计算机应用 ›› 2014, Vol. 34 ›› Issue (1): 179-181.DOI: 10.11772/j.issn.1001-9081.2014.01.0179

• 人工智能 • 上一篇    下一篇

解决高维优化问题的差分进化算法

王旭,赵曙光   

  1. 东华大学 信息科学与技术学院,上海 201620
  • 收稿日期:2013-07-25 修回日期:2013-09-08 出版日期:2014-01-01 发布日期:2014-02-14
  • 通讯作者: 王旭
  • 作者简介:王旭(1983-),女,黑龙江鹤岗人,博士研究生, 主要研究方向:进化计算、可逆逻辑综合;赵曙光(1965-),男, 陕西西安人,教授,博士生导师,博士,主要研究方向:人工智能、电路进化设计。
  • 基金资助:

    国家自然科学基金资助项目;上海市教委科研创新重点项目

Differential evolution algorithm for high dimensional optimization problem

WANG Xu,ZHAO Shuguang   

  1. College of Information Science and Technology, Donghua University, Shanghai 201620, China
  • Received:2013-07-25 Revised:2013-09-08 Online:2014-01-01 Published:2014-02-14
  • Contact: WANG Xu

摘要: 针对高维优化问题难以解决并且优化耗费时间长的问题,提出了一种解决高维优化问题的差分进化算法。将协同进化思想引入到差分进化领域,采用一种由状态观测器和随机分组策略组成的协同进化方案。其中,状态观测器根据搜索状态反馈信息适时地调用随机分组策略重新分组;随机分组策略将高维优化问题分解为若干较低维的子问题,而后分别进化。该方案有效地增强了算法解决高维优化问题的搜索速度和搜索能力。经典型的实例测试,并与其他一流差分进化算法比较,实验结果表明:所提算法能有效地求解不同类型的高维优化问题,在搜索速度方面有明显提升,尤其对可分解的高维优化问题极具竞争力。

关键词: 进化算法, 差分进化, 协同进化, 分组, 高维优化

Abstract: In order to solve the problem that high dimensional optimization problem is hard to optimize and time-consuming, a Differential Evolution for High Dimensional optimization problem (DEHD) was proposed. By introducing coevolutionary to differential evolution, a new coevolution scheme was adopted, which consisted of state observer and random grouping strategy. Specifically, state observer activated random grouping strategy according to the feedback of search status while random grouping strategy decomposed high dimensional problem into several smaller ones and then evolved them separately. The scheme enhanced the algorithm's search speed and effectiveness. The experimental results show that the proposed algorithm is effective and efficient while solving various high dimensional optimization problems. In particular, its search speed improves significantly. Therefore, the proposed algorithm is competitive on separable high dimensional problems.

Key words: evolutionary algorithm, differential evolution, coevolution, grouping, high dimensional optimization

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