Comparison between multiobjective optimization algorithms

The first aim of this study was to perform a complete comprehensive comparison between multiobjective optimization methods by using the commercial modeFRONTIER software to solve the
standard test problem SCH and FON and examining the efficiency of each method. Two numerical
performance metrics and one visual criterion were chosen for qualitative and quantitative comparison
: (1) Spacing metric (S) which indicates the distribution of the Pareto front in the objective space. (2) the ratio between the number of resulting Pareto front members and the total number of fitness function calculations, and lastly (3) graphical representation of the Pareto fronts for discussion. These metrics were chosen to represent the quality, as well as speed of the algorithms by ensuring well distributed solution.