共 15 条
A Branch and Bound Reduced Algorithm for Quadratic Programming Problems with Quadratic Constraints
被引:2
作者:

Gao, Yuelin
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机构:
Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China

Li, Feifei
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机构:
Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China

Jin, Siqiao
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机构:
Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China
机构:
[1] Beifang Univ Nationalities, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China
关键词:
OPTIMIZATION;
D O I:
10.1155/2013/594693
中图分类号:
T [工业技术];
学科分类号:
08 ;
摘要:
We propose a branch and bound reduced algorithm for quadratic programming problems with quadratic constraints. In this algorithm, we determine the lower bound of the optimal value of original problem by constructing a linear relaxation programming problem. At the same time, in order to improve the degree of approximation and the convergence rate of acceleration, a rectangular reduction strategy is used in the algorithm. Numerical experiments show that the proposed algorithm is feasible and effective and can solve small-and medium-sized problems.
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共 15 条
[1]
A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
[J].
Audet, C
;
Hansen, P
;
Jaumard, B
;
Savard, G
.
MATHEMATICAL PROGRAMMING,
2000, 87 (01)
:131-152

Audet, C
论文数: 0 引用数: 0
h-index: 0
机构: Rice Univ, CAAM, Houston, TX 77005 USA

Hansen, P
论文数: 0 引用数: 0
h-index: 0
机构: Rice Univ, CAAM, Houston, TX 77005 USA

Jaumard, B
论文数: 0 引用数: 0
h-index: 0
机构: Rice Univ, CAAM, Houston, TX 77005 USA

Savard, G
论文数: 0 引用数: 0
h-index: 0
机构: Rice Univ, CAAM, Houston, TX 77005 USA
[2]
Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons
[J].
Bao, Xiaowei
;
Sahinidis, Nikolaos V.
;
Tawarmalani, Mohit
.
MATHEMATICAL PROGRAMMING,
2011, 129 (01)
:129-157

Bao, Xiaowei
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Illinois, Dept Chem & Biomol Engn, Urbana, IL 61801 USA Carnegie Mellon Univ, Dept Chem Engn, Pittsburgh, PA 15213 USA

Sahinidis, Nikolaos V.
论文数: 0 引用数: 0
h-index: 0
机构:
Carnegie Mellon Univ, Dept Chem Engn, Pittsburgh, PA 15213 USA Carnegie Mellon Univ, Dept Chem Engn, Pittsburgh, PA 15213 USA

Tawarmalani, Mohit
论文数: 0 引用数: 0
h-index: 0
机构:
Purdue Univ, Krannert Sch Management, W Lafayette, IN 47907 USA Carnegie Mellon Univ, Dept Chem Engn, Pittsburgh, PA 15213 USA
[3]
Representing quadratically constrained quadratic programs as generalized copositive programs
[J].
Burer, Samuel
;
Dong, Hongbo
.
OPERATIONS RESEARCH LETTERS,
2012, 40 (03)
:203-206

论文数: 引用数:
h-index:
机构:

Dong, Hongbo
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Wisconsin, Wisconsin Inst Discovery, Madison, WI 53715 USA Univ Wisconsin, Wisconsin Inst Discovery, Madison, WI 53715 USA
[4]
A new rectangle branch-and-reduce approach for solving nonconvex quadratic programming problems
[J].
Gao, YL
;
Xue, HG
;
Shen, PP
.
APPLIED MATHEMATICS AND COMPUTATION,
2005, 168 (02)
:1409-1418

Gao, YL
论文数: 0 引用数: 0
h-index: 0
机构:
NW Secondly Natl Coll, Dept Informat & Computat Sci, Yin Chuan 750021, Peoples R China NW Secondly Natl Coll, Dept Informat & Computat Sci, Yin Chuan 750021, Peoples R China

Xue, HG
论文数: 0 引用数: 0
h-index: 0
机构: NW Secondly Natl Coll, Dept Informat & Computat Sci, Yin Chuan 750021, Peoples R China

