A further study on inverse linear programming problems
文献类型：期刊论文
| 作者 | Zhang, JZ; Liu, ZH |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 1999-06-30 |
| 卷号 | 106期号:2页码:345-359 |
| ISSN号 | 0377-0427 |
| 关键词 | inverse problem linear programming complementary slackness shortest path minimum spanning toe |
| 英文摘要 | In this paper we continue our previous study (Zhang and Liu, J. Comput. Appl. Math. 72 (1996) 261-273) on inverse linear programming problems which requires us to adjust the cost coefficients of a given LP problem as less as possible so that a known feasible solution becomes the optimal one. In particular, we consider the cases in which the given feasible solution and one optimal solution of the LP problem are 0-1 vectors which often occur in network programming and combinatorial optimization and give very simple methods for solving this type of inverse LP problems. Besides, instead of the commonly used I-j measure, we also consider the inverse LP problems under l infinity measure and propose solution methods. (C) 1999 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ELSEVIER SCIENCE BV |
| WOS记录号 | WOS:000081088700009 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14129]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.City Univ Hong Kong, Dept Math, Hong Kong, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100039, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, JZ,Liu, ZH. A further study on inverse linear programming problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1999,106(2):345-359. |
| APA | Zhang, JZ,&Liu, ZH.(1999).A further study on inverse linear programming problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,106(2),345-359. |
| MLA | Zhang, JZ,et al."A further study on inverse linear programming problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 106.2(1999):345-359. |
入库方式： OAI收割
来源：数学与系统科学研究院
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