A method of estimating computational complexity based on input conditions for N-vehicle problem
文献类型：期刊论文
| 作者 | Xia, Xi; Cui, Jin-chuan
|
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2010 |
| 卷号 | 26期号:1页码:1-12 |
| 关键词 | Complexity of computation combinatorial optimization N-vehicle problem permutations inverse order |
| ISSN号 | 0168-9673 |
| DOI | 10.1007/s10255-008-8811-5 |
| 英文摘要 | This paper proposes a method of estimating computational complexity of problem through analyzing its input condition for N-vehicle exploration problem. The N-vehicle problem is firstly formulated to determine the optimal replacement in the set of permutations of 1 to N. The complexity of the problem is factorial of N (input scale of problem). To balance accuracy and efficiency of general algorithms, this paper mentions a new systematic algorithm design and discusses correspondence between complexity of problem and its input condition, other than just putting forward a uniform approximation algorithm as usual. This is a new technique for analyzing computation of NP problems. The method of corresponding is then presented. We finally carry out a simulation to verify the advantages of the method: 1) to decrease computation in enumeration; 2) to efficiently obtain computational complexity for any N-vehicle case; 3) to guide an algorithm design for any N-vehicle case according to its complexity estimated by the method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000272628300001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10467]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xia, Xi |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xia, Xi,Cui, Jin-chuan. A method of estimating computational complexity based on input conditions for N-vehicle problem[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2010,26(1):1-12. |
| APA | Xia, Xi,&Cui, Jin-chuan.(2010).A method of estimating computational complexity based on input conditions for N-vehicle problem.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,26(1),1-12. |
| MLA | Xia, Xi,et al."A method of estimating computational complexity based on input conditions for N-vehicle problem".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 26.1(2010):1-12. |
入库方式： OAI收割
来源：数学与系统科学研究院
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