模拟生态平衡机制的牵制平衡算法及其应用研究  

Research on interdependence balance algorithm and its application by simulating ecological balance mechanism

作　　者：罗亚波[1] 滕红玺 LUO Yabo;TENG Hongxi(School of Mechanical and Electronic Engineering,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学机电工程学院,湖北武汉430070

出　　处：《华中科技大学学报（自然科学版）》2023年第12期20-28,共9页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51875430)。

摘　　要：为扩展仿生算法在求解工程设计优化问题方面的应用,模拟自然界的生态平衡机制,提出了一种新的仿生算法——牵制平衡算法.该算法以种群个数对应设计变量的维度,以种群规模对应设计变量的值,以物种间的牵制关系为优化驱动力,以系统达到稳态平衡为优化目标,构造了自成长函数、牵制函数和算法机制.通过对算法进行收敛性测试、不同基础资源测试和多物种求解测试,验证了算法的有效性.以三个工程设计问题为比对实验案例,实验结果表明:与现有算法相比,牵制平衡算法在这些问题中皆能获得优解,是一种具有实用性和竞争力的新算法.To expand the application of bionic algorithm in solving engineering design optimization problems,the ecological balance mechanism of nature was simulated and a new bionic algorithm:interdependence balance algorithm was proposed.Selfgrowth function,interdependence function,growth function and algorithm mechanism were constructed by taking the population types corresponding to the dimension of design variables,the population size corresponding to the value of design variables,the interdependence relationship between species as the optimization driving force and the steady-state balance of the system as the optimization goal.Through the convergence test,different basic resources test and multi-species solution test of the algorithm,the effectiveness of the algorithm was verified.Taking three engineering design problems as comparative experimental cases,the results show that compared with the existing algorithms,the interdependence balance algorithm can obtain optimal solutions in these problems and it is a new algorithm with practicability and competitiveness.

关 键 词：仿生算法 生态平衡机制 非确定性多项式难题(NP-hard问题) 资源配置 工程设计 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]