il serait intéressant d'exploiter d'autres méthodes pour l'évaluation de la sûreté de fonctionnement des SIS en présence d'informations imparfaites comme les réseaux de Petri ,
An improved algorithm for network reliability [AGREE, 1957] AGREE. Reliability of military electronic equipement, IEEE Transactions on Reliability, vol.28, pp.58-61, 1957. ,
L'allocation d'objectifs de sûreté de fonctionnement en phase de spécification et de conception, 9ème Colloque International de Fiabilité et Maintenabilité, Lambda mu 9 et ESREL 94, pp.43-52, 1994. ,
Reliability engineering01-1996. Application of Safety Instrumented Systems for the process control industry, Instrumentation Society of America, 1964. ,
Epistemic uncertainty quantification techniques including evidence theory for large-scale structures, Computers & Structures, vol.82, issue.13-14, pp.1101-1112, 2004. ,
DOI : 10.1016/j.compstruc.2004.03.014
Importance of system components and fault tree analysis, Operations Research Center, 1973. ,
An overview of genetic algorithms : Part 1, fundamentals Expanding the applicability of ISA TR84.02 in the field, ISA Transactions, vol.15, issue.39, pp.58-59357, 1993. ,
Decision-Making in a Fuzzy Environment, Théorie des graphes et ses applications, pp.141-164, 1958. ,
DOI : 10.1287/mnsc.17.4.B141
Contribution à l'évaluation de la sécurité des systèmes complexes de transport guidé, Bhattacharyya, 1999] M. Bhattacharyya. Fuzzy markovian decision process. Fuzzy Sets and Systems, pp.273-282, 1999. ,
Performance based safety standards : an integrated risk assessment program, 1997. ,
A measure of uncertainty importance for components in fault trees, 1983. ,
On the importance of different components in a multicomponent system, Multivariate Analysis II, 1969. ,
DOI : 10.21236/AD0670563
Reliability-prediction technique for use in design of complex systems, IRE National Convention Record, vol.10, pp.68-79, 1957. ,
La logique floue et ses applications. Vie artificielle, 1995. ,
Contribution à la modélisation des systèmes à temps contraint et application au multimédia, 2001. ,
Fuzzy reasoning supported by Petri nets, IEEE Transactions on Fuzzy Systems, vol.2, issue.2, pp.135-150, 1994. ,
DOI : 10.1109/91.277962
Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context. Fuzzy Sets and Systems, pp.145-172, 1991. ,
System failure engineering and fuzzy methodology : An introductory overview. Fuzzy Sets and Systems, pp.113-133, 1993. ,
The design of knowledge bases through hierarchical high level fuzzy petri nets. Fuzziness in Petri Nets, 1998. ,
A fuzzy Petri net approach to reasoning about uncertainty in robotic systems, [1993] Proceedings IEEE International Conference on Robotics and Automation, 1993. ,
DOI : 10.1109/ROBOT.1993.292001
Petri nets with uncertain markings, LNCS Advances in Petri nets, vol.483, pp.64-78, 1990. ,
DOI : 10.1007/3-540-53863-1_21
Sur les Réseaux de Petri avec Marquages Flous, 1990. ,
Time fuzzy petri nets, Fuzziness in Petri Nets : Studies in Fuzziness and Soft Computing, 1999. ,
Guidelines for process equipement reliability data with data tables. Center for chemical process safety of the American institute of chemical engineers, 1991. ,
Active learning for parzen windows classifier, pp.49-56, 2005. ,
Fault tree analysis : Reliability theory and systems safety analysis, Operations Research Center, pp.34-74, 1974. ,
On the computational complexity of reliability redundancy allocation in a series system, Operations Research Letters, vol.11, issue.5, pp.309-315, 1992. ,
DOI : 10.1016/0167-6377(92)90008-Q
Théorie des graphes : Au delà des ponts de Königsberg, Problèmes, théorèmes, algorithmes. Vuibert, 2003. [Collet, 1996] J. Collet. Some remarks on rare-event approximation, IEEE Transactions on Reliability, vol.45, pp.106-108, 1996. ,
Upper and Lower Probabilities Induced by a Multivalued Mapping, The Annals of Mathematical Statistics, vol.38, issue.2, pp.325-339, 1967. ,
