Multiobjective Optimization Method for Solving Nonlinear Complementarity Problem

摘要：

In last decades, there has been much effort on the solution and the analysis of the nonlinear complementarity problem (NCP) by reformulating NCP as an unconstrained minimization. In this paper, we propose a new method for the NCP under the condition that the solution exists. We formulate the NCP into a multiobjective optimization problem (MOP), and define zero-efficient solution of MOP. Then we indicate that zero-efficient solution of the MOP is also the solution to the NCP. Finally we use minimax method for the MOP. Numerical results indicate that the proposed method is promising.

关键词： Nonlinear complementarity problem Multiobjective optimization problem Zero-efficient solution Minimax method

作者: Longquan Yong

作者单位: Department of Mathematics, Shaanxi University of Technology, Hanzhong 723001, China

会议类型: 国际会议

会议名称: 2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

会议地点: 四川绵阳

会议语种:英文

页码: 3304-3307

在线出版日期: 2011-05-23（万方平台首次上网日期，不代表论文的发表时间）