计算机应用 ›› 2012, Vol. 32 ›› Issue (06): 1704-1706.DOI: 10.3724/SP.J.1087.2012.01704

• 先进计算 • 上一篇    下一篇

基于组合遗传算法的反应动力学模型参数估计

龙文1,2,焦建军1,2,徐松金3   

  1. 1. 贵州财经学院 贵州省经济系统仿真重点实验室, 贵阳 550004
    2. 贵州财经学院 数学与统计学院, 贵阳 550004
    3. 铜仁学院 数学与计算机科学系,贵州 铜仁 554300
  • 收稿日期:2011-12-12 修回日期:2012-02-08 发布日期:2012-06-04 出版日期:2012-06-01
  • 通讯作者: 龙文
  • 作者简介:龙文(1977-), 男, 湖南隆回人,讲师, 博士,主要研究方向:进化计算、约束优化及应用; 〓焦建军(1973-),男,湖南邵阳人,教授,博士,主要研究方向:复杂系统建模与优化、优化方法;〓徐松金(1972-),男,湖南隆回人,讲师,硕士,主要研究方向:进化算法。
  • 基金资助:
    国家自然科学基金

Parameter estimation for reaction kinetics model based on composite genetic algorithm

LONG Wen1,2,JIAO Jian-jun1,2,XU Song-jin3   

  1. 1. Guizhou Key Laboratory of Economic System Simulation, Guizhou University of Finance and Economics, Guiyang Guizhou 550004, China
    2. School of Mathematical and Statistics, Guizhou University of Finance and Economics, Guiyang Guizhou 550004, China
    3. Department of Mathematics and Computer Science, Tongren University, Tongren Guizhou 554300, China
  • Received:2011-12-12 Revised:2012-02-08 Online:2012-06-04 Published:2012-06-01
  • Contact: LONG Wen
  • Supported by:
    the National Natural Science Foundation of China under Grant

摘要: 通过构造一个适当的适应度函数,将渣油加氢精制反应动力学模型的参数估计问题转化为一个多维优化问题,然后提出一种组合遗传算法来求解该优化问题。该算法利用混沌序列初始化种群以保证其均匀分布在搜索空间中。在每次迭代过程中随机组合不同的交叉策略和变异以产生若干个新的子代个体。对四个标准数值优化问题进行了仿真实验,仿真结果表明了组合遗传算法的有效性。以石油炼制工业中典型装置催化裂化为例,对渣油加氢精制反应动力学模型的参数进行了优化,获得了满意的结果。

关键词: 组合遗传算法, 渣油加氢精制, 反应动力学模型, 参数估计, 混沌

Abstract: Through establishing an appropriate fitness function, the parameter estimation problem for residue hydrofining reaction kinetics model was formulated as a multi-dimensional functional optimization problem, which can be solved by Composite Genetic Algorithm (CGA). Chaotic sequences design method was introduced to construct the initialization population that was scattered uniformly over the entirely search space in order to maintain the diversity. The CGA randomly combined several effective crossover strategies with some suitable mutation strategies at each generation to create new offspring individuals. The simulation results on four benchmark problems demonstrate the effectiveness and robustness of the proposed algorithm. Taking a catalytic cracking unit in oil refinery as an example, a numerical application of the parameter estimation for residue hydrofining reaction kinetics model was solved. Satisfactory results were obtained.

Key words: composite genetic algorithm, residue hydrofining, reaction kinetics model, parameter estimation, chaotic