A proximal DC approach for quadratic assignment problem

doi:10.1007/s10589-020-00252-5

	A proximal DC approach for quadratic assignment problem
	Jiang, Zhuoxuan 2; Zhao, Xinyuan 2; Ding, Chao 1
刊名	COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
	2021-01-02
页码	27
关键词	Quadratic assignment problem Doubly nonnegative programming Augmented Lagrangian method Rank constraint
ISSN号	0926-6003
DOI	10.1007/s10589-020-00252-5
英文摘要	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.
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
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000604160400004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57946]
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, Chao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 2.Beijing Univ Technol, Coll Appl Sci, 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.