A neural network approach for nonlinear bilevel programming problem

被引：7
|
作者：
Lv, Yibing [1 ]
Hu, Tiesong [1 ]
Wan, Zhongping
机构：
[1] Wuhan Univ, Inst Syst Engn, Wuhan 430072, Peoples R China
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007) | 2007年
关键词：
nonlinear bilevel programming; neural network; asymptotic stability; optimal solution;
D O I：
10.2991/iske.2007.39
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A novel neural network approach is presented for solving nonlinear bilevel programming problem. The proposed neural network is proved to be Lyapunov stable and capable of generating optimal solution to the nonlinear bilevel programming problem. The asymptotic properties of the neural network are analyzed and the condition for asymptotic stability, solution feasibility and solution optimality are derived. The transient behavior of the neural network is simulated and the validity of the network is verified with numerical examples.
引用
收藏
页数：1
相关论文
共 50 条
  • [41] A BILEVEL BOTTLENECK PROGRAMMING PROBLEM
    MATHUR, K
    PURI, MC
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 86 (02) : 337 - 344
  • [42] On a stochastic bilevel programming problem
    Kosuch, Stefanie
    Le Bodic, Pierre
    Leung, Janny
    Lisser, Abdel
    NETWORKS, 2012, 59 (01) : 107 - 116
  • [43] Bilevel programming and the separation problem
    Lodi, Andrea
    Ralphs, Ted K.
    Woeginger, Gerhard J.
    MATHEMATICAL PROGRAMMING, 2014, 146 (1-2) : 437 - 458
  • [44] On Neural Network Approach to Computing the Quadratic Programming Problem：a Further Study
    Xia Youshen and Wu Xinyu(Nanjing University of Posts and Telecommunications
    TheJournalofChinaUniversitiesofPostsandTelecommunications, 1995, (02) : 13 - 17
  • [45] Hybridized neural network and genetic algorithms for solving nonlinear integer programming problem
    Gen, M
    Ida, K
    Lee, CY
    SIMULATED EVOLUTION AND LEARNING, 1999, 1585 : 421 - 429
  • [46] Solution algorithm for the bilevel linear programming formulation of the network design problem
    Zhao, MX
    Gao, ZY
    TRAFFIC AND TRANSPORTATION STUDIES, PROCEEDINGS, 2004, : 317 - 325
  • [47] A GENERAL BILEVEL LINEAR-PROGRAMMING FORMULATION OF THE NETWORK DESIGN PROBLEM
    BENAYED, O
    BOYCE, DE
    BLAIR, CE
    TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1988, 22 (04) : 311 - 318
  • [48] An interval programming approach for the bilevel linear programming problem under fuzzy random environments
    Ren, Aihong
    Wang, Yuping
    Xue, Xingsi
    SOFT COMPUTING, 2014, 18 (05) : 995 - 1009
  • [49] An interval programming approach for the bilevel linear programming problem under fuzzy random environments
    Aihong Ren
    Yuping Wang
    Xingsi Xue
    Soft Computing, 2014, 18 : 995 - 1009
  • [50] A DUAL-RELAX PENALTY FUNCTION APPROACH FOR SOLVING NONLINEAR BILEVEL PROGRAMMING WITH LINEAR LOWER LEVEL PROBLEM
    万仲平
    王广民
    吕一兵
    Acta Mathematica Scientia, 2011, 31 (02) : 652 - 660
12345