基于圆弧曲线迁移率模型的生物地理学优化算法
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作者单位:

1.重庆师范大学 数学科学学院;2.重庆国家应用数学中心

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基金项目:

重庆市社科规划培育项目(2021PY50),重庆市教委科学技术研究项目(KJQN202200543),重庆市科委科学研究重点项目(CSTB2023NSCQ-LZX0037),国家重点研发计划重点专项(SQ2023YFA1000183),重庆市研究生科研创新项目(CYS23414)


Biogeography-Based Optimization Algorithm with Circular Curve Mobility Model
Author:
Affiliation:

1.College of Mathematical Sciences,Chongqing Normal University;2.National Center for Applied Mathematics in Chongqing

Fund Project:

Supported by the Chongqing Social Science Planning and Cultivation Project(2021PY50), the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJKJQN202200543), the Key Scientific Research Projects of Chongqing Municipal Science and Technology Commission(CSTB2023NSCQ-LZX0037), the National Key R&D Program Key Special Projects(SQ2023YFA1000183), the Chongqing Municipal Graduate Research Innovation Project(CYS23414).

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    摘要:

    【目的】迁移操作是生物地理学优化算法(Biogeography-based optimization, BBO)中的核心部分,通过改进迁移率模型可以更好的实现信息交换,从而提升算法的全局搜索能力。【方法】针对传统BBO采用线性迁移率模型搜索能力弱的问题,提出了一种迁入率(迁出率)函数曲线随物种数量先平缓递减(或递增)再快速递减(或递增)的圆弧曲线迁移率模型,其能更好的在全局范围内寻优。【结果】首先介绍了BBO的原理及过程,并建立了该算法核心中的迁移率模型,最后将该模型下的BBO与线性、余弦和双曲正切迁移率模型下的BBO进行对比分析。【结论】分别对12个典型的测试函数进行优化性能测试及对比分析,结果显示,相比于线性、余弦和双曲正切迁移率模型,圆弧曲线迁移率模型下的BBO在寻优最小值、平均最小值和方差性能指标方面有一定的提升。

    Abstract:

    [Purposes] The migration operation is a crucial part of Biogeography-based optimization (BBO) algorithm, and improving the migration rate model can enhance information exchange and the global search capability of the algorithm. [Methods] To address the weak search capability issue of the traditional BBO using a linear migration rate model, a circular arc migration rate model is proposed, where the migration rate function curve gradually decreases (or increases) with the number of species and then rapidly decreases (or increases). This model performs better in achieving global optimization. [Finding] Firstly,the principle and process of BBO are introduced, and the migration rate model, which is the core of the algorithm, is established. Finally, the BBO with the proposed circular arc migration rate model is compared and analyzed against the BBO with linear, cosine, and hyperbolic tangent migration rate models. [Conclusions] Through performance testing and comparative analysis on 12 typical test functions, the results show that compared to the linear, cosine, and hyperbolic tangent migration rate models, the BBO with the circular arc migration rate model demonstrates improvements in terms of optimization minimum value,average minimum value, and variance performance indicators.

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  • 收稿日期:2023-06-06
  • 最后修改日期:2024-06-25
  • 录用日期:2024-09-04
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