Simulation methods for system reliability using the survival signature

E Patelli, G Feng, FPA Coolen… - Reliability Engineering & …, 2017 - Elsevier
Recently, the survival signature has been presented as a summary of the structure function
which is sufficient for computation of common reliability metrics and has the crucial …

Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory

DA Alvarez, F Uribe, JE Hurtado - Mechanical Systems and Signal …, 2018 - Elsevier
Random set theory is a general framework which comprises uncertainty in the form of
probability boxes, possibility distributions, cumulative distribution functions, Dempster …

[PDF][PDF] COSSAN: a multidisciplinary software suite for uncertainty quantification and risk management

E Patelli, R Ghanem, D Higdon… - Handbook of uncertainty …, 2016 - researchgate.net
Computer-aided modelling and simulation is now widely recognised as the third 'leg 'of
scientific method, alongside theory and experimentation. Many phenomena can be studied …

Uncertainty management in multidisciplinary design of critical safety systems

E Patelli, DA Alvarez, M Broggi, M Angelis - Journal of Aerospace …, 2015 - arc.aiaa.org
Managing the uncertainty in multidisciplinary design of safety-critical systems requires not
only the availability of a single approach or methodology to deal with uncertainty but a set of …

Tighter bounds on the probability of failure than those provided by random set theory

DA Alvarez, JE Hurtado, J Ramírez - Computers & Structures, 2017 - Elsevier
Random set theory is a generalization of Dempster-Shafer evidence theory, that employs an
infinite number of focal elements. It can be used for the estimation of the bounds of the …

Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method

X Yang, Y Liu, Y Gao - International Journal for Numerical …, 2016 - Wiley Online Library
Reliability analysis with both aleatory and epistemic uncertainties is investigated in this
paper. The aleatory uncertainties are described with random variables, and epistemic …

[PDF][PDF] Opencossan 2.0: an efficient computational toolbox for risk, reliability and resilience analysis

E Patelli, S Tolo, H George-Williams… - Joint ICVRAM ISUMA …, 2018 - research.tue.nl
OpenCossan 2.0: an efficient computational toolbox for risk, reliability and resilience
analysis Page 1 OpenCossan 2.0: an efficient computational toolbox for risk, reliability and …

A Monte Carlo-based method for the estimation of lower and upper probabilities of events using infinite random sets of indexable type

DA Alvarez - Fuzzy Sets and Systems, 2009 - Elsevier
Random set theory is a useful tool to quantify lower and upper bounds on the probability of
the occurrence of events given uncertain information represented for example by possibility …

Interval reliability analysis under the specification of statistical information on the input variables

JE Hurtado, DA Alvarez, JA Paredes - Structural Safety, 2017 - Elsevier
Structural reliability analysis should often face the problem that there is uncertainty about the
probabilistic specification of the input random variables implied in a specific problem. In the …

[PDF][PDF] Simulation Methods for the Analysis of Complex Systems

H George-Williams, TV Santhosh… - … Introduction to Methods …, 2022 - library.oapen.org
Everyday systems like communication, transportation, energy and industrial systems are an
indispensable part of our daily lives. Several methods have been developed for their …