Linear bilevel programming solution by genetic algorithm

被引:138
作者
Hejazi, SR
Memariani, A
Jahanshahloo, G
Sepehri, MM
机构
[1] Tarbiat Modarres Univ, Dept Ind Engn, Tehran 4838, Iran
[2] Teacher Training Univ, Dept Math, Tehran, Iran
关键词
optimization; bilevel programming; genetic algorithm;
D O I
10.1016/S0305-0548(01)00066-1
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Bilevel programming, a tool for modeling decentralized decisions, consists of the objective of the leader at its first level and that of the follower at the second level. Bilevel programming has been proved to be NP-hard problem. Numerous algorithms have been developed so far for solving bilevel programming problem. In this paper, an attempt has been made to develop an efficient approach based on genetic algorithm. The efficiency of the algorithm is ascertained by comparing the results with Gendreau et al. (J. Global Optimization 8 (1996) 217-233) method.
引用
收藏
页码:1913 / 1925
页数:13
相关论文
共 22 条
[1]   A SOLUTION METHOD FOR THE LINEAR STATIC STACKELBERG PROBLEM USING PENALTY-FUNCTIONS [J].
ANANDALINGAM, G ;
WHITE, DJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (10) :1170-1173
[2]   A BRANCH AND BOUND ALGORITHM FOR THE BILEVEL PROGRAMMING PROBLEM [J].
BARD, JF ;
MOORE, JT .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1990, 11 (02) :281-292
[3]   COMPUTATIONAL DIFFICULTIES OF BILEVEL LINEAR-PROGRAMMING [J].
BENAYED, O ;
BLAIR, CE .
OPERATIONS RESEARCH, 1990, 38 (03) :556-560
[4]   ON 2-LEVEL OPTIMIZATION [J].
BIALAS, WF ;
KARWAN, MH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (01) :211-214
[5]   2-LEVEL LINEAR-PROGRAMMING [J].
BIALAS, WF ;
KARWAN, MH .
MANAGEMENT SCIENCE, 1984, 30 (08) :1004-1020
[6]   A LINEAR BILEVEL PROGRAMMING ALGORITHM - A COMMENT [J].
CANDLER, W .
COMPUTERS & OPERATIONS RESEARCH, 1988, 15 (03) :297-298
[7]  
CLARK PA, 1988, NAV RES LOG, V35, P413, DOI 10.1002/1520-6750(198810)35:5<413::AID-NAV3220350505>3.0.CO
[8]  
2-6
[9]  
Falk J. E., 1973, Mathematical Programming, V5, P169, DOI 10.1007/BF01580119
[10]  
FORTUNYAMAT J, 1981, J OPER RES SOC, V32, P783, DOI 10.2307/2581394