Box particle filtering for nonlinear state estimation using interval analysis, Automatica, vol.44, issue.3, pp.807-815, 2008. ,
Inclusion-exclusion principle for belief functions, International Journal of Approximate Reasoning, vol.55, issue.8, pp.1708-1727, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00861993
Human fatigue's effect on the risk of maritime groundings -A Bayesian Network modeling approach, Safety Science, vol.62, pp.427-440, 2014. ,
, Maîtrise des risques et sûreté de fonctionnement: repères historiques et méthodologiques (Collection Sciences du risque et du danger, 2008.
Interpretations of alternative uncertainty representations in a reliability and risk analysis context, Reliability Engineering & System Safety, vol.96, issue.3, pp.353-360, 2011. ,
Fundamental concepts of dependability, 2001. ,
A polynomial time upper bound for the number of contacts in the hp-model on the face-centered-cubic lattice (fcc), Journal of Discrete Algorithms, vol.2, issue.2, pp.161-206, 2004. ,
A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty, Probabilistic Engineering Mechanics, vol.28, pp.18-29, 2012. ,
BIBLIOGRAPHY [10] Frédéric Benhamou, Frédéric Goualard, Laurent Granvilliers, and Jean-François Puget. Revising hull and box consistency, Int. Conf. on Logic Programming, p.143, 2015. ,
, , 1999.
Sûreté et diagnostic des systèmes industriels. principaux concepts, méthodes, techniques et outils. Diagnostic et sûreté de fonctionnement, vol.5, pp.317-344, 1995. ,
Hybrid approach for reliability evaluation of composite generation and transmission systems using monte-carlo simulation and enumeration technique, IEE Proceedings C (Generation, Transmission and Distribution), vol.138, pp.233-241, 1991. ,
Teaching distribution system reliability evaluation using monte carlo simulation, IEEE Transactions on Power Systems, vol.14, issue.2, pp.397-403, 1999. ,
Multi-Component Systems and Structures and Their Reliability, Technometrics, pp.55-77, 1961. ,
Analysing uncertainties: Towards comparing bayesian and interval probabilities'. Mechanical Systems and Signal Processing, vol.37, pp.30-42, 2013. ,
An introduction to markov modeling: Concepts and uses, 1998. ,
Approaches to the automatic discovery of patterns in biosequences, Journal of computational biology, vol.5, issue.2, pp.279-305, 1998. ,
Exploring the new world of the genome with dna microarrays, Nature genetics, vol.21, issue.1s, p.33, 1999. ,
An integrated modeling approach to evaluate and optimize data center sustainability, dependability and cost, Energies, vol.7, issue.1, pp.238-277, 2014. ,
A very short introduction to interval analysis, Seminaires doctorants, vol.2, issue.5, 2006. ,
Fault tree analysis, JE Jacobs Severdurup, p.166, 2002. ,
, Information Technology Security Evaluation Criteria, Harmonized criteria of France, 1991.
Theories of interval arithmetic: Mathematical foundations and applications, 2011. ,
Imprecise markov chains and their limit behavior, Probability in the Engineering and Informational Sciences, vol.23, issue.4, pp.597-635, 2009. ,
Abhishek Kumar Mall, and Dhanesh Padmanabhan. Reliability-based optimization using evolutionary algorithms, IEEE Transactions on Evolutionary Computation, vol.13, issue.5, pp.1054-1074, 2009. ,
Upper and lower probabilities induced by a multivalued mapping, Classic Works of the Dempster-Shafer Theory of Belief Functions, pp.57-72 ,
, , 2008.
