Achieving Fair Spectrum Allocation and Reduced Spectrum Handoff in Wireless Sensor Networks: Modeling via Biobjective Optimization

Algorithm 2

Rounding algorithm.

Step  1.  best_sol:= 0;

      old_sol:= 0;

       := : and ;

       := : and ;

Step  2.  Solve NLP relaxed problem with the solution vectors and ;

Step  3.   for each   begin

         if  

          := ;

         else

          := ;

       end

Step  4.  Check the feasibility of the original problem with the rounded .

         if not feasible begin

          := ;

         goto  Step ;

       end

Step  5.  Compute integer solution int_sol of each objective function:

       (1) For ,

       int_sol:= ;

       (2) For ,

       int_sol:= ;

       (3) For , ,

       int_sol:=

      where and are normalized and respectively computed by (16).

Step  6.   if (int_sol > best_sol)

        best_sol:= int_sol;

Step  7.   for each   begin

        if  

          := ; // if , fix as a parameter for next rounding iteration.

       End

Step  8.   if ( < )

        Terminate the algorithm;

       else

       old_sol:= int_sol;

       goto  Step ;