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A Genetic Algorithm for Superior Solution Set Search Problem

机译：一种卓越解决方案集搜索问题的遗传算法

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摘要

The superior solution set search problem contains parameters that provide constraints on evaluation value and distance. However, an optimization method explicitly incorporating these parameters has not yet been proposed. There is a multi-objective optimization problem that is very similar to the superior solution set search problem. Studies on multi-objective optimization problems have been very active recently and solution applications to the superior solution set search problem are to be expected. Therefore, in this paper, we propose an evaluation indicator that is inspired by a method based on a dominance relationships in multi-objective optimization problems and includes the aforementioned parameters. We also propose a search method based on this indicator and perform numerical experiments on unique superior solution set search problems. The proposed method finds more superior solutions than the conventional single-objective optimization method, which confirms its usefulness.
机译：卓越的解决方案设置搜索问题包含在评估值和距离上提供约束的参数。然而，尚未提出明确地结合这些参数的优化方法。有一个多目标优化问题与卓越的解决方案设置搜索问题非常相似。最近对多目标优化问题的研究已经非常活跃，并预期解决卓越解决方案设置搜索问题的解决方案应用。因此，在本文中，我们提出了一种评估指标，其受到基于多目标优化问题中的主要关系的方法的启发，包括上述参数。我们还提出了一种基于该指示符的搜索方法，并对独特的卓越解决方案设置搜索问题进行数值实验。该方法发现比传统的单目标优化方法更优越，证实了其有用性。

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