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A New Constrained Optimization Evolutionary Algorithm by using Good Point Set

机译:使用好点集的新约束优化进化算法

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Solving constrained optimization problems (COPs) via evolutionary algorithms (EAs) has attracted much attention recently. A new constrained optimization evolutionary algorithm by using good point set (COEAGP) is presented in this paper. In the process of population evolution, multi-objective optimization techniques and good point set in number theory are integrated into our algorithm. The approach transforms COP into a bi-objective optimization problem firstly. Then the crossover operator is designed by using the principle of good point set. The purpose of the new crossover is to enrich the exploration and exploitation abilities of the approach proposed. The new crossover operator can produce a small but representative set of points as the potential offspring. After that the BGA mutation operator is applied to potential offspring for enhancing the diversity of the potential offspring population. Furthermore, the update operator incorporates Pareto dominance and the tournament selection operator to choose the best individuals in the current offspring for the next generation. The new approach is tested on 8 well-known benchmark functions, and the empirical evidence suggests that it is robust and efficient when handling linear/nonlinear equality/inequality constraints and that COEAGP outperforms or performs similarly to the other techniques referred in this paper in terms of the quality of the resulting solutions.
机译:通过进化算法(EAS)解决受约束的优化问题(COP)最近引起了很多关注。本文提出了一种使用良好点集(COEAGP)的新约束优化进化算法。在人口演化过程中,数量理论中的多目标优化技术和良好点集成到我们的算法中。该方法首先将COP转化为双目标优化问题。然后通过使用良好点集的原理来设计交叉操作员。新交叉的目的是丰富提出的方法的探索和开发能力。新的交叉运算符可以产生一个小但代表性的一组点作为潜在的后代。之后,BGA突变算子被应用于潜在的后代,以增强潜在的后代群体的多样性。此外,更新运营商包含帕累托优势和锦标赛选择运营商,以选择当前后代的最佳个人。新方法在8个众所周知的基准函数上进行测试,并且经验证据表明,当处理线性/非线性平等/不等式限制时,它是稳健而有效的,并且COEAGP优于本文中提到的其他技术所产生的解决方案的质量。

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