运筹学学报 ›› 2015, Vol. 19 ›› Issue (3): 42-47.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.006

• 运筹学 • 上一篇    下一篇

多目标数学规划有效集的参数表示

孙尔江1,*   

  1. 1. 美国南加州爱迪生电力公司
  • 收稿日期:2015-04-24 出版日期:2015-09-15 发布日期:2015-09-15
  • 通讯作者: 孙尔江 sunej99@yahoo.com

On parametric representations of the efficient set of multiple objective mathematical programming problems

SUN Erjiang1,*   

  1. 1. Senior Energy Market Specialist,  Southern California Edison,  Rosemead,  CA 91770, USA
  • Received:2015-04-24 Online:2015-09-15 Published:2015-09-15

摘要:

研究了p-维多目标数学规划问题有效集的参数表示. 通过研究相关的单目标优化问题和相关的(p-1)-维多目标优化问题, 提出了几个新的关于p-维多目标规划有效集的表示定理.

关键词: 多目标数学规划, 有效集, 弱有效集, 参数表示

Abstract:

In this paper we present some new results that characterize the efficient solutions of a p-dimensional multiple objective mathematical programming (MOMP). These characterizations are in terms of the optimal solutions of appropriate scalar optimization problems or in terms of efficient solutions of appropriate (p-1)-dimensional parametric MOMP.

Key words: multiple objective mathematical programming, efficient set, weakly efficient set, parametric representations