LONSA: A labeling-oriented non-dominated sorting algorithm for evolutionary many-objective optimization

Multiobjective algorithms are powerful in tackling complex optmization problems mathematically represented by two or more conflicting objective functions and their constraints. Sorting a set of current solutions across non-dominated fronts is the key step for the searching process to finally identif...

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Bibliographic Details
Published in:Swarm and evolutionary computation Vol. 38; pp. 275 - 286
Main Authors: Alexandre, R.F., Barbosa, C.H.N.R., Vasconcelos, J.A.
Format: Journal Article
Language:English
Published: Elsevier B.V 01-02-2018
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Summary:Multiobjective algorithms are powerful in tackling complex optmization problems mathematically represented by two or more conflicting objective functions and their constraints. Sorting a set of current solutions across non-dominated fronts is the key step for the searching process to finally identify which ones are the best solutions. To perform that step, a high computational effort is demanded, especially if the size of the solution set is huge or the mathematical model corresponds to a many-objective problem. In order to overcome this, a new labeling-oriented algorithm is proposed in this paper to speed up the solution-to-front assignment by avoiding usual dominance tests. Along with this algorithm, called Labeling-Oriented Non-dominated Sorting Algorithm (LONSA), the associated methodology is carefully detailed to clearly explain how the classification of the solution set is successfully achieved. This work presents a comparison between LONSA and other well-known algorithms usually found in the literature. The simulation results have shown a better performance of the proposed algorithm against nine chosen strategies in terms of computational time as well as number of comparisons.
ISSN:2210-6502
DOI:10.1016/j.swevo.2017.08.003