Scalarization allows to solve a multi-objective optimization problem by solving many single-objective sub-problems, uniquely determined some parameters. In this work, several adaptive strategies select such parameters are proposed in order obtain uniform approximation of the Pareto front. This is done introducing heuristic dynamics where interact through binary repulsive potential. The approach...

This note analyzes the distributional properties of Pareto Type III random variables. The orignal two parameters distribution proposed by Pareto is expanded in a three parameters version and both its density and characteristic function are derived. The analytic expression of the inverse distribution function is also obtained, together with a simple series expansion of its moments of any order. ...