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| A Computational Method for Sensitivity Analysis under Uncertainty |
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A Computational Method for Sensitivity Analysis under Uncertainty ×÷Õß:Wang, HC (Wang, Hongchun)[ 1 ] ±àÕß:Yingying, S; Guiran, C; Zhen, L PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON LOGISTICS, ENGINEERING, MANAGEMENT AND COMPUTER SCIENCE (LEMCS 2015) ´ÔÊé: Advances in Intelligent Systems Research ¾í: 117 Ò³: 326-330 ³ö°æÄê: 2015 »áÒéÃû³Æ »áÒé: International Conference on Logistics Engineering, Management and Computer Science (LEMCS) »áÒ鵨µã: Shenyang, PEOPLES R CHINA »áÒéÈÕÆÚ: JUL 29-31, 2015 ÕªÒª Sensitivity analysis (SA) is an important part in engineering design under the uncertainty to provide valuable information about the probabilistic characteristics of a response. In this paper, the variance-based methods and the cumulative distribution function (CDF)-based sensitivity coefficients were used in sensitivity analysis. The combination of sparse grid stochastic collocation (SC) and the generalized polynomial chaos (gPC) are proposed as a method to perform the sensitivity analysis. The computational method employs the gPC as a high-order representation for random quantities, a stochastic collocation (SC) approach to deal with complex/implicit response functions, and sparse grid to use a reduced set of samples. It can reduce the computational cost associated with uncertainty assessment without much sacrifice on the optimum solution. The effectiveness is demonstrated in two numerical examples. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Generalized Polynomial Chaos; Sensitivity Analysis; Stochastic Collocation; Sensitivity Coefficient; Uncertainty KeyWords Plus IFFERENTIAL-EQUATIONS×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Wang, HC (ͨѶ×÷Õß) Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China. µØÖ·: [ 1 ] Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China µç×ÓÓʼþµØÖ·:springwhch@126.com ³ö°æÉÌ ATLANTIS PRESS, 29 AVENUE LAVMIERE, PARIS, 75019, FRANCE Àà±ð / ·ÖÀà Ñо¿·½Ïò:Computer Science; Business & Economics; Operations Research & Management Science Web of Science Àà±ð:Computer Science, Artificial Intelligence; Management; Operations Research & Management Science ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ roceedings PaperÓïÖÖ:English Èë²ØºÅ: WOS:000373107000063 ISBN:978-94-6252-102-5 ISSN: 1951-6851 ÆäËûÐÅÏ¢ IDS ºÅ: BE5OK Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 11 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |
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IFFERENTIAL-EQUATIONS
roceedings Paper