Solution structure of some inverse combinatorial optimization problems
文献类型：期刊论文
| 作者 | Zhang, JZ; Ma, ZF |
| 刊名 | JOURNAL OF COMBINATORIAL OPTIMIZATION
 |
| 出版日期 | 1999-07-01 |
| 卷号 | 3期号:1页码:127-139 |
| 关键词 | inverse problem shortest path minimum spanning tree maximum-weight matching blocking and anti-blocking polyhedra |
| ISSN号 | 1382-6905 |
| 英文摘要 | In this paper we consider some inverse combinatorial optimization problems, that is, for a given set of feasible solutions of an optimization problem, we wish to know: under what weight vectors (or capacity vectors) will these feasible solutions become optimal solutions? We analysed shortest path problem, minimum cut problem, minimum spanning tree problem and maximum-weight matching problem, and found that in each of these cases, the solution set of the inverse problem is characterized by solving another combinatorial optimization problem. The main tool in our approach is Fulkerson's theory of blocking and anti-blocking polyhedra with some necessary revisions.In this paper we consider some inverse combinatorial optimization problems, that is, for a given set of feasible solutions of an optimization problem, we wish to know: under what weight vectors (or capacity vectors) will these feasible solutions become optimal solutions? We analysed shortest path problem, minimum cut problem, minimum spanning tree problem and maximum-weight matching problem, and found that in each of these cases, the solution set of the inverse problem is charaterized by solving another combinatorial optimization problem. The main tool in our approach is Fulkerson's theory of blocking and anti-blocking polyhedra with some necessary revisions. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000081774600010 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14327]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, JZ |
| 作者单位 | 1.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, JZ,Ma, ZF. Solution structure of some inverse combinatorial optimization problems[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,1999,3(1):127-139. |
| APA | Zhang, JZ,&Ma, ZF.(1999).Solution structure of some inverse combinatorial optimization problems.JOURNAL OF COMBINATORIAL OPTIMIZATION,3(1),127-139. |
| MLA | Zhang, JZ,et al."Solution structure of some inverse combinatorial optimization problems".JOURNAL OF COMBINATORIAL OPTIMIZATION 3.1(1999):127-139. |
入库方式： OAI收割
来源：数学与系统科学研究院
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