The stochastic finite element method in structural reliability, Probabilistic Engineering Mechanics, vol.3, issue.2, pp.83-91, 1988. ,
An extension of universal generating function in multi-state systems considering epistemic uncertainties, IEEE Transactions on Reliability, vol.62, issue.2, pp.504-514, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00803291
Fuzzy multi-state systems: general definitions, and performance assessment, IEEE Transactions on Reliability, vol.57, issue.4, pp.589-594, 2008. ,
Interval analysis -a powerfull trend in numerical analysis, 2007. ,
Representation, propagation, and decision issues in risk analysis under incomplete probabilistic information, Risk Analysis: An International Journal, vol.30, issue.3, pp.361-368, 2010. ,
Linear computations, 1951. ,
Ws-133b fault tree analysis program plan, 1964. ,
Structure comparison and structure patterns, Journal of Computational Biology, vol.7, issue.5, pp.685-716, 2000. ,
Availability and reliability measures for multistate system by using markov reward model, Reliability: Theory & Applications, vol.6, issue.3, 2011. ,
Constraint satisfaction: An emerging paradigm, Foundations of Artificial Intelligence, vol.2, pp.13-27, 2006. ,
Markov chains: from theory to implementation and experimentation, 2017. ,
Probabilistic reliability engineering, 1995. ,
A Bayesian network model to assess the public health risk associated with wet weather sewer overflows discharging into waterways, Water research, vol.46, issue.16, pp.4933-4973, 2012. ,
An outline of an architecture-based method for optimizing dependability attributes of software-intensive systems, Architecting dependable systems IV, pp.188-209, 2007. ,
A probabilistic foundation for vagueness and imprecision in faulttree analysis, IEEE Transactions on Reliability, vol.40, issue.5, pp.563-571, 1991. ,
Software dependability evaluation based on markov usage models. Performance evaluation, vol.40, pp.199-222, 2000. ,
Mobile gene cassettes and integrons: capture and spread of genes by site-specific recombination, Molecular microbiology, vol.15, issue.4, pp.593-600, 1995. ,
Global optimization using interval analysis: revised and expanded, vol.264, 2003. ,
Publications related to early interval work of re moore. Web document: interval. louisiana. edu/Moores early papers/bibliography. html, p.168, 2001. ,
Learning Bayesian networks: The combination of knowledge and statistical data, Machine Learning, vol.20, issue.3, pp.197-243, 1995. ,
Interdependence between safety-control policy and multiplesensor schemes via dempster-shafer theory, IEEE Transactions on Reliability, vol.40, issue.2, pp.182-188, 1991. ,
Exploring attributes for systems architecture evaluation ,
Applied interval analysis: with examples in parameter and state estimation, robust control and robotics, vol.1, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00845131
Fault tree analysis approach in reliability assessment of power system, International Journal of Multidisciplinary Sciences and Engineering, vol.2, issue.6, pp.46-50, 2011. ,
Modèles mathématiques pour l'étude de la fiabilité des systèmes, 1975. ,
Quantitative risk analysis of offshore drilling operations: A Bayesian approach, Safety Science, vol.57, pp.108-117, 2013. ,
Place of possibility theory in transportation analysis, Transportation Research Part B: Methodological, vol.40, issue.8, pp.595-615, 2006. ,
A method for computing complex system reliability, IEEE Transactions on Reliability, vol.21, issue.4, pp.215-219, 1972. ,
Development of al added high-cr ods steels for fuel cladding of next generation nuclear systems, Journal of Nuclear Materials, vol.417, issue.1-3, pp.176-179, 2011. ,
Digital technology at the heart of our lives ,
Bayesian Networks and Influence Diagrams: A Guide to Construction and Analysis, 2013. ,
Aircraft System Safety: Assessments for Initial Airworthiness Certification, p.169, 2016. ,
An annotated overview of system-reliability optimization, IEEE Transactions on reliability, vol.49, issue.2, pp.176-187, 2000. ,
, Optimal reliability design: fundamentals and applications, 2001.
