Inverse problems of submodular functions on digraphs
文献类型：期刊论文
| 作者 | Cai, M; Yang, X; Li, Y |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2000-03-01 |
| 卷号 | 104期号:3页码:559-575 |
| 关键词 | inverse problems submodular functions digraphs minimum cost circulation strongly polynomial algorithms |
| ISSN号 | 0022-3239 |
| 英文摘要 | In this paper, we study the inverse problem of submodular functions on digraphs. Given a feasible solution x* for a linear program generated by a submodular function defined on digraphs, we try to modify the coefficient vector c of the objective function, optimally and within bounds, such that x* becomes an optimal solution of the linear program. It is shown that the problem can be formulated as a combinatorial linear program and can be transformed further into a minimum cost circulation problem. Hence, it can be solved in strongly polynomial time. We also give a necessary and sufficient condition for the feasibility of the problem. Finally, we extend the discussion to the version of the inverse problem with multiple feasible solutions. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087273700004 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15364]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cai, M |
| 作者单位 | 1.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Lab Management Decis & Informat Syst, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cai, M,Yang, X,Li, Y. Inverse problems of submodular functions on digraphs[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2000,104(3):559-575. |
| APA | Cai, M,Yang, X,&Li, Y.(2000).Inverse problems of submodular functions on digraphs.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,104(3),559-575. |
| MLA | Cai, M,et al."Inverse problems of submodular functions on digraphs".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 104.3(2000):559-575. |
入库方式： OAI收割
来源：数学与系统科学研究院
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