DETERMINISTIC GLOBAL OPTIMIZATION WITH PARTITION SETS WHOSE FEASIBILITY IS NOT KNOWN - APPLICATION TO CONCAVE MINIMIZATION, REVERSE CONVEX CONSTRAINTS, DC-PROGRAMMING, AND LIPSCHITZIAN OPTIMIZATION

被引：54
作者：
HORST, R
机构：
[1] Univ Trier, Germany
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1988年 / 58卷 / 01期
关键词：
D O I：
10.1007/BF00939768
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：
37
引用
收藏
页码：11 / 37
页数：27
相关论文
共 37 条
[1]   JOINTLY CONSTRAINED BICONVEX PROGRAMMING [J].
ALKHAYYAL, FA ;
FALK, JE .
MATHEMATICS OF OPERATIONS RESEARCH, 1983, 8 (02) :273-286
[2]   ON THE CONVERGENCE OF 2 BRANCH-AND-BOUND ALGORITHMS FOR NONCONVEX PROGRAMMING-PROBLEMS [J].
BENSON, HP .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 36 (01) :129-134
[3]   A FINITE ALGORITHM FOR CONCAVE MINIMIZATION OVER A POLYHEDRON [J].
BENSON, HP .
NAVAL RESEARCH LOGISTICS, 1985, 32 (01) :165-177
[4]   ALGORITHM FOR SEPARABLE NONCONVEX PROGRAMMING PROBLEMS [J].
FALK, JE ;
SOLAND, RM .
MANAGEMENT SCIENCE SERIES A-THEORY, 1969, 15 (09) :550-569
[5]  
FEDOROV VV, 1985, PROBLEMS CYBERNETICS
[6]   THE CUBIC ALGORITHM [J].
GALPERIN, EA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 112 (02) :635-640
[7]  
GALPERIN EA, 1986, 1986 P C INF SCI SYS, P318
[8]   A NOTE ON THE CONVERGENCE OF AN ALGORITHM FOR NON-CONVEX PROGRAMMING-PROBLEMS [J].
HORST, R .
MATHEMATICAL PROGRAMMING, 1980, 19 (02) :237-238
[9]   ON THE GLOBAL MINIMIZATION OF CONCAVE FUNCTIONS - INTRODUCTION AND SURVEY [J].
HORST, R .
OR SPEKTRUM, 1984, 6 (04) :195-205
[10]   ON THE CONVERGENCE OF GLOBAL METHODS IN MULTIEXTREMAL OPTIMIZATION [J].
HORST, R ;
TUY, H .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 54 (02) :253-271
1234