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Brown, Jason I. (author), Kolokolnikov, Theodore (author), Kooij, Robert (author)We introduce two new methods for approximating the all-terminal reliability of undirected graphs. First, we introduce an edge removal process: remove edges at random, one at a time, until the graph becomes disconnected. We show that the expected number of edges thus removed is equal to (Formula presented.), where (Formula presented.) is the...journal article 2024
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Uijterwaal, Paulien (author)The failure of composite laminates is most commonly evaluated through deterministic approaches. However, even though these traditional methods predict the failure well on average, they cannot take into account the inherent probabilistic aspect of failure mechanics. Thus, reliability methods allow for a better structural assessment and improve...master thesis 2021
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Vásconez, P.A. (author)Reliability-based design is an approach currently gaining more popularity for geotechnical engineering. Neverthless, its implementation poses several challenges, one being the additional time (usually significant) in order to perform it. An important portion of this additional time comes from the need to perform many scenarios to compute the...master thesis 2013
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Rajabalinejad, M. (author)This paper presents a generic method for the safety assessments of models with partial monotonicity. For this purpose, a Bayesian interpolation method is developed and implemented in the Monte Carlo process. integrated approach is the generalization of the recently developed techniques used in safety assessment of monotonic models and it...conference paper 2012
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Den Heijer, C. (author)OpenEarthTools contains, apart from a lot of other tools in various programming languages, the probabilistic reliability methods FORM and Monte Carlo. This document aims at describing and providing background information and examples on the FORM and Monte Carlo implementation available in OpenEarthTools.report 2012