DOI : 10.1214/aoms/1177698950
La gestion des risques : principes et pratiques, 2003. ,
Concepts et méthodes probabilistes de base de la sécurité, 1995. ,
Les invariants de l'analyse préliminaire des risques, 2005. ,
Comparisons of block diagram and Markov method system reliability and mean time to failure results for constant and non-constant unit failure rates, Microelectronics Reliability, vol.37, issue.3, pp.505-509, 1997. ,
DOI : 10.1016/0026-2714(95)00180-8
Possibility theory : An approach to computerized processing of uncertainty, 1988. ,
La fusion d'informations imprécises, pp.447-458, 1994. ,
On Possibility/Probability Transformations, 1993. ,
DOI : 10.1007/978-94-011-2014-2_10
Reliability allocation through cost minimization, IEEE Transactions on Reliability, vol.52, issue.1, pp.106-111, 2003. ,
DOI : 10.1109/TR.2002.807242
Contribution aux méthodes d'allocation d'exigences de fiabilité aux composants de systèmes, 2000. ,
Fuzzy dynamic programming and its extensions, TIMS/Studies in Management Sciences, vol.20, pp.147-167, 1984. ,
Siting criteria : a new approach, Atom, vol.128, pp.152-166, 1967. ,
The profust fault tree and its analysis, Journal of National University of Defense Technology, vol.23, pp.85-88, 2001. ,
How to hand-calculate system reliability charateristics, IEEE Transactions on Reliability, vol.24, pp.169-174, 1975. ,
Safety Instrumented Systems Verification-Practical Probabilistic Calculations, 2006. ,
Algorithmes génétiques Programmable controller design based on a synchronized coloured petri net model and integrating fuzzy reasoning, Lecture Notes in Computer Science, pp.218-237, 1994. ,
Analyse de risques, formalisation des connaissances et structuration des données pour l'intégration des outils d'étude et de décision, 2003. ,
Safety Instrumented Systems : Design, analysis and justification, 2006. ,
Maîtrise de la sécurité des systèmes de la robotique de service, 2003. ,
A simple reliability block diagram method for safety integrity verification, Reliability Engineering & System Safety, vol.92, issue.9, pp.1267-1273, 2006. ,
DOI : 10.1016/j.ress.2006.08.002
A probabilistic foundation for vagueness and imprecision in fault-tree analysis, IEEE Transactions on Reliability, vol.40, issue.5, pp.563-570, 1991. ,
DOI : 10.1109/24.106778
A system availability "top down" apportionment method, Proceddings of the Annual Reliability and Maintenability Symposium, 1985. ,
Determination of product quality from an FMS cell using fuzzy Petri nets, Proceedings of IEEE International Conference on Systems, Man and Cybernetics, 1994. ,
DOI : 10.1109/ICSMC.1994.400146
Reliability Data for Safety Instrumented Systems, 2006. ,
Alternative representations of epistemic uncertainty, Reliability Engineering & System Safety, vol.85, issue.1-3, pp.1-10, 2004. ,
DOI : 10.1016/j.ress.2004.03.001
Adaptation In Natural And Artificial Systems, 1975. ,
A linear approximation for redundant reliability problems with multiple component choices. Computers and industrial engineering, pp.91-103, 2003. ,
Posbist fault tree analysis of coherent systems, ] IEC61061. Stratifiés de bois densifiés, non imprégnés, à usages électriques. International Electrotechnical Commission (IEC), pp.141-148, 1998. ,
DOI : 10.1016/j.ress.2003.11.002
Analyse critique des formules de base données dans la norme internationnale cei 61508-6, Proceedings of the QUALITA 2005 Conference, 2005. ,
Quelques interrogations et commentaires relatifs a la norme cei 61508, Proceedings of the Lambda Mu 2006 Conference. Safety Instrumented Fonctions (SIF), Safety Integrity Level (SIL), Evaluation Techniques. Instrumentation Society of America, 2002. ,
Safety Integrity Level (SIL), Evaluation Techniques Part 2 : Determining the SIL of a SIF via Simplified Equations, Safety Instrumented Fonctions (SIF), pp.2-2002, 2002. ,
