Homotopy Interior-point Method of Solving Minimal Weak Efficient Solution for a Multi-objective Programming Problem

HE Li; JIN Jian-lu; TAN Jia-wei; LIU Qing-huai

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Homotopy Interior-point Method of Solving Minimal Weak Efficient Solution for a Multi-objective Programming Problem

更新时间：2026-07-10

- Homotopy Interior-point Method of Solving Minimal Weak Efficient Solution for a Multi-objective Programming Problem
- Vol. 15, Issue 6, Pages: 62-65(2010)
- 作者机构：
  
  长春工业大学基础科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O221.6
- Published：2010
- 稿件说明：
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HE Li, JIN Jian-lu, TAN Jia-wei, et al. Homotopy Interior-point Method of Solving Minimal Weak Efficient Solution for a Multi-objective Programming Problem[J]. 2010, 15(6): 62-65.
DOI：

HE Li, JIN Jian-lu, TAN Jia-wei, et al. Homotopy Interior-point Method of Solving Minimal Weak Efficient Solution for a Multi-objective Programming Problem[J]. 2010, 15(6): 62-65. DOI：

摘要

本文针对客观实际中不同决策者在已有条件下自我需求实现问题

根据自报公议原则

将多目标优化问题转化成含有权系数变量的一个新单目标优化问题.利用组合同伦内点法来求解单目标问题

通过路径跟踪得到多目标优化问题的最小弱有效解

从而实现公议

达到相对最佳目的

并证明了该方法是整体收敛的.

Abstract

In order to fulfill the different needs of different decision-makers

the multi-objective optimization problem has been translated into a new single-object optimization problem with weight factors according to the self-assessment and public discussion principle.Combined homotopy interior-point method is used to solve the single-object optimization problem.The minimal weak efficient solution of the multi-objective optimization problem has been obtained by path tracking.The convergence of this method has also ...

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