A polynomial solvable minimum risk spanning tree problem with interval data

doi:10.1016/j.ejor.2008.06.039

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	A polynomial solvable minimum risk spanning tree problem with interval data
	Chen, Xujin; Hu, Jie; Hu, Xiaodong
	2009-10-01
发表期刊	EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
ISSN	0377-2217
卷号	198 期号:1 页码:43-46
摘要	We propose and study a new model for the spanning tree problem with interval data, the Minimum Risk Spanning Tree (MRST) problem. that finds diverse applications in network design. Given an underlying network G = (V, E), each link e is an element of E can be established by paying a Cost c(e) is an element of [(c) under bar (e), (c) over bar (e)], and accordingly takes a risk (c) over bar (e)-c(e)/(c) over bar (e)-(c) under bar (e). of link failure, The MRST problem is to establish a spanning tree T in G of total cost not more than a given constant so that the risk sum over the links in T is minimized. We prove that the MRST problem can be solved in polynomial time, and thus has algorithmic aspect more satisfactory than the NP-hard robust spanning tree problem with interval data. (C) 2008 Elsevier B.V. All rights reserved.
关键词	Combinatorial optimization Spanning tree Interval data
DOI	10.1016/j.ejor.2008.06.039
语种	英语
资助项目	National Natural Science Foundation of China[70221001] ; National Natural Science Foundation of China[10531070] ; National Natural Science Foundation of China[10771209] ; National Natural Science Foundation of China[10721101]
WOS研究方向	Business & Economics ; Operations Research & Management Science
WOS类目	Management ; Operations Research & Management Science
WOS记录号	WOS:000265341200005
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8062
专题	应用数学研究所
通讯作者	Hu, Xiaodong
作者单位	Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Xujin,Hu, Jie,Hu, Xiaodong. A polynomial solvable minimum risk spanning tree problem with interval data[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,2009,198(1):43-46.
APA	Chen, Xujin,Hu, Jie,&Hu, Xiaodong.(2009).A polynomial solvable minimum risk spanning tree problem with interval data.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,198(1),43-46.
MLA	Chen, Xujin,et al."A polynomial solvable minimum risk spanning tree problem with interval data".EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 198.1(2009):43-46.