Non-Epsilon Dominated Evolutionary Algorithm for the Set of Approximate Solutions
Carlos Ignacio Hernández Castellanos, Oliver Schütze, Jian-Qiao Sun and 1 more
Mathematical and Computational Applications · 2020
doi:10.3390/mca25010003 (opens in a new tab)
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Abstract
In this paper, we present a novel evolutionary algorithm for the computation of approximate solutions for multi-objective optimization problems. These solutions are of particular interest to the decision-maker as backup solutions since they can provide solutions with similar quality but in different regions of the decision space. The novel algorithm uses a subpopulation approach to put pressure towards the Pareto front while exploring promissory areas for approximate solutions. Furthermore, the algorithm uses an external archiver to maintain a suitable representation in both decision and objective space. The novel algorithm is capable of computing an approximation of the set of interest with good quality in terms of the averaged Hausdorff distance. We underline the statements on some academic problems from literature and an application in non-uniform beams.
Abstract licence: CC BY
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