Safety Integrity Level (SIL), Evaluation Techniques Part 4 : Determining the SIL of a SIF via Markov Analysis, Safety Instrumented Fonctions (SIF), pp.2-2002, 2002. ,
Introduction to Fuzzy Arithmetic Theory and Application. Van Nostrand Reinhold Company, Modèles mathématiques pour l'étude de la fiabilité des systèmes. Masson et Cie, 1975. ,
Introduction à la combinatoire en vue des applications, Méthodes et modèles de la recherche opérationnelle, 1968. ,
Réseaux de Petri p-temporels : contribution à l'étude des systèmes à événements discrets, 1997. ,
On the reliability of networks HAZOP and HAZAN : Identifying and assessing process industry hazards, Proceedings of the National Electronics Conference, pp.128-136, 1954. ,
Allocation of arguments and evidence theory, Theoretical Computer Science, vol.171, issue.1-2, pp.221-246, 1997. ,
DOI : 10.1016/S0304-3975(96)00130-2
Foundations of the Theory of Probability, 1960. ,
Uncertainty and Vagueness in Knowledge-Based Systems, 1991. ,
DOI : 10.1007/978-3-642-76702-9
A note on heuristic methods in optimal system reliability Optimal reliability design : fundamentals and applications, IEEE Transactions on Reliability, vol.27, pp.320-324, 1978. ,
Processor power considerationsan application of fuzzy markov chains. Fuzzy Sets and Systems, pp.289-299, 1987. ,
Fault tree for decision making in system analysis, 1975. ,
Méthodes d'estimation des risques machines : analyse bibliographique, Lambda Mu, 2006. ,
Block diagram method for analyzing multi-state systems with uncovered failures, Reliability Engineering & System Safety, vol.92, issue.6, pp.727-734, 2007. ,
DOI : 10.1016/j.ress.2006.02.009
Fast and accurate power dispatch using a relaxed genetic algorithm and a local gradient technique, Expert Systems with Applications, vol.19, issue.3, pp.159-165, 2000. ,
DOI : 10.1016/S0957-4174(00)00030-0
A bound heuristic algorithm for solving reliability redundancy optimization, Microelectronics and Reliability, vol.36, pp.335-339, 1996. ,
Fuzzy fault-tree analysis using failure possibility, Microelectronics Reliability, vol.33, issue.4, pp.583-597, 1993. ,
DOI : 10.1016/0026-2714(93)90326-T
A study of fuzzy petri nets concepts Audit de sécurité par algorithmes génétiques, Proceedings European Congress on Fuzzy and Intelligent Technologies, 1994. ,
Algorithmes génétiques et Fractales. Habilitation à diriger des recherches, 1999. ,
The effect of execution policies on the semantics and analysis of stochastic Petri nets, Matarazzo and Munda, pp.832-846407, 1989. ,
DOI : 10.1109/32.29483
Proposal of a generic methodology to harmonize preliminary hazard analyses for guided transport Reliability and Risk Analysis, IEEE(SMC), 1981. ,
Fault tree analysis : the study of unlikely events in complex systems, Boeing/UW System safety symposium, 1965. ,
A study of the recoverability of computer system, Dep. Comput. Sci, 1974. ,
How to solve it : Modern heuristics, 2000. ,
A new method for fuzzy fault tree analysis, Microelectronics Reliability, vol.29, issue.2, pp.195-216, 1989. ,
DOI : 10.1016/0026-2714(89)90568-4
Fuzzy-timing high-level petri nets (fthns) for time-critical systems Fuzziness in Petri Nets : Studies in Fuzziness and Soft Computing [Nakagawa and Miyazaki, 1981] Y. Nakagawa and S. Miyazaki. An experimental comparison of the heuristic methods for solving reliability optimization problems A heristic method for determining optimal reliability allocation, Department of Defence. MIL-HDBK-338B Electronic reliability design handbook. 1998. [of European Communities, 1992] Commission of European Communities. Benchmark exercise on major hazard analysis. 1992. [OHSAS18001, 1999] OHSAS18001. Système de management de la santé et de la sécurité au travail -Spécification -. BSI, Afnor, pp.88-114181, 1977. ,
A representation of human reliability using fuzzy concepts, OREDA, 2002] OREDA. Offshore reliability data handbook, pp.153-173, 1988. ,
