A General Class of Convexification Transformation for the Noninferior Frontier of a Multiobjective Program

• 作者: Tao Li Yanjun Wang Zhian Liang
• 来源期刊: 美国运筹学期刊(英文)
• 学科: 数学
• 关键词: Noninferior FRONTIER CONVEXIFICATION Weighting Method MULTIOBJECTIVE Optimization
• 年，卷（期）: 2013,（3）
• 页码范围: 387-392
• 页数: 6页
• 分类号: O1

摘要

A general class of convexification transformations is proposed to convexify the noninferior frontier of a multiobjective program. We prove that under certain assumptions the noninferior frontier could be convexified completely or partly after transformation and then weighting method can be applied to identify the noninferior solutions. Numerical experiments are given to vindicate our results.