Multi-State System Reliability - Assessment, Optimization and Applications

By A. Lisnianski, G. Levitin. Series on Quality, Reliability and Engineering Statistics, 2003

949 citations recorded by the source corpus.

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Applications of Bayesian networks and Petri nets in safety, reliability, and risk assessments: A review (2019, background): “Number of states the system can be in (Bouissou and Pourret, 2003; Li and Zuo, 2008; Lisnianski and Levitin, 2003; Yingkui and Jing, 2012) 5.”
Reliability Measures of Semi-Markov Systems with General State Space (2012, background): “The results presented here are new and generalize results in the finite state space case, (see Limnios and Oprişan 2001, Barbu and Limnios 2008, Lisnianski and Levitin 2003).”
An efficient method for reliability evaluation of multistate networks given all minimal path vectors (2007, background): “These systems are regarded as multistate networks (Lin et al ., 1995; Kuo and Zuo, 2003; Lisnianski and Levitin, 2003).”
Network resilience (2020, background): “As the dynamical system complexity demonstrated, systems in practice could have multiple states, which could be studied by the theory of multi-state system [733, 734, 735, 736].”
Reliability engineering: Old problems and new challenges (2009, background): “…can settle on different levels (e.g. 100%, 80%, 50% of the nominal capacity), depending on the operative conditions of their constitutive multi-state elements (Figure 1) (Wood, 1985; Garribba et al., 1985; Gandini, 1990; Aven, 1993; Griffith, 1980; Lisnianski and Levitin, 2003; Parikh et al. 2001).”