PMID- 33265293
OWN - NLM
STAT- PubMed-not-MEDLINE
LR  - 20201207
IS  - 1099-4300 (Electronic)
IS  - 1099-4300 (Linking)
VI  - 20
IP  - 3
DP  - 2018 Mar 16
TI  - Global Reliability Sensitivity Analysis Based on Maximum Entropy and 2-Layer 
      Polynomial Chaos Expansion.
LID - 10.3390/e20030202 [doi]
LID - 202
AB  - To optimize contributions of uncertain input variables on the statistical 
      parameter of given model, e.g., reliability, global reliability sensitivity 
      analysis (GRSA) provides an appropriate tool to quantify the effects. However, it 
      may be difficult to calculate global reliability sensitivity indices compared 
      with the traditional global sensitivity indices of model output, because 
      statistical parameters are more difficult to obtain, Monte Carlo simulation 
      (MCS)-related methods seem to be the only ways for GRSA but they are usually 
      computationally demanding. This paper presents a new non-MCS calculation to 
      evaluate global reliability sensitivity indices. This method proposes: (i) a 
      2-layer polynomial chaos expansion (PCE) framework to solve the global 
      reliability sensitivity indices; and (ii) an efficient method to build a 
      surrogate model of the statistical parameter using the maximum entropy (ME) 
      method with the moments provided by PCE. This method has a dramatically reduced 
      computational cost compared with traditional approaches. Two examples are 
      introduced to demonstrate the efficiency and accuracy of the proposed method. It 
      also suggests that the important ranking of model output and associated failure 
      probability may be different, which could help improve the understanding of the 
      given model in further optimization design.
FAU - Zhao, Jianyu
AU  - Zhao J
AD  - School of Reliability and Systems Engineering, Beihang University, Beijing 
      100191, China.
FAU - Zeng, Shengkui
AU  - Zeng S
AUID- ORCID: 0000-0002-2857-4626
AD  - School of Reliability and Systems Engineering, Beihang University, Beijing 
      100191, China.
AD  - Science and Technology on Reliability and Environmental Engineering Laboratory, 
      Beihang University, Beijing 100191, China.
FAU - Guo, Jianbin
AU  - Guo J
AD  - School of Reliability and Systems Engineering, Beihang University, Beijing 
      100191, China.
AD  - Science and Technology on Reliability and Environmental Engineering Laboratory, 
      Beihang University, Beijing 100191, China.
FAU - Du, Shaohua
AU  - Du S
AD  - CRRC ZIC Research Institute of Electrical Technology & Material Engineering, 
      Zhuzhou 412001, China.
LA  - eng
PT  - Journal Article
DEP - 20180316
PL  - Switzerland
TA  - Entropy (Basel)
JT  - Entropy (Basel, Switzerland)
JID - 101243874
PMC - PMC7512717
OTO - NOTNLM
OT  - Sobol's indices
OT  - global reliability sensitivity analysis
OT  - polynomial chaos expansion
OT  - the maximum entropy method
COIS- The authors declare no conflict of interest.
EDAT- 2018/03/16 00:00
MHDA- 2018/03/16 00:01
PMCR- 2018/03/16
CRDT- 2020/12/03 01:03
PHST- 2018/02/05 00:00 [received]
PHST- 2018/03/13 00:00 [revised]
PHST- 2018/03/14 00:00 [accepted]
PHST- 2020/12/03 01:03 [entrez]
PHST- 2018/03/16 00:00 [pubmed]
PHST- 2018/03/16 00:01 [medline]
PHST- 2018/03/16 00:00 [pmc-release]
AID - e20030202 [pii]
AID - entropy-20-00202 [pii]
AID - 10.3390/e20030202 [doi]
PST - epublish
SO  - Entropy (Basel). 2018 Mar 16;20(3):202. doi: 10.3390/e20030202.