit[1]*2)+(popcurrent.bit[2]*4)+(popcurrent.bit[3]*8)+(popcurrent.bit[4]*16);
   if(popcurrent.bit[5]==1)
   z=z*(-1);                      // z=sum of the ( bits * their weights) with the sign value   
    return(z);                     //return the value of z
 }                                   // end x function

int y(int x)          // the y function that we look for it's maximum value takes x value
{
 int y;
   y=-(x*x)+5;            // the function is y= - ( x^ 2 ) +5
   return(y);             
}                              // end of y function

void *pickchroms(chrom popcurrent[4])   // pickchroms takes a pointer to array of chroms
{

 int i,j;
   chrom temp;                            //temp chrome to use in sorting

    for(i=0;i<3;i++)                                              //sorting the given set due to fitness
       for(j=0;j<3;j++)
         {
             if(popcurrent[j+1].fit>popcurrent[j].fit)
               {
                 temp=popcurrent[j+1];
                 popcurrent[j+1]=popcurrent[j];
                 popcurrent[j]=temp;

               }   // end of if
         }                // end of for loop

      for(i=0;i<4;i++)
  printf("\nSorting:popnext[%d] fitness=%d",i,popcurrent[i].fit);           //printing the result
  printf("\n");                 //print new line
      flushall();                                                            //flush the input buffer
  return(0);
}                       //end of pick chromes function

void *crossover(chrom popnext[4]) // crossover function takes a pointer to array of chromes
{
 int random;
   int i;
   random=rand();                                  //random cross over point
   random=((random%5)+1);                    // cross point should be between (1 - 5)
   for(i=0;i<random;i++)                          //crossing the bits below the cross point index
     {
       popnext[2].bit[i]=popnext[0].bit[i];           //child 1 cross over
         popnext[3].bit[i]=popnext[1].bit[i];          // child 2 cross over
      } // end of for

 for(i=random;i<6;i++)                        // crossing the bits beyond the cross point index
     {
       popnext[2].bit[i]=popnext[1].bit[i];           // child 1 cross over
       popnext[3].bit[i]=popnext[0].bit[i];           // chlid 2 cross over
      }    // end of for

      for(i=0;i<4;i++)
       popnext[i].fit=y(x(popnext[i]));     // calculating the fitness values for the new set

      for(i=0;i<4;i++)                           
      printf("\nCrossOver popnext[%d]=%d%d%d%d%d%d    value=%d    fitness = %d",i,popnext[i].bit[5],popnext[i].bit[4],popnext[i].bit[3],popnext[i].bit[2],popnext[i].bit[1],popnext[i].bit[0],x(popnext[i]),popnext[i].fit); 
                       // printing the bits, value and fitness for the chromes of the new set

  return(0);
   }                  // end crossover function

void *mutation(chrom popnext[4])   // mutation funtion given a pointer to array of chromes
{
  
   int random;
   int row,col,value;                                     
   random=rand()%50;                  //random value is between ( 0 - 49 )

   if (random==25)    // Suppusiong Probability of mutation is 2 % 
   {
    col=rand()%6;                           // random column (gene) choosing 
      row=rand()%4;                           // random row ( chrome ) choosing
     
     if (popnext[row].bit[col]==0)          // invert the bit to 1 if it was 0
      popnext[row].bit[col]=1 ;
     
      else if (popnext[row].bit[col]==1)       // invert the bit to 0 if it was 1
           popnext[row].bit[col]=0;
         
       popnext[row].fit=y(x(popnext[row]));   // calculate the fitness for the mutated chrome
       value=x(popnext[row]);
       printf("\nMutation occured in popnext[%d] bit[%d]:=%d%d%d%d%d%d    value=%d   fitness=%d",row,col,popnext[row].bit[5],popnext[row].bit[4],popnext[row].bit[3],popnext[row].bit[2],popnext[row].bit[1],popnext[row].bit[0],value,popnext[row].fit);

              // print the chrome index,bits,value, fintness of the mutated chrome 
   }         // end of if
 
   return(0);
}                       //end of mutation

 

 

Finally

hope you benefit from this code ...
god bless

 

 

 

 

 

 

License

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A list of licenses authors might use can be found here

About the Author

Loay Al Lusi
Engineer
Australia Australia
I'm Loay Al-Lusi, a Computer Engineer, graduated in March 2007 from Amman Al-ahliya University / Jordan.
Right now I'm studying IMBA (International Masters of Business Administration) in Brisbane, Australia. Expected to graduate in December 2013.
For more info, please check my social pages.
Follow on   Twitter   LinkedIn

Comments and Discussions

 
Questiongenetic algorithm for minimisation PinmemberMember 1008418729-May-13 23:14 
GeneralMy vote of 1 Pinmemberdariush_ha26-Jun-12 10:54 
GeneralCan you help me PinmemberLemany7611-Apr-12 0:36 
GeneralMy vote of 4 PinmemberDarkElieDraven27-Mar-12 7:48 
Questionga based filter Pinmemberproyanga29-Jan-12 18:31 
QuestionMutation PinmemberMember 845447411-Dec-11 6:04 
QuestionSome douts of the GA program code... PinmemberMember 456894126-Aug-11 0:32 
Generalneed of help Pinmemberpallavi khatri6-Sep-10 23:13 
GeneralRe: need of help Pinmemberluay19858-Sep-10 2:08 
Generalchecking PinmemberJoannecw865-Sep-10 15:18 
GeneralRe: checking Pinmemberluay19856-Sep-10 1:41 
Generalabout genetic algorithm Pinmembernalinikanta sutar18-Aug-10 22:48 
GeneralGA Code PinmemberB.V.Raghavendra20-Jun-10 22:09 
QuestionWhat is chrom? PinmemberJoannecw8613-Jun-10 19:33 
AnswerRe: What is chrom? Pinmemberluay198513-Jun-10 22:59 
GeneralRe: What is chrom? PinmemberJoannecw8614-Jun-10 19:00 
GeneralRe: What is chrom? Pinmemberluay198514-Jun-10 20:06 
GeneralRe: What is chrom? PinmemberJoannecw8614-Jun-10 20:57 
GeneralRe: What is chrom? Pinmemberluay198514-Jun-10 20:59 
GeneralRe: What is chrom? PinmemberJoannecw861-Jul-10 20:51 
Generali want an idea???????? any one can help Pinmembervibhor sharma8-Apr-10 12:26 
GeneralRe: i want an idea???????? any one can help Pinmemberluay198514-Jun-10 0:11 
QuestionFitness function for multicast routing Pinmemberkruthikan29-Mar-10 22:43 
GeneralFitness function PinmemberParisa.gharavi4-Dec-09 9:18 
GeneralRe: Fitness function Pinmemberluay19854-Dec-09 9:42 

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