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

Authors:
Y. Collette;P. Siarry
Affiliations:
Université de Paris, LERISS, Créteil, France and EdF R & D-Sinetics, Clamart, France;Université de Paris, LERISS, Créteil, France
Venue:
Computers and Operations Research
Year:
2005

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Abstract

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).