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

doi:10.1007/s10898-022-01158-8

CSpace

	Multiobjective optimization with least constraint violation: optimality conditions and exact penalization
	Chen, Jiawei 1; Dai, Yu-Hong 2,3
	2022-04-15
发表期刊	JOURNAL OF GLOBAL OPTIMIZATION
ISSN	0925-5001
页码	24
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.
关键词	Multiobjective optimization with least constraint violation Optimality conditions Exact penalization Calmness Infeasibility condition
DOI	10.1007/s10898-022-01158-8
收录类别	SCI
语种	英语
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
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000782732700001
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/60350
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.Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.