Multiobjective optimization with least constraint violation: optimality conditions and exact penalization

doi:10.1007/s10898-022-01158-8

	Multiobjective optimization with least constraint violation: optimality conditions and exact penalization
	Chen, Jiawei 3; Dai, Yu-Hong 1,2
刊名	JOURNAL OF GLOBAL OPTIMIZATION
	2022-04-15
页码	24
关键词	Multiobjective optimization with least constraint violation Optimality conditions Exact penalization Calmness Infeasibility condition
ISSN号	0925-5001
DOI	10.1007/s10898-022-01158-8
英文摘要	Although multiobjective optimization problem (MOP) is useful for solving many practical optimization problems, it is possible that the constraints are inconsistent. In this paper, we reformulate MOP with possible inconsistent constraints into MOP with least constraint violation and provide necessary optimality conditions from the perspective of M-stationary point, Fritz-John stationary point and L-stationary point. A power penalty problem is proposed by using infeasibility measure of constraints. The calmness conditions of order l of the MOP with least constraint violation and the local exact penalization of order l of the power penalty problem are respectively introduced, which do not require the feasibility of the original MOP. We obtain the equivalence between the calmness of order l of the MOP with least constraint violation and the local exact penalization of order l of the power penalty problem. Necessary and sufficient conditions for calmness of order l are also established under suitable conditions.
资助项目	National Natural Science Foundation of China[12021001] ; National Natural Science Foundation of China[11991020] ; National Natural Science Foundation of China[11991021] ; National Natural Science Foundation of China[11631013] ; National Natural Science Foundation of China[11971372] ; Natural Science Foundation of Chongqing[cstc2021jcyj-msxmX0925] ; Youth Top Talent Program of Chongqing Talents ; Strategic Priority Research Program of Chinese Academy of Sciences[XDA27000000]
WOS研究方向	Operations Research & Management Science ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000782732700001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60349]
专题	中国科学院数学与系统科学研究院
通讯作者	Dai, Yu-Hong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
推荐引用方式 GB/T 7714	Chen, Jiawei,Dai, Yu-Hong. Multiobjective optimization with least constraint violation: optimality conditions and exact penalization[J]. JOURNAL OF GLOBAL OPTIMIZATION,2022:24.
APA	Chen, Jiawei,&Dai, Yu-Hong.(2022).Multiobjective optimization with least constraint violation: optimality conditions and exact penalization.JOURNAL OF GLOBAL OPTIMIZATION,24.
MLA	Chen, Jiawei,et al."Multiobjective optimization with least constraint violation: optimality conditions and exact penalization".JOURNAL OF GLOBAL OPTIMIZATION (2022):24.