By Ilia B. Frenkel, Alex Karagrigoriou, Anatoly Lisnianski, Andre V. Kleyner
"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 researchers, scientists, and practitioners within the box of Prof. Gnednko's services. The advent, written by means of Prof. Igor Ushakov, a private pal and a colleague of Boris Gnedenko, explains the numerous impression and contribution Gnedenko's paintings made at the reliability conception and the fashionable reliability perform. The e-book covers traditional and modern (recently emerged) subject matters in reliability technology, that have obvious prolonged examine actions within the contemporary years. those subject matters contain: degradation research and multi-state process reliability; networks and big scale structures; upkeep versions; statistical inference in reliability, and; physics of disasters and reliability demonstration. All of those themes current a very good curiosity to researchers and practitioners, having been largely researched some time past years and coated at plenty of overseas meetings and in a large number of magazine articles. This publication pulls jointly this knowledge with a coherent circulate of chapters, and is written by means of the lead scientists, researchers and practitioners of their respective fields. Logically divided into 5 sections, every one includes numerous chapters protecting theoretical and functional concerns, whereas case reviews aid the subjects below discussion"-- Read more...
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Additional info for Applied reliability engineering and risk analysis : probabilistic models and statistical inference
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.
Applied reliability engineering and risk analysis : probabilistic models and statistical inference by Ilia B. Frenkel, Alex Karagrigoriou, Anatoly Lisnianski, Andre V. Kleyner