Homotopy Continuous Method for Weak Efficient Solution of Multiobjective Optimization Problem with Feasible Set Unbounded Condition

• 作者: Boying Wu Wei Xing
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: MULTIOBJECTIVE Optimization Problem Feasible Set UNBOUNDED HOMOTOPY Continuous Method Global CONVERGENCE
• 年，卷（期）: 2012,（7）
• 页码范围: 765-771
• 页数: 7页
• 分类号: O1

摘要

In this paper, we propose a homotopy continuous method (HCM) for solving a weak efficient solution of multiobjective optimization problem (MOP) with feasible set unbounded condition, which is arising in Economical Distributions, Engineering Decisions, Resource Allocations and other field of mathematical economics and engineering problems. Under the suitable assumption, it is proved to globally converge to a weak efficient solution of (MOP), if its x-branch has no weak infinite solution.