The performance of most evolutionary metaheuristic algorithms depends on various operators. The crossover operator is one of them and is mainly classified into two standards; application-dependent crossover operators and application-independent crossover operators. These standards always help to choose the best-fitted point in the evolutionary algorithm process. The high efficiency of crossover operators enables minimizing the error that occurred in engineering application optimization within a short time and cost. There are two crucial objectives behind this paper; at first, it is an overview of crossover standards classification that has been used by researchers for solving engineering operations and problem representation. The second objective of this paper; The significance of novel standard crossover is proposed depending on Lagrangian Dual Function (LDF) to progress the formulation of the Lagrangian Problem Crossover (LPX) as a new systematic standard operator. The results of the proposed crossover standards for 100 generations of parent chromosomes are compared to the BX and SBX standards, which are the communal real-coded crossover standards. The accuracy and performance of the proposed standard have evaluated by three unimodal test functions. Besides, the proposed standard results are statistically demonstrated and proved that it has an excessive ability to generate and enhance the novel optimization algorithm compared to BX and SBX.
翻译:多数进化的计量经济学算法的性能取决于不同的操作者,交叉运算者是其中之一,主要分为两个标准;依赖应用的交叉运算者和依赖应用的交叉运算操作者。这些标准总是有助于选择进化算算法进程中最适合的点。交叉运算者的效率高有助于在很短的时间和成本内将工程应用优化过程中出现的错误最小化。本文后面有两个关键目标;首先,它是一个跨标准分类概览,研究人员在解决工程操作和问题说明时使用了交叉标准分类。本文件的第二个目标;根据Lagrangian 双轨函数(LDF)提出新的交叉交叉交叉标准对于制定Lagrangian 问题交叉运算(LPX)作为新的系统操作者的重要性。拟议的100代母色谱体交叉标准的结果与BX 和 SBX 标准进行了比较,后者是共同真实的交叉交叉标准。拟议标准的准确性和绩效已经通过三个单度测试功能进行了评估; 新的标准交叉函数(LDF)对LDF的准确性和性进行了评估。此外,拟议的标准结果在统计上展示了B的超度,并证明它具有超度。