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The stimulus-driven theory of probabilistic dynamics. (English) Zbl 1316.90013
Kadry, Seifedine (ed.) et al., Numerical methods for reliability and safety assessment. Multiscale and multiphysics systems. Cham: Springer (ISBN 978-3-319-07166-4/hbk; 978-3-319-07167-1/ebook). 147-177 (2015).
Summary: Probabilistic Safety Assessments (PSA) are widely used to evaluate the safety of installations or systems. Nevertheless, classical PSA methods – as fault trees or event trees – have difficulties dealing with time dependencies, competition between events and uncertainties. The Stimulus-Driven Theory of Probabilistic Dynamics (or SDTPD) copes with these dynamics aspects. It is a general theory based on dynamic reliability, supplemented by the notion of stimulus. Hence, each event is divided into two phases: the stimulus activation (as soon as all the conditions for the event occurrence are met) and a delay (before the actual occurrence of the event), with a possible stimulus deactivation if the conditions are no more met. It allows modeling in an accurate way the competitions between events. This chapter presents the theory of the SDTPD as well as the solving of a simple example, using the MoSt computer code.
For the entire collection see [Zbl 1300.65003].
90B25 Reliability, availability, maintenance, inspection in operations research
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