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一种求解约束优化问题的混合算法

龙文 梁昔明 焦建军

计算机工程与应用2012,Vol.48Issue(9):9-11,3.
计算机工程与应用2012,Vol.48Issue(9):9-11,3.DOI:10.3778/j.issn.1002-8331.2012.09.003

一种求解约束优化问题的混合算法

Hybrid algorithm for solving constrained optimization problems

龙文 1梁昔明 2焦建军3

作者信息

  • 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. 中南大学信息科学与工程学院,长沙410083
  • 折叠

摘要

Abstract

A hybrid algorithm based on modified augmented Lagrange function and PSO is proposed for solving constrained optimization problems. The general constrained optimization problem is converted into a bound constrained optimization problem. The basic steps off the proposed hybrid algorithm comprise an outer iteration and an inner iteration. The inner iteration, in which a nonlinear bound constrained minimization sub-problem of the modified augmented Lagrange multiplier, is solved by improved PSO algorithm. The outer iteration is performed to update the Lagrange multipliers and penalty parameters using a first-order update scheme, check for convergence and accordingly reinitiate another bound constrained minimization or declare convergence. The proposed algorithm is tested on 8 well-known benchmark constrained optimization problems, and the results show that it is very suitable and steadier than other algorithms from the literature for different constrained optimization problems.

关键词

增广Lagrange函数/约束优化问题/粒子群优化

Key words

augmented Lagrange function/ constrained optimization problems/ Particle Swarm Optimization

分类

信息技术与安全科学

引用本文复制引用

龙文,梁昔明,焦建军..一种求解约束优化问题的混合算法[J].计算机工程与应用,2012,48(9):9-11,3.

基金项目

国家自然科学基金(No.61074069) (No.61074069)

贵州财经学院引进人才科研项目. ()

计算机工程与应用

OACSCDCSTPCD

1002-8331

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