The reliability of an element with alternating failure rate
I. Kopocińska (1984)
Applicationes Mathematicae
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I. Kopocińska (1984)
Applicationes Mathematicae
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B. Kopociński (1974)
Applicationes Mathematicae
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Abdelaziz Zaidi, Belkacem Ould Bouamama, Moncef Tagina (2012)
International Journal of Applied Mathematics and Computer Science
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In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not possible. To overcome this problem, Bayesian approaches offer a considerable efficiency in this context. This paper introduces recent contributions in the field of reliability modeling with the Bayesian network approach. Bayesian reliability models are applied to systems with Weibull distribution of failure. To achieve the formulation...
Kapur, P.K., Anand, Sameer, Yamada, Shigeru, Yadavalli, Venkata S.S. (2009)
Mathematical Problems in Engineering
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Leszek Knopik (2005)
Control and Cybernetics
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Hongbin Li, Qing Zhao, Zhenyu Yang (2007)
International Journal of Applied Mathematics and Computer Science
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This paper proposes a novel approach to reliability evaluation for active Fault Tolerant Control Systems (FTCSs). By introducing a reliability index based on the control performance and hard deadline, a semi-Markov process model is proposed to describe system operation for reliability evaluation. The degraded performance of FTCSs in the presence of imperfect Fault Detection and Isolation (FDI) is reflected by semi-Markov states. The semi-Markov kernel, the key parameter of the process,...
J. Sosnowski, P. Gawkowski, A. Lesiak (2004)
Control and Cybernetics
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Bin Hu, Peter Seiler (2015)
International Journal of Applied Mathematics and Computer Science
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Analytical fault detection algorithms have the potential to reduce the size, power and weight of safety-critical aerospace systems. Analytical redundancy has been successfully applied in many non-safety critical applications. However, acceptance for aerospace applications will require new methods to rigorously certify the impact of such algorithms on the overall system reliability. This paper presents a theoretical method to assess the probabilistic performance for an analytically redundant...
Abdelaziz Nasroallah (1997)
Extracta Mathematicae
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Piotr Kulczycki (2002)
Kybernetika
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This article presents a new concept for a statistical fault detection system, including the detection, diagnosis, and prediction of faults. Theoretical material has been collected to provide a complete algorithm making possible the design of a usable system for statistical inference on the basis of the current value of a symptom vector. The use of elements of artificial intelligence enables self-correction and adaptation to changing conditions. The mathematical apparatus is founded on...