A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS

doi:10.3934/jimo.2020073

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	A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS
	Dai, Yu-Hong 1,2; Wang, Zhouhong 3; Xu, Fengmin 4
	2021-09-01
发表期刊	JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
ISSN	1547-5816
卷号	17 期号:5 页码:2367-2387
摘要	In this paper we propose a robust and efficient primal-dual interior point method for a nonlinear ill-conditioned problem with associated errors which are arising in the unfolding procedure for neutron energy spectrum from multiple activation foils. Based on the maximum entropy principle and Boltzmann's entropy formula, the discrete form of the unfolding problem is equivalent to computing the analytic center of the polyhedral set P = {x is an element of Rn \| Ax = b, x >= 0}, where the matrix A is an element of Rmxn is ill-conditioned, and both A and b are inaccurate. By some derivations, we find a new regularization method to reformulate the problem into a well-conditioned problem which can also reduce the impact of errors in A and b. Then based on the primal-dual interior-point methods for linear programming, we propose a hybrid algorithm for this ill conditioned problem with errors. Numerical results on a set of ill-conditioned problems for academic purposes and two practical data sets for unfolding the neutron energy spectrum are presented to demonstrate the effectiveness and robustness of the proposed method. Superscript/Subscript Available
关键词	Boltzmann's entropy ill-condition interior point algorithm analytic center neutron spectrum unfolding numerical stability
DOI	10.3934/jimo.2020073
收录类别	SCI
语种	英语
资助项目	Chinese NSF[11631013] ; Chinese NSF[11991021] ; Chinese NSF[11971372] ; Chinese NSF[11991020] ; CSC scholarship ; Beijing Academy of Artificial Intelligence (BAAI)
WOS研究方向	Engineering ; Operations Research & Management Science ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Operations Research & Management Science ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000740705700006
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59827
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Zhouhong
作者单位	1.Chinese Acad Sci, LESC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China 4.Xi An Jiao Tong Univ, Sch Econ & Finance, Xian 710061, Peoples R China
推荐引用方式 GB/T 7714	Dai, Yu-Hong,Wang, Zhouhong,Xu, Fengmin. A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION,2021,17(5):2367-2387.
APA	Dai, Yu-Hong,Wang, Zhouhong,&Xu, Fengmin.(2021).A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS.JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION,17(5),2367-2387.
MLA	Dai, Yu-Hong,et al."A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS".JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 17.5(2021):2367-2387.