Read e-book online Applied reliability engineering and risk analysis : PDF

By Ilia B. Frenkel, Alex Karagrigoriou, Anatoly Lisnianski, Andre V. Kleyner

ISBN-10: 1118539427

ISBN-13: 9781118539422

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"This e-book offers the newest advancements within the box of reliability technological know-how concentrating on utilized reliability, probabilistic types and threat research. It presents readers with the main updated advancements during this box and consolidates learn actions in different parts of utilized reliability engineering. The ebook is timed to commemorate Boris Gnedenko's centennial by means of bringing jointly leading Read more...

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Liu, Y. C. Kapur. 2008. New model and measurement for reliability of multi-state systems. In Handbook of Performability Engineering, ed. B. Misra. London: Springer, pp. 431–445. , A. Horv´ath, and G. Horv´ath. 2004. Analysis of inhomogeneous Markov reward models. Linear Algebra and Its Applications 386: 383–405. P. F. G. B. Toloczko. 2011. Multi-state physics models of aging passive components in probabilistic risk assessment. In Proceedings of International Topical Meeting on Probabilistic Safety Assessment and Analysis (PSA 2011), 1.

Several research studies have been carried out to analyze dependent failure modes. Examples can be found in (Bagdonaviˇcius et al. 2004; Peng et al. 2010; Tan and Raghavan 2010; Chen et al. 2011; Liang et al. 2011; Wang 2011; Chen and Chen 2010; Wang and Pham 2012). This chapter focuses only on independent failure modes, in which the damage progression of a failure mode has no effect on the damage progression of other failure modes. Independent failure modes have been studied in many published research papers.

It is also noted that the Runge–Kutta method is explicit if the Butcher tableau is lower triangular, while if the Butcher tableau is not necessarily lower triangular, then the Runge–Kutta method is implicit, which is more general than the explicit case (Butcher 2003). The coefficients in Butcher tableau are chosen to match as many as possible of the terms in the Taylor series: p(t + t 2 (2) · p (t) 2! t s (s) t 3 (3) · p (t) + . . + · p (t) + O( t s+1 ) + 3! s! 7) in order to minimize the approximation error.

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Applied reliability engineering and risk analysis : probabilistic models and statistical inference by Ilia B. Frenkel, Alex Karagrigoriou, Anatoly Lisnianski, Andre V. Kleyner


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