Multiobjective optimization with least constraint violation: optimality conditions and exact penalization
文献类型：期刊论文
| 作者 | Chen, Jiawei3; Dai, Yu-Hong1,2 |
| 刊名 | JOURNAL OF GLOBAL OPTIMIZATION
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000782732700001 |
| 出版者 | SPRINGER |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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