A method of estimating computational complexity based on input conditions for N-vehicle problem

doi:10.1007/s10255-008-8811-5

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	A method of estimating computational complexity based on input conditions for N-vehicle problem
	Xia, Xi; Cui, Jin-chuan
	2010
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	26 期号:1 页码:1-12
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.
关键词	Complexity of computation combinatorial optimization N-vehicle problem permutations inverse order
DOI	10.1007/s10255-008-8811-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000272628300001
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10468
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.