Multiobjective Hieararchical Optimization Problems with Many Followers

摘要：

Our hierarchical optimization problem consists of a leader and n followers. At the upper level, the leader is interest ed in finding a multiobjective solution to a minimization problem in that the objective mapping depends on the set of decision variables, the rational response set, of all the followers. At the lower level, each follower, while minimizing its own objective function, is assume to have the knowledge of all the other followers optimal decisions, and thus tries to obtain a Nash equilibrium. In this paper, we develop optimality conditions for this type of problems with various specific properties.

关键词： Hierarchical Optimization Mutistage Bilevel Programming Multiobjective Programming,Variation Analysis Coderivatives

作者: Roxin Zhang Bao Trong Qinghong Zhang

作者单位: Department of Mathematics, Northern Michigan University,Marquette, MI 49855, USA Department of Mathematics, Northern Michigan University, Marquette, MI 49855, USA

会议类型: 国际会议

会议名称: The First World Congress on Global Optimization in Engineering & Science(第一届工程与科学全局优化国际会议 WCGO2009)

会议地点: 长沙

会议语种:英文

页码: 23-31

在线出版日期: 2009-06-01（万方平台首次上网日期，不代表论文的发表时间）