KMS Of Academy of mathematics and systems sciences, CAS
| Multiobjective optimization with least constraint violation: optimality conditions and exact penalization | |
| Chen, Jiawei1; Dai, Yu-Hong2,3 | |
| 2022-04-15 | |
| Source Publication | JOURNAL OF GLOBAL OPTIMIZATION
 |
| ISSN | 0925-5001 |
| Pages | 24 |
| Abstract | 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. |
| Keyword | Multiobjective optimization with least constraint violation Optimality conditions Exact penalization Calmness Infeasibility condition |
| DOI | 10.1007/s10898-022-01158-8 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Operations Research & Management Science ; Mathematics |
| WOS Subject | Operations Research & Management Science ; Mathematics, Applied |
| WOS ID | WOS:000782732700001 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60350 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Dai, Yu-Hong |
| Affiliation | 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 |
| Recommended Citation 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. |
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