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中国工业与应用数学学会会刊
主管:中华人民共和国教育部
主办:西安交通大学
ISSN 1005-3085  CN 61-1269/O1

工程数学学报 ›› 2023, Vol. 40 ›› Issue (1): 135-146.doi: 10.3969/j.issn.1005-3085.2023.01.010

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求解约束优化问题的改进布谷鸟搜索算法

郑洪清1,   冯文健2   

  1. 1. 广西职业师范学院教育学院,南宁 530007;2. 广西生态工程职业技术学院,柳州 545003
  • 出版日期:2023-02-15 发布日期:2023-04-11
  • 通讯作者: 冯文健 E-mail: 165600846@qq.com

An Improved Cuckoo Search Algorithm for Solving Constrained Optimization Problem and Engineering Applications

ZHENG Hongqing1,   FENG Wenjian2   

  1. 1. College of Education, Guangxi Vocational Normal University, Nanning 530007;
    2. Guangxi Eco-engineering Vocational & Technical College, Liuzhou 545003
  • Online:2023-02-15 Published:2023-04-11
  • Contact: W. Feng. E-mail address: 165600846@qq.com

摘要:

为了提高约束优化问题的求解精度和收敛速度,提出求解约束优化问题的改进布谷鸟搜索算法。首先分析了基本布谷鸟搜索算法全局搜索和局部搜索过程中的不足,对其中全局搜索和局部搜索迭代公式进行重新定义,然后以一定概率在最优解附近进行搜索。对 12 个标准约束优化问题和 4 个工程约束优化问题进行测试并与多种算法进行对比,实验结果和统计分析表明所提算法在求解约束优化问题上具有较强的优越性。

关键词: 约束优化问题, 布谷鸟搜索算法, 罚因子

Abstract:

An improved cuckoo search algorithm for constrained optimization problem is proposed to improve the convergence accuracy and convergence speed in solving constrained optimization problem. Firstly, the shortcomings of global search and local search in the basic cuckoo search algorithm are analyzed, the global search and local search are redefined, and then the search is carried out in the vicinity of the optimal solution with a certain probability. The 12 standard constraint optimization problems and 4 engineering constraint optimization problems are tested and compared with a variety of algorithms, Experimental results and statistical analysis show that the proposed algorithm is superior in solving constrained optimization problems.

Key words: constraint optimization problems, cuckoo search algorithm, penalty factor

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