A proximal DC approach for quadratic assignment problem

doi:10.1007/s10589-020-00252-5

CSpace > 应用数学研究所

	A proximal DC approach for quadratic assignment problem
	Jiang, Zhuoxuan 1; Zhao, Xinyuan 1; Ding, Chao2
	2021-01-02
发表期刊	COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
ISSN	0926-6003
页码	27
摘要	In this paper, we show that the quadratic assignment problem (QAP) can be reformulated to an equivalent rank constrained doubly nonnegative (DNN) problem. Under the framework of the difference of convex functions (DC) approach, a semi-proximal DC algorithm is proposed for solving the relaxation of the rank constrained DNN problem whose subproblems can be solved by the semi-proximal augmented Lagrangian method. We show that the generated sequence converges to a stationary point of the corresponding DC problem, which is feasible to the rank constrained DNN problem under some suitable assumptions. Moreover, numerical experiments demonstrate that for most QAP instances, the proposed approach can find the global optimal solutions efficiently, and for others, the proposed algorithm is able to provide good feasible solutions in a reasonable time.
关键词	Quadratic assignment problem Doubly nonnegative programming Augmented Lagrangian method Rank constraint
DOI	10.1007/s10589-020-00252-5
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11671387] ; National Natural Science Foundation of China[11531014] ; National Natural Science Foundation of China[11688101] ; General Program of Science and Technology of Beijing Municipal Education Commission[KM201810005004] ; Beijing Natural Science Foundation[Z190002]
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000604160400004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57947
专题	应用数学研究所
通讯作者	Ding, Chao
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Zhuoxuan,Zhao, Xinyuan,Ding, Chao. A proximal DC approach for quadratic assignment problem[J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS,2021:27.
APA	Jiang, Zhuoxuan,Zhao, Xinyuan,&Ding, Chao.(2021).A proximal DC approach for quadratic assignment problem.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS,27.
MLA	Jiang, Zhuoxuan,et al."A proximal DC approach for quadratic assignment problem".COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2021):27.