Component Thermodynamical Selection Based Gene Expression Programming for Function Finding

Algorithm 3

Process of computing the component free energy of each individual.

The process of computing the component free energy of each individual

    Step  1  /∗ initialize the number of individuals in each rank and compute rank 𝛽^𝑖_𝑡 ∗/

     for (𝑖=0;𝑖<𝐾;𝑖++)

      {

        NR[i] = 0; /∗ initialize the number of individuals in each rank ∗/

        Compute rank 𝛽^𝑖_𝑡 according to (10)

      }

    Step  2  /∗ Compute the number of individuals in each rank and obtain the rank of

each individual ∗/

     for (𝑖=0;𝑖<𝑃^′_𝑡+1;𝑖++)

      {

      for (𝑗=0;𝑗<𝐾;𝑗++)

      {

         if (𝑒(𝑃^′_𝑡+1[𝑖]∈𝛽^𝑖_𝑡)

          {

          NR[𝑗]++;

          𝑃^′_𝑡+1[𝑖].Rank=𝑗;

          break;

          }

        }

      }

    Step  3  /∗ Compute the component free energy of each individual ∗/

     for (𝑖=0;𝑖<𝑃^′_𝑡+1;𝑖++)

      {

     𝑛_𝑖 = NR[𝑃^′_𝑡+1[𝑖].Rank];

    Compute the component free energy of individual 𝑃^′_𝑡+1[𝑖]

    according to (9) and (14);

      }