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Importance of system components and fault tree events

Citations

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Cited by:

  1. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
  2. Li, Haijun & Scarsini, Marco & Shaked, Moshe, 1999. "Dynamic Linkages for Multivariate Distributions with Given Nonoverlapping Multivariate Marginals," Journal of Multivariate Analysis, Elsevier, vol. 68(1), pages 54-77, January.
  3. Zhu, Xiaoyan & Chen, Zhiqiang & Borgonovo, Emanuele, 2021. "Remaining-useful-lifetime and system-remaining-profit based importance measures for decisions on preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  4. Zaitseva, Elena & Levashenko, Vitaly & Kostolny, Jozef, 2015. "Importance analysis based on logical differential calculus and Binary Decision Diagram," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 135-144.
  5. Li, Ruiying & Gao, Ying, 2022. "On the component resilience importance measures for infrastructure systems," International Journal of Critical Infrastructure Protection, Elsevier, vol. 36(C).
  6. Huseby, Arne B. & Natvig, Bent, 2013. "Discrete event simulation methods applied to advanced importance measures of repairable components in multistate network flow systems," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 186-198.
  7. Marichal, Jean-Luc, 2014. "Subsignatures of systems," Journal of Multivariate Analysis, Elsevier, vol. 124(C), pages 226-236.
  8. Blessinger, Todd, 2002. "More on Stochastic Comparisons and Dependence among Concomitants of Order Statistics," Journal of Multivariate Analysis, Elsevier, vol. 82(2), pages 367-378, August.
  9. Unnikrishnan Nair, N. & Asha, G., 1997. "Some Classes of Multivariate Life Distributions in Discrete Time," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 181-189, August.
  10. Navarro, Jorge & Balakrishnan, N., 2010. "Study of some measures of dependence between order statistics and systems," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 52-67, January.
  11. Marichal, Jean-Luc & Mathonet, Pierre, 2013. "On the extensions of Barlow–Proschan importance index and system signature to dependent lifetimes," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 48-56.
  12. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
  13. Fang, Hong-Bin & Fang, Kai-Tai & Kotz, Samuel, 2002. "The Meta-elliptical Distributions with Given Marginals," Journal of Multivariate Analysis, Elsevier, vol. 82(1), pages 1-16, July.
  14. Meng Wang & Yalin Qin & Jiaojiao Liu & Weidong Li, 2023. "Identifying personal physiological data risks to the Internet of Everything: the case of facial data breach risks," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-15, December.
  15. Roy Cerqueti, 2022. "A new concept of reliability system and applications in finance," Annals of Operations Research, Springer, vol. 312(1), pages 45-64, May.
  16. Shahsanaei Fatemeh & Rezaei Sadegh & Pak Abbas, 2012. "A New Two-Parameter Lifetime Distribution with Increasing Failure Rate," Stochastics and Quality Control, De Gruyter, vol. 27(1), pages 1-17, September.
  17. Richard Engelbrecht-Wiggans & David R. Strip, 1979. "On the Relation of Various Reliability Measures to Each Other and to Game Theoretic Values," Cowles Foundation Discussion Papers 530, Cowles Foundation for Research in Economics, Yale University.
  18. Krzysztof J. Szajowski, 2020. "Rationalization of detection of the multiple disorders," Statistical Papers, Springer, vol. 61(4), pages 1545-1563, August.
  19. Si, Shubin & Levitin, Gregory & Dui, Hongyan & Sun, Shudong, 2013. "Component state-based integrated importance measure for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 75-83.
  20. Ortega-Jiménez, P. & Sordo, M.A. & Suárez-Llorens, A., 2021. "Stochastic orders and multivariate measures of risk contagion," Insurance: Mathematics and Economics, Elsevier, vol. 96(C), pages 199-207.
  21. Emanuele Borgonovo & Alessandra Cillo & Curtis L. Smith, 2018. "On the Relationship between Safety and Decision Significance," Risk Analysis, John Wiley & Sons, vol. 38(8), pages 1541-1558, August.
