On the complexity of sequentially lifting cover inequalities for the knapsack polytope
文献类型：期刊论文
| 作者 | Chen, Wei-Kun1,2,3; Dai, Yu-Hong2,3 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2020-04-15 |
| 页码 | 10 |
| 关键词 | integer programming sequentially lifted cover inequality complexity lifting problem |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-019-9538-1 |
| 英文摘要 | The well-known sequentially lifted cover inequality is widely employed in solving mixed integer programs. However, it is still an open question whether a sequentially lifted cover inequality can be computed in polynomial time for a given minimal cover (Gu et al. (1999)). We show that this problem is NP-hard, thus giving a negative answer to the question. |
| 资助项目 | National Natural Science Foundation of China[11631013] ; National Natural Science Foundation of China[11331012] ; National Basic Research Program of China[2015CB856002] ; Major Project to Promote Development of Big Data from National Development and Reform Commission[2016-999999-65-01-000696-01] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000526333200002 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51190]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dai, Yu-Hong |
| 作者单位 | 1.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Wei-Kun,Dai, Yu-Hong. On the complexity of sequentially lifting cover inequalities for the knapsack polytope[J]. SCIENCE CHINA-MATHEMATICS,2020:10. |
| APA | Chen, Wei-Kun,&Dai, Yu-Hong.(2020).On the complexity of sequentially lifting cover inequalities for the knapsack polytope.SCIENCE CHINA-MATHEMATICS,10. |
| MLA | Chen, Wei-Kun,et al."On the complexity of sequentially lifting cover inequalities for the knapsack polytope".SCIENCE CHINA-MATHEMATICS (2020):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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