Application of a global optimization method to nonlinear bilevel integer programming

被引:0
|
作者
Lei, L [1 ]
Teng, CX [1 ]
机构
[1] Tianjin Univ, Inst Syst Engn, Tianjin 300072, Peoples R China
关键词
bilevel integer programming; continuity methods; filled function;
D O I
暂无
中图分类号
F8 [财政、金融];
学科分类号
0202 ;
摘要
The algorithm for a class of nonlinear bilevel integer programming is discussed in this paper. It is based on the theory and algorithm for nonlinear integer programming. The continuity methods for integer programming are studied in this paper. After simulated annealing algorithm is applied to the upper-level programming problem and the thought of filled function method for continuous global optimization is applied to the corresponding lower-level programming, an approximate algorithm is established. The satisfactory algorithm is elaborated in the following example.
引用
收藏
页码:476 / 482
页数:7
相关论文
共 50 条
  • [1] Global optimization method for nonlinear bilevel integer programming
    Su, Wei-Ling
    Zheng, Pi-E
    Li, Tong
    [J]. Tianjin Daxue Xuebao (Ziran Kexue yu Gongcheng Jishu Ban)/Journal of Tianjin University Science and Technology, 2003, 36 (04): : 512 - 517
  • [2] A global optimization method for nonlinear bilevel programming problems
    Amouzegar, MA
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1999, 29 (06): : 771 - 777
  • [3] NONLINEAR INTEGER BILEVEL PROGRAMMING
    JAN, RH
    CHERN, MS
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1994, 72 (03) : 574 - 587
  • [4] Global Optimization of Nonlinear Bilevel Programming Problems
    Zeynep H. Gümüş
    Christodoulos A. Floudas
    [J]. Journal of Global Optimization, 2001, 20 : 1 - 31
  • [5] Global optimization of nonlinear bilevel programming problems
    Gümüs, ZH
    Floudas, CA
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2001, 20 (01) : 1 - 31
  • [6] Nonlinear integer programming and global optimization
    Zhang, LS
    Gao, F
    Zhu, WX
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 17 (02) : 179 - 190
  • [7] Global optimization of mixed-integer bilevel programming problems
    Gumus, Zeynep H.
    Floudas, Christodoulos A.
    [J]. COMPUTATIONAL MANAGEMENT SCIENCE, 2005, 2 (03) : 181 - 212
  • [8] Approximate algorithm of global optimization for a sort of nonlinear bilevel mixed integer-programming problem
    [J]. Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 2002, 22 (04):
  • [9] Discrete global descent method for discrete global optimization and nonlinear integer programming
    Ng, Chi-Kong
    Li, Duan
    Zhang, Lian-Sheng
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2007, 37 (03) : 357 - 379
  • [10] Discrete global descent method for discrete global optimization and nonlinear integer programming
    Chi-Kong Ng
    Duan Li
    Lian-Sheng Zhang
    [J]. Journal of Global Optimization, 2007, 37 : 357 - 379