  22. Bent Natvig, 2011. "Measures of Component Importance in Nonrepairable and Repairable Multistate Strongly Coherent Systems," Methodology and Computing in Applied Probability, Springer, vol. 13(3), pages 523-547, September.
  23. Bent Natvig & Jørund Gåsemyr, 2009. "New Results on the Barlow–Proschan and Natvig Measures of Component Importance in Nonrepairable and Repairable Systems," Methodology and Computing in Applied Probability, Springer, vol. 11(4), pages 603-620, December.
  24. Lyu, Dong & Si, Shubin, 2020. "Dynamic importance measure for the K-out-of-n: G system under repeated random load," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
  25. Gao, Xueli & Cui, Lirong & Li, Jinlin, 2007. "Analysis for joint importance of components in a coherent system," European Journal of Operational Research, Elsevier, vol. 182(1), pages 282-299, October.
  26. Emanuele Borgonovo & Alessandra Cillo, 2017. "Deciding with Thresholds: Importance Measures and Value of Information," Risk Analysis, John Wiley & Sons, vol. 37(10), pages 1828-1848, October.
  27. Sadiya & Mangey Ram & Akshay Kumar, 2022. "A New Approach to Compute System Reliability with Three-Serially Linked Modules," Mathematics, MDPI, vol. 11(1), pages 1-18, December.
  28. Zhai, Qingqing & Yang, Jun & Xie, Min & Zhao, Yu, 2014. "Generalized moment-independent importance measures based on Minkowski distance," European Journal of Operational Research, Elsevier, vol. 239(2), pages 449-455.
  29. Yanqing Wang & Liang Zhang & Shaoran Ren & Bo Ren & Bailian Chen & Jun Lu, 2020. "Identification of potential CO2 leakage pathways and mechanisms in oil reservoirs using fault tree analysis," Greenhouse Gases: Science and Technology, Blackwell Publishing, vol. 10(2), pages 331-346, April.
  30. Riccardo Colini-Baldeschi & Marco Scarsini & Stefano Vaccari, 2018. "Variance Allocation and Shapley Value," Methodology and Computing in Applied Probability, Springer, vol. 20(3), pages 919-933, September.
  31. Dui, Hongyan & Si, Shubin & Wu, Shaomin & Yam, Richard C.M., 2017. "An importance measure for multistate systems with external factors," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 49-57.
  32. Rushdi, Ali Muhammad Ali & Hassan, Ahmad Kamal, 2015. "Reliability of migration between habitat patches with heterogeneous ecological corridors," Ecological Modelling, Elsevier, vol. 304(C), pages 1-10.
  33. Minchuk, Yizhaq & Sela, Aner, 2018. "Prebidding first-price auctions with and without head starts," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 51-55.
  34. Borgonovo, Emanuele & Aliee, Hananeh & Glaß, Michael & Teich, Jürgen, 2016. "A new time-independent reliability importance measure," European Journal of Operational Research, Elsevier, vol. 254(2), pages 427-442.
  35. Vaurio, Jussi K., 2010. "Ideas and developments in importance measures and fault-tree techniques for reliability and risk analysis," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 99-107.
  36. da Costa Bueno, Vanderlei & de Menezes, Jose Elmo, 2007. "Pattern's reliability importance under dependence condition and different information levels," European Journal of Operational Research, Elsevier, vol. 177(1), pages 354-364, February.
  37. Yves Dutuit & Antoine Rauzy, 2014. "Importance factors of coherent systems: A review," Journal of Risk and Reliability, , vol. 228(3), pages 313-323, June.
  38. Lisnianski, Anatoly & Frenkel, Ilia & Khvatskin, Lev, 2015. "On Birnbaum importance assessment for aging multi-state system under minimal repair by using the Lz-transform method," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 258-266.
