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Robust univariate spline models for interpolating interval data

文献类型：期刊论文

作者Averbakh, Igor1; Zhao, Yun-Bin2,3
刊名OPERATIONS RESEARCH LETTERS
出版日期2011
卷号39期号:1页码:62-66
关键词Uncertainty modeling Interval data Piecewise polynomial interpolation Spline function Semi-infinite convex optimization
ISSN号0167-6377
DOI10.1016/j.orl.2010.11.008
英文摘要We consider spline interpolation problems where information about the approximated function is given by means of interval estimates for the function values over ranges of x-values instead of specific knots. We propose two robust uniyariate spline models formulated as convex semi-infinite optimization problems. We present simplified equivalent formulations of both models as finite explicit convex optimization problems for splines of degrees up to 3. This makes it possible to use existing convex optimization algorithms and software. (C) 2010 Elsevier B.V. All rights reserved.
资助项目Natural Sciences and Engineering Research Council of Canada (NSERC) ; National Natural Science Foundation of China[10671199] ; National Natural Science Foundation of China[70221001]
WOS研究方向Operations Research & Management Science
语种英语
WOS记录号WOS:000287348600014
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11365]  
专题中国科学院数学与系统科学研究院
通讯作者Averbakh, Igor
作者单位1.Univ Toronto Scarborough, Dept Management, Toronto, ON M1C 1A4, Canada
2.Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Averbakh, Igor,Zhao, Yun-Bin. Robust univariate spline models for interpolating interval data[J]. OPERATIONS RESEARCH LETTERS,2011,39(1):62-66.
APA Averbakh, Igor,&Zhao, Yun-Bin.(2011).Robust univariate spline models for interpolating interval data.OPERATIONS RESEARCH LETTERS,39(1),62-66.
MLA Averbakh, Igor,et al."Robust univariate spline models for interpolating interval data".OPERATIONS RESEARCH LETTERS 39.1(2011):62-66.

入库方式： OAI收割

来源：数学与系统科学研究院

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