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一类全局优化问题的线性松弛方法

尹景本 薛春善

重庆工学院学报(自然科学版)2008,Vol.22Issue(4):63-66,4.
重庆工学院学报(自然科学版)2008,Vol.22Issue(4):63-66,4.

一类全局优化问题的线性松弛方法

Linear Relaxation Method for a Class of Global Optimization Problems

尹景本 1薛春善2

作者信息

  • 1. 河南科技学院,数学系,河南,新乡453003
  • 2. 周口师范学院,数学系,河南,周口466001
  • 折叠

摘要

Abstract

In this paper a linear relaxation method is proposed for a class of global optimization problem (P). By utilizing linearization technique, the relaxation linear programming (RLP) about the (P) is established, thus the initial non-convex problem (P) is reduced to a series of linear programming (RLP). The proposed algorithm is convergent to the global minimum of (P) through the successive refinement of the feasible region and solutions of a series of RLP. And finally the numerical experiment is given to illustrate the feasibility of the presented algorithm.

关键词

线性松弛方法/线性规划/分枝定界

Key words

linearization relaxation method/ linear programming/ branch-and-bound

分类

数理科学

引用本文复制引用

尹景本,薛春善..一类全局优化问题的线性松弛方法[J].重庆工学院学报(自然科学版),2008,22(4):63-66,4.

基金项目

河南科技学院自然科学基础研究项目(06055) (06055)

河南科技学院青年骨干教师资助项目(07022). (07022)

重庆工学院学报(自然科学版)

OACSTPCD

1674-8425

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