Bayesian networks in reliability, Reliability Engineering & System Safety, vol.92, issue.1, pp.92-108, 2007. ,
Guide de la sûreté de fonctionnement, Cépaduès Editions, vol.324, 1995. ,
The universal generating function in reliability analysis and optimization, vol.6, 2005. ,
Redundancy optimization for series-parallel multi-state systems, IEEE Transactions on Reliability, vol.47, issue.2, pp.165-172, 1998. ,
Consistency techniques for numeric csps, IJCAI, vol.93, pp.232-238, 1993. ,
Interval-valued reliability analysis of multi-state systems, IEEE Transactions on Reliability, vol.60, issue.1, pp.323-330, 2011. ,
Dependability modelling under uncertainty, 2008. ,
Statistical and probabilistic models in reliability, 2012. ,
The markov reward model for a multi-state system reliability assessment with variable demand, Quality Technology & Quantitative Management, vol.4, issue.2, pp.265-278, 2007. ,
Non-homogeneous markov reward model for aging multi-state system under minimal repair, International Journal of Performability Engineering, vol.5, issue.4, pp.303-312, 2009. ,
Multi-state system reliability: assessment, optimization and applications, vol.6, p.170, 2003. ,
Computation of guaranteed enclosures for the solutions of ordinary initial and boundary value problems, Institute of mathematics and its applications conference series, vol.39, pp.425-425, 1992. ,
Cost minimization of maintained multi-state system using optimal load distribution, 2012 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering, pp.1005-1009, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-02307443
Rnamotif, an rna secondary structure definition and search algorithm, Nucleic acids research, vol.29, issue.22, pp.4724-4735, 2001. ,
Power-hierarchy of dependability-model types, IEEE Transactions on Reliability, vol.43, issue.3, pp.493-502, 1994. ,
Estimation of minimal path vectors of multi state two terminal networks with cycles control, Mathematica Balkanica, vol.25, issue.4, pp.437-447, 2011. ,
An algorithm for calculating multi-state network reliability using minimal path vectors, 2008. ,
An algorithm for the reliability evaluation of redundant networks, IEEE Transactions on Reliability, vol.19, issue.4, pp.146-151, 1970. ,
Interval analysis, vol.4, 1966. ,
Methods and applications of interval analysis, 1979. ,
Introduction to interval analysis, vol.110, 2009. ,
Interval Arithmetic and Automatic Error Analysis in Digital Computing, 1962. ,
La sûreté de fonctionnement: méthodes pour maîtriser les risques, 2001. ,
Markov dependability models of complex systems: Analysis techniques, Reliability and Maintenance of Complex Systems, p.171, 1996. ,
Markov regenerative stochastic petri nets to model and evaluate phased mission systems dependability, IEEE Transactions on Computers, issue.12, pp.1337-1351, 2001. ,
Analyse des systèmes-sûreté de fonctionnement. Techniques de l'ingénieur, 2007. ,
Fiabilité des systèmes, vol.39, 1980. ,
Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference, 1988. ,
Complex interval arithmetic and its applications, vol.105, 1998. ,
Data Security, Encyclopedia of Computer Science, pp.504-507, 2000. ,
Modèles graphiques de l'évaluation de Sûreté de Fonctionnement et l'analyse des risques des Systèmes de Systèmes en présence d'incertitudes, 2014. ,
Availability assessment of railway signalling systems with uncertainty analysis using statecharts. Simulation Modelling Practice and Theory, vol.47, pp.1-18, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01060569
A monte-carlo simulation approach for approximating multi-state two-terminal reliability, Reliability Engineering & System Safety, vol.87, issue.2, pp.253-264, 2005. ,
Multi-state component criticality analysis for reliability improvement in multi-state systems, Reliability Engineering & System Safety, vol.92, issue.12, pp.1608-1619, 2007. ,
Optimisation de la disponibilité des systèmes multi-Etats, Projet Industriel de Fin d, 2015. ,
Markov chains and dependability theory, p.172, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01096330
Évaluation de paramètres de sûreté de fonctionnement en présence d'incertitudes et aide à la conception: application aux Systèmes Instrumentés de Sécurité, 2007. ,
The transferable belief model for reliability analysis of systems with data uncertainties and failure dependencies, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, vol.40, pp.266-278, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00522460
Extended component importance measures considering aleatory and epistemic uncertainties, IEEE TRANSAC-TIONS ON RELIABILITY, pp.1-35, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00749618
