Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions
文献类型：期刊论文
| 作者 | Ruan, GZ; Wang, SY; Yamamoto, Y; Zhu, SS |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2004-11-01 |
| 卷号 | 123期号:2页码:409-429 |
| 关键词 | bilevel programming multilevel programming upper semicontinuity connectedness |
| ISSN号 | 0022-3239 |
| 英文摘要 | In this paper, a model of a linear multilevel programming problem with dominated objective functions (LMPPD( l)) is proposed, where multiple reactions of the lower levels do not lead to any uncertainty in the upper-level decision making. Under the assumption that the constrained set is nonempty and bounded, a necessary optimality condition is obtained. Two types of geometric properties of the solution sets are studied. It is demonstrated that the feasible set of LMPPD( l) is neither necessarily composed of faces of the constrained set nor necessarily connected. These properties are different from the existing theoretical results for linear multilevel programming problems. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000224912500010 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19531]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ruan, GZ |
| 作者单位 | 1.Xiangtan Univ, Dept Math, Xiangtan, Hunan, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Hunan Univ, Sch Business Adm, Changsha, Hunan, Peoples R China 4.Univ Tsukuba, Inst Policy & Planning Sci, Tsukuba, Ibaraki 305, Japan 5.Fudan Univ, Sch Management, Dept Management Sci, Shanghai 200433, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ruan, GZ,Wang, SY,Yamamoto, Y,et al. Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2004,123(2):409-429. |
| APA | Ruan, GZ,Wang, SY,Yamamoto, Y,&Zhu, SS.(2004).Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,123(2),409-429. |
| MLA | Ruan, GZ,et al."Optimality conditions and geometric properties of a linear multilevel programming problem with dominated objective functions".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 123.2(2004):409-429. |
入库方式： OAI收割
来源：数学与系统科学研究院
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