Three new metrics to measure the convergence of metaheuristics towards the Pareto frontier and the aesthetic of a set of solutions in biobjective optimization

In this paper, some new quality metrics concerning the evaluation of performances of biobjective optimization methods relating to the generation of the Pareto frontier are presented. A new metric for the calculation of the running speed of a multiobjective optimization method is also presented. These metrics are tested on two biobjective scalarization functions (Weighted sum and Tchebychev aggregation of objective functions) handled by a metaheuristic (Simulated Annealing).