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Performance indicators in multiobjective optimization

Charles Audet (Charles.Audet***at***gerad.ca)
Jean Bigeon (bigeon-j***at***univ-nantes.fr)
Dominique Cartier (Dominique.cartier***at***csdhr.qc.ca)
Sébastien Le Digabel (Sebastien.Le.Digabel***at***gerad.ca)
Ludovic Salomon (ludovic.salomon***at***gerad.ca)

Abstract: In recent years, the development of new algorithms for multiobjective optimization has considerably grown. A large number of performance indicators has been introduced to measure the quality of Pareto front approximations produced by these algorithms. In this work, we propose a review of a total of 63 performance indicators partitioned into four groups according to their properties: cardinality, convergence, distribution and spread. Applications of these indicators are presented as well.

Keywords: Multiobjective optimizationQuality indicatorsPerformance indicators.

Category 1: Other Topics (Multi-Criteria Optimization )

Category 2: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: European Journal of Operational Research, Volume 292, Issue 2, Pages 397-422, 2021.

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Entry Submitted: 10/25/2018
Entry Accepted: 10/25/2018
Entry Last Modified: 03/10/2021

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