  39. Mario Hellmich & Heinz-Peter Berg, 2013. "On the construction of component importance measures for semi-Markov systems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(1), pages 15-32, February.
  40. Si, Shubin & Levitin, Gregory & Dui, Hongyan & Sun, Shudong, 2014. "Importance analysis for reconfigurable systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 72-80.
  41. Lyu, Dong & Si, Shubin, 2021. "Importance measure for K-out-of-n: G systems under dynamic random load considering strength degradation," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
  42. Aliee, Hananeh & Borgonovo, Emanuele & Glaß, Michael & Teich, Jürgen, 2017. "On the Boolean extension of the Birnbaum importance to non-coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 160(C), pages 191-200.
  43. Hayette Gatfaoui, 2003. "From Fault Tree to Credit Risk Assessment: An Empirical Attempt," Risk and Insurance 0308003, University Library of Munich, Germany.
  44. Contini, Sergio & Matuzas, Vaidas, 2011. "New methods to determine the importance measures of initiating and enabling events in fault tree analysis," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 775-784.
  45. Vito Fragnelli & Lucia Pusillo, 2020. "Multiobjective Games for Detecting Abnormally Expressed Genes," Mathematics, MDPI, vol. 8(3), pages 1-12, March.
  46. Natvig, Bent & Eide, Kristina A. & Gåsemyr, Jørund & Huseby, Arne B. & Isaksen, Stefan L., 2009. "Simulation based analysis and an application to an offshore oil and gas production system of the Natvig measures of component importance in repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 94(10), pages 1629-1638.
  47. Vaurio, Jussi K., 2016. "Importances of components and events in non-coherent systems and risk models," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 117-122.
  48. Masry, Elias, 2003. "Local polynomial fitting under association," Journal of Multivariate Analysis, Elsevier, vol. 86(2), pages 330-359, August.
  49. Marichal, Jean-Luc & Mathonet, Pierre, 2013. "Computing system signatures through reliability functions," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 710-717.
  50. Dutuit, Yves & Rauzy, Antoine, 2015. "On the extension of Importance Measures to complex components," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 161-168.
  51. Xiaoyan Zhu & Mahmoud Boushaba & Abdelmoumene Boulahia & Xian Zhao, 2019. "A linear m-consecutive-k-out-of-n system with sparse d of non-homogeneous Markov-dependent components," Journal of Risk and Reliability, , vol. 233(3), pages 328-337, June.
  52. Winton, Andrew, 1997. "Competition among Financial Intermediaries When Diversification Matters," Journal of Financial Intermediation, Elsevier, vol. 6(4), pages 307-346, October.
  53. Hu, Taizhong & Khaledi, Baha-Eldin & Shaked, Moshe, 2003. "Multivariate hazard rate orders," Journal of Multivariate Analysis, Elsevier, vol. 84(1), pages 173-189, January.
  54. Miroslav Kvassay & Vitaly Levashenko & Elena Zaitseva, 2016. "Analysis of minimal cut and path sets based on direct partial Boolean derivatives," Journal of Risk and Reliability, , vol. 230(2), pages 147-161, April.
  55. Natvig, Bent & Huseby, Arne B. & Reistadbakk, Mads O., 2011. "Measures of component importance in repairable multistate systems—a numerical study," Reliability Engineering and System Safety, Elsevier, vol. 96(12), pages 1680-1690.
  56. Dong Lyu & Shubin Si & Zhiqiang Cai & Liyang Xie, 2020. "Computational method for importance measure of the k-out-of-n system based on stress–strength interference," Journal of Risk and Reliability, , vol. 234(1), pages 27-40, February.
  57. Marichal, Jean-Luc, 2014. "Computing subsignatures of systems with exchangeable component lifetimes," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 128-134.
  58. Wu, Shaomin & Coolen, Frank P.A., 2013. "A cost-based importance measure for system components: An extension of the Birnbaum importance," European Journal of Operational Research, Elsevier, vol. 225(1), pages 189-195.
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