Exact penalty functions for convex bilevel programming problems
文献类型：期刊论文
| 作者 | Liu, GS; Han, JY; Zhang, JZ |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2001-09-01 |
| 卷号 | 110期号:3页码:621-643 |
| 关键词 | bilevel programming problems constraint qualifications exact penalty functions reformulations partial calmness |
| ISSN号 | 0022-3239 |
| 英文摘要 | In this paper, we propose a new constraint qualification for convex bilevel programming problems. Under this constraint qualification, a locally and globally exact penalty function of order I for a single-level reformulation of convex bilevel programming problems is given without requiring the linear independence condition and the strict complementarity condition to hold in the lower-level problem. Based on these results, locally and globally exact penalty functions for two other single-level reformulations of convex bilevel programming problems can be obtained. Furthermore, sufficient conditions for partial calmness to hold in some single-level reformulations of convex bilevel programming problems can be given. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171212900008 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16084]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, GS |
| 作者单位 | 1.Renmin Univ China, Sch Business Adm, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 3.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, GS,Han, JY,Zhang, JZ. Exact penalty functions for convex bilevel programming problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2001,110(3):621-643. |
| APA | Liu, GS,Han, JY,&Zhang, JZ.(2001).Exact penalty functions for convex bilevel programming problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,110(3),621-643. |
| MLA | Liu, GS,et al."Exact penalty functions for convex bilevel programming problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 110.3(2001):621-643. |
入库方式： OAI收割
来源：数学与系统科学研究院
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