Reliability assessment for multistate systems under uncertainties based on the dempster-shafer theory, IIE Transactions, vol.45, issue.9, pp.995-1007, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00749606
Reliability assessment for multistate systems under uncertainties based on the Dempster-Shafer theory, IIE Transactions, p.26, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00749606
Network reliability and the factoring theorem, Networks, vol.13, issue.1, pp.107-120, 1983. ,
Imprecise reliability by evidential networks, Proceedings of the Institution of Mechanical Engineers, vol.223, issue.2, pp.119-131, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00340044
Efficient computation of the bounds of continuous time imprecise markov chains, Applied mathematics and computation, vol.250, pp.165-180, 2015. ,
Decision making under uncertainty in energy systems: State of the art, Renewable and Sustainable Energy Reviews, vol.28, pp.376-384, 2013. ,
Risk analysis during tunnel construction using Bayesian Networks: Porto Metro case study. Tunnelling and Underground Space Technology, vol.27, pp.86-100, 2012. ,
Human reliability assessment theory and practice, p.173, 2009. ,
Theory of interval algebra and its application to numerical analysis. RAAG memoirs, vol.2, p.209, 1958. ,
Bayesian Networks for Reliability Analysis of Complex Systems, Progress in Artificial Intelligence -IBERAMIA 98, p.465, 1998. ,
Using imprecise continuous time markov chains for assessing the reliability of power networks with common cause failure and non-immediate repair, SIPTA, 2015. ,
A robust bayesian approach to modeling epistemic uncertainty in common-cause failure models, Reliability Engineering & System Safety, vol.125, pp.13-21, 2014. ,
Foundations of constraint satisfaction: the classic text, 2014. ,
A universal generating function, Soviet Journal of Computer and Systems Sciences, vol.24, issue.5, pp.118-129, 1986. ,
Imprecise reliability: an introductory overview, Computational intelligence in reliability engineering, pp.261-306, 2007. ,
, Sûreté de fonctionnement des systèmes industriels, 1997.
Sureté de fonctionnement des systèmes industriels: fiabilité-facteurs humains, informatisation, 1988. ,
Imprecise probabilities, 2000. ,
Reliability and optimal maintenance, 2006. ,
Information systems engineering: What is it?, CAiSE Workshops, pp.427-437, 2005. ,
Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas, Engineering Applications of Artificial Intelligence, vol.25, issue.4, p.174, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00546144
Treatment of uncertainties associated with pras in risk-informed decision making (nureg1855), 2010. ,
Application of genetic algorithm for reliability allocation in nuclear power plants, Reliability Engineering & System Safety, vol.65, issue.3, pp.229-238, 1999. ,
Markov chain minlp model for reliability optimization of system design and maintenance ,
, Computer Aided Chemical Engineering, vol.44, pp.1483-1488, 2018.
, Multi-state system reliability: A new and systematic review. Procedia Engineering, vol.29, pp.531-536, 2012.
The algebra of many-valued quantities, Mathematische Annalen, vol.104, issue.1, pp.260-290, 1931. ,
Availability optimization of a redundant system through dependency modeling, Applied Mathematical Modelling, vol.38, pp.4574-4585, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01785753
Optimal design of a maintainable cold-standby system, Reliability Engineering & System Safety, vol.92, issue.1, pp.85-91, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-02356419
Incorporation of formal safety assessment and Bayesian network in navigational risk estimation of the Yangtze River, Reliability Engineering & System Safety, vol.118, pp.93-105, 2013. ,
Interval quasi-monte carlo method for reliability assessment with imprecise probability, 2012. ,
Reliability assessment of complex mechatronic systems using a modified nonparametric belief propagation algorithm. Reliability engineering & system safety, vol.95, pp.1174-1185, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-02075618
A monte carlo simulation approach to the availability assessment of multi-state systems with operational dependencies, Reliability Engineering & System Safety, vol.92, issue.7, p.175, 2007. ,
Estimation of the importance measures of multi-state elements by monte carlo simulation, Reliability Engineering & System Safety, vol.86, issue.3, pp.191-204, 2004. ,
La maintenance basée sur la fiabilité, Hermès, 1996. ,