Shen, PP
论文数: 0 引用数: 0
h-index: 0
机构: NW Secondly Natl Coll, Dept Informat & Computat Sci, Yin Chuan 750021, Peoples R China
[5]
Solution existence and stability of quadratically constrained convex quadratic programs
[J].
Kim, D. S.
;
Tam, N. N.
;
Yen, N. D.
.
OPTIMIZATION LETTERS,
2012, 6 (02)
:363-373

Kim, D. S.
论文数: 0 引用数: 0
h-index: 0
机构:
Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

Tam, N. N.
论文数: 0 引用数: 0
h-index: 0
机构:
Hanoi Pedag Inst 2, Dept Math, Me Linh, Vinh Phuc, Vietnam Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

Yen, N. D.
论文数: 0 引用数: 0
h-index: 0
机构:
Vietnamese Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
[6]
A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
[J].
Linderoth, J
.
MATHEMATICAL PROGRAMMING,
2005, 103 (02)
:251-282

Linderoth, J
论文数: 0 引用数: 0
h-index: 0
机构:
Lehigh Univ, Dept Ind & Syst Engn, Bethlehem, PA 18015 USA Lehigh Univ, Dept Ind & Syst Engn, Bethlehem, PA 18015 USA
[7]
A deterministic global optimization algorithm based on a linearizing method for nonconvex quadratically constrained programs
[J].
Qu, Shao-Jian
;
Ji, Ying
;
Zhang, Ke-Cun
.
MATHEMATICAL AND COMPUTER MODELLING,
2008, 48 (11-12)
:1737-1743

Qu, Shao-Jian
论文数: 0 引用数: 0
h-index: 0
机构:
Harbin Inst Technol, Harbin 150080, Peoples R China Harbin Inst Technol, Harbin 150080, Peoples R China

Ji, Ying
论文数: 0 引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China Harbin Inst Technol, Harbin 150080, Peoples R China

Zhang, Ke-Cun
论文数: 0 引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China Harbin Inst Technol, Harbin 150080, Peoples R China
[8]
Convex optimization approach to a single quadratically constrained quadratic minimization problem
[J].
Salahi, Maziar
.
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH,
2010, 18 (02)
:181-187

Salahi, Maziar
论文数: 0 引用数: 0
h-index: 0
机构:
Univ Guilan, Dept Math, Rasht, Iran Univ Guilan, Dept Math, Rasht, Iran
[9]
Convex relaxation and Lagrangian decomposition for indefinite integer quadratic programming
[J].
Sun, X. L.
;
Li, J. L.
;
Luo, H. Z.
.
OPTIMIZATION,
2010, 59 (05)
:627-641

Sun, X. L.
论文数: 0 引用数: 0
h-index: 0
机构:
Fudan Univ, Dept Management Sci, Sch Management, Shanghai 200433, Peoples R China Fudan Univ, Dept Management Sci, Sch Management, Shanghai 200433, Peoples R China

Li, J. L.
论文数: 0 引用数: 0
h-index: 0
机构:
Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China Fudan Univ, Dept Management Sci, Sch Management, Shanghai 200433, Peoples R China

Luo, H. Z.
论文数: 0 引用数: 0
h-index: 0
机构:
Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310032, Zhejiang, Peoples R China Fudan Univ, Dept Management Sci, Sch Management, Shanghai 200433, Peoples R China
[10]
A robust algorithm for quadratic optimization under quadratic constraints
[J].
Tuy, Hoang
;
Hoai-Phuong, N. T.
.
JOURNAL OF GLOBAL OPTIMIZATION,
2007, 37 (04)
:557-569

Tuy, Hoang
论文数: 0 引用数: 0
h-index: 0
机构:
Inst Math, Hanoi, Vietnam Inst Math, Hanoi, Vietnam

Hoai-Phuong, N. T.
论文数: 0 引用数: 0
h-index: 0
机构:
Inst Math, Hanoi, Vietnam Inst Math, Hanoi, Vietnam