A PROBABILISTIC HEURISTIC FOR A COMPUTATIONALLY DIFFICULT SET COVERING PROBLEM

被引:600
作者
FEO, TA [1 ]
RESENDE, MGC [1 ]
机构
[1] UNIV CALIF BERKELEY,BERKELEY,CA 94720
关键词
Optimization - Probability - Systems Science and Cybernetics--Heuristic Programming;
D O I
10.1016/0167-6377(89)90002-3
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
An efficient probabilistic set covering heuristic is presented. The heuristic is evaluated on empirically difficult to solve set covering problems that arise from Steiner triple systems. The optimal solution to only a few of these instances is known. The heuristic provides these solutions as well as the best known solutions to all other instances attempted.
引用
收藏
页码:67 / 71
页数:5
相关论文
共 13 条
[1]   A NOTE ON SOME COMPUTATIONALLY DIFFICULT SET COVERING PROBLEMS [J].
AVIS, D .
MATHEMATICAL PROGRAMMING, 1980, 18 (02) :138-145
[2]  
BALAS E, 1980, MATH PROGRAM STUD, V12, P37, DOI 10.1007/BFb0120886
[3]  
BARD JF, 1987, OPERATIONS SEQUENCIN
[4]  
BARD JF, 1987, MINIMIZING ACQUISITI
[5]  
Chvatal V., 1979, Mathematics of Operations Research, V4, P233, DOI 10.1287/moor.4.3.233
[6]  
FEO TA, 1987, NETWORK APPROACH FLI
[7]  
Fulkerson D.R., 1974, MATH PROGRAMMING STU, V2, P72
[8]  
Garey M. R., 1979, COMPUTERS INTRACTABI
[9]   AN IMPROVED IMPLICIT ENUMERATION APPROACH FOR INTEGER PROGRAMMING [J].
GEOFFRIO.AM .
OPERATIONS RESEARCH, 1969, 17 (03) :437-&
[10]  
Hall M., 1967, COMBINATORIAL THEORY