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Immune algorithm with orthogonal design based initialization, cloning, and selection for global optimization

机译:具有基于正交设计的免疫算法,该算法基于全局优化进行初始化,克隆和选择

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摘要

In this study, an orthogonal immune algorithm (OIA) is proposed for global optimization by incorporating orthogonal initialization, a novel neighborhood orthogonal cloning operator, a static hypermutation operator, and a novel diversity-based selection operator. The orthogonal initialization scans the feasible solution space once to locate good points for further exploration in subsequent iterations. Meanwhile, each row of the orthogonal array defines a sub-domain. The neighborhood orthogonal cloning operator uses orthogonal arrays to scan uniformly the neighborhood around each antibody. Then the new algorithm explores each clone by using hypermutation. The improved maturated progenies are selectively added to an external population by the diversity-based selection, which retains one and only one external antibody in each sub-domain. The OIA is unique in three aspects: First, a new selection method based on orthogonal arrays is provided in order to preserve diversity in the population. Second, the orthogonal design with a modified quantization technique is introduced to generate initial population. Third, the orthogonal design is introduced into the cloning operator. The performance comparisons of OIA with two known immune algorithms and three evolutionary algorithms in optimizing eight benchmark functions and six composition functions indicate that OIA is an effective algorithm for solving global optimization problems.
机译:在这项研究中,通过结合正交初始化,新颖的邻域正交克隆算子,静态超变异算子和新颖的基于分集的选择算子,提出了用于全局优化的正交免疫算法(OIA)。正交初始化对可行解空间进行一次扫描,以找到好点,以便在后续迭代中进一步探索。同时,正交阵列的每一行定义一个子域。邻域正交克隆算子使用正交阵列来均匀扫描每个抗体周围的邻域。然后,新算法通过使用超突变探索每个克隆。通过基于多样性的选择将改良的成熟后代选择性地添加到外部群体,该多样性在每个亚结构域中保留一个且仅一个外部抗体。 OIA在三个方面具有独特性:首先,提供了一种基于正交数组的新选择方法,以保持种群中的多样性。其次,引入具有改进量化技术的正交设计以生成初始种群。第三,将正交设计引入克隆运算符。 OIA与两种已知的免疫算法和三种进化算法在优化八个基准函数和六个组合函数方面的性能比较表明,OIA是解决全局优化问题的有效算法。

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