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基于BFOA的拉格朗日插值点最优配置
引用本文:赵翼翔,陈新度,陈新.基于BFOA的拉格朗日插值点最优配置[J].系统仿真学报,2012,24(10):2232-2235.
作者姓名:赵翼翔  陈新度  陈新
作者单位:广东工业大学机电工程学院,广州,510090
基金项目:国家自然科学基金(50705014;U1134004);973计划项目(2011CB013104);高等学校博士学科点专项科研基金(20114420110001);广东省教育部产学研结合项目(2009A090100013;2010A090200017)
摘    要:拉格朗日插值法是工程中常用的函数近似重构技术,其有效性与采样点的位置选择密切相关。细菌觅食优化算法(BFOA)则是一种新兴的模拟大肠杆菌觅食行为的群体智能算法,目前尚未得到广泛的应用。提出利用细菌觅食优化算法进行拉格朗日插值点的优化求解,结果优于传统方法。本研究验证了细菌觅食优化算法的有效性,同时为拉格朗日插值点的最优配置提供了新的解决思路。

关 键 词:拉格朗日插值  代理模型  细菌觅食优化  群体智能

BFOA-based Optimal Point Selection for Lagrange Interpolation
ZHAO Yi-xiang,CHEN Xin.BFOA-based Optimal Point Selection for Lagrange Interpolation[J].Journal of System Simulation,2012,24(10):2232-2235.
Authors:ZHAO Yi-xiang  CHEN Xin
Institution:-du,CHEN Xin(Faculty of Electro-Mechanical Engineering,Guangdong University of Technology,Guangzhou 510090,China)
Abstract:Lagrange interpolation is a kind of function approximation technique in engineering domain.The effectiveness of this method is closely related with the locations of interpolation points.In practice,equi-spaced points and Chebyshev points are commonly used.Bacterial Foraging Optimization Algorithm is a kind of swarm intelligence method which mimics the foraging behavior of the bacterial.Optimal interpolation points selection method was given by using the BFOA for this problem.The results show that the method can find the better points for engineering applications,so a new solution for Lagrange interpolation is proposed.And the effectiveness of BFOA was verified as well.
Keywords:Lagrange interpolation  surrogate modeling  Bacterial Foraging Optimization(BFOA)  swarm intelligence
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