A computational comparison of some branch and bound methods for indefinite quadratic programs

被引:4
作者
Cambini, Riccardo [1 ]
Sodini, Claudio [1 ]
机构
[1] Univ Pisa, Fac Econ, Dept Appl Math & Stat, I-56124 Pisa, Italy
关键词
quadratic programming; branch and bound; d.c; decomposition;
D O I
10.1007/s10100-007-0049-4
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
The aim of this paper is to discuss different branch and bound methods for solving indefinite quadratic programs. In these methods the quadratic objective function is decomposed in a d.c. form and the relaxations are obtained by linearizing the concave part of the decomposition. In this light, various decomposition schemes have been considered and studied. The various branch and bound solution methods have been implemented and compared by means of a deep computational test.
引用
收藏
页码:139 / 152
页数:14
相关论文
共 29 条
[1]  
[Anonymous], 1998, CONVEX ANAL GLOBAL O
[2]  
[Anonymous], 1960, THEORY MATRICES
[3]   An algorithm for global minimization of linearly constrained quadratic functions [J].
Barrientos, O ;
Correa, R .
JOURNAL OF GLOBAL OPTIMIZATION, 2000, 16 (01) :77-93
[4]   Global and local quadratic minimization [J].
Best, MJ ;
Ding, B .
JOURNAL OF GLOBAL OPTIMIZATION, 1997, 10 (01) :77-90
[5]   A decomposition method for global and local quadratic minimization [J].
Best, MJ ;
Ding, B .
JOURNAL OF GLOBAL OPTIMIZATION, 2000, 16 (02) :133-151
[6]   Undominated d.c. decompositions of quadratic functions and applications to branch-and-bound approaches [J].
Bomze, IM ;
Locatelli, M .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2004, 28 (02) :227-245
[7]   Branch-and-bound approaches to standard quadratic optimization problems [J].
Bomze, IM .
JOURNAL OF GLOBAL OPTIMIZATION, 2002, 22 (1-4) :17-37
[8]   A FINITE ALGORITHM FOR SOLVING GENERAL QUADRATIC PROBLEMS [J].
BOMZE, IM ;
DANNINGER, G .
JOURNAL OF GLOBAL OPTIMIZATION, 1994, 4 (01) :1-16
[9]   Decomposition methods for solving nonconvex quadratic programs via branch and bound [J].
Cambini, R ;
Sodini, C .
JOURNAL OF GLOBAL OPTIMIZATION, 2005, 33 (03) :313-336
[10]  
CHURILOV L, 1999, APPL OPTIMIZATION, V30