DOI : 10.1016/0020-0255(88)90038-2
Line fitting in noisy data using genetic algorithm, 3ème Conférence Internationale sur le Contrôle Qualité par Vision Artificielle QCAV'97, pp.214-217, 1997. ,
Uncertainty in fault tree analysis: A fuzzy approach, Fuzzy Sets and Systems, vol.83, issue.2, pp.135-141, 1996. ,
DOI : 10.1016/0165-0114(95)00386-X
Genetic algorithms in optimization of system reliability, IEEE Transactions on Reliability, vol.44, issue.2, pp.172-180521, 1988. ,
DOI : 10.1109/24.387368
On Estimation of a Probability Density Function and Mode, The Annals of Mathematical Statistics, vol.33, issue.3, pp.1065-1076, 1962. ,
DOI : 10.1214/aoms/1177704472
A generalized fuzzy Petri net model, IEEE Transactions on Fuzzy Systems, vol.2, issue.4, pp.295-301, 1994. ,
DOI : 10.1109/91.324809
Mise en oeuvre et interpretation de la norme CEI 61508 par la société LGM, Proceedings of the Lambda Mu 2006 Conference, 2006. ,
Petri Nets, ACM Computing Surveys, vol.9, issue.3, pp.153-170, 1977. ,
DOI : 10.1145/356698.356702
Kommunikation mit automaten, 1962. ,
Unfair coins and necessity measures : toward a possibilistic interpretation of histograms. Fuzzy Sets and Systems A review of fuzzy set aggregation connectives, Information sciences, vol.10, issue.36, pp.15-2085, 1983. ,
Comparaison de méthodes de classification : application à l'identification d'objets ferromagnétiques sous-marin. Traitement du signal, Contribution à la surveillance des Systèmes de Production en utilisant les techniques de l'intelligence artificielle. Habilitation à diriger des recherches, pp.181-195, 1998. ,
Redundancy allocation for series-parallel systems using a max-min approach, IIE Transactions, vol.33, issue.9, pp.891-898, 2004. ,
DOI : 10.1109/24.784268
Engineering optimization-theory and practice, 1996. ,
DOI : 10.1002/9780470549124
URL : http://deptauto.csu.edu.cn/staffmember/paper and matlab code/An orthogonal design based constrained evolutionary optimization algorithm/An orthogonal design based constrained evolutionary optimization algorithm.pdf
A practical comparison of methods to assess sum-of-products, Reliability Engineering & System Safety, vol.79, issue.1, pp.33-42, 2003. ,
DOI : 10.1016/S0951-8320(02)00165-5
Program implementation of reasoning using fuzzy and fuzzy time petri nets, 20th Int. Conf. on Information Technology Interfaces (ITI'98), Croatia, pp.1119-1124, 1998. ,
Impact de l'imprécision des taux de défaillances dans les arbres de défaillances et facteurs d'importance flous, Journées Doctorales Modélisation, Analyse et Conduite des Systèmes dynamiques, JDMACS 2005, CDROM papier n°83, 2005. ,
Aide à la décision dans la réduction de l'incertitude des SIL : une approche floue/possibiliste. e-STA, 2006. ,
Evaluating safety integrity level in presence of uncertainty, The 4th International Conference on Safety and Reliability, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00104708
On the use of a new possibilist importance measure to reduce safety integrity level uncertainty, The 4th International Conference on Safety and Reliability, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00104712
Optimal design of safety instrumented systems, ACD, Workshop on Advanced Control and Diagnosis, CDROM papier n°30, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00118663
A Fuzzy Probabilistic Approach for Determining Safety Integrity Level, IEEE Transactions on Fuzzy Systems, vol.16, issue.1, 2007. ,
DOI : 10.1109/TFUZZ.2007.903328
URL : https://hal.archives-ouvertes.fr/hal-00167486
Optimal design of safety instrumented systems : A graph reliability approach, 7ème édition du congrès international pluridisciplinaire, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00143145
La combinaison de l'information incertaine et ses aspects algorithmiques, 1991. ,
Fault tree analysis of fuzzy mechanical systems, Microelectronics Reliability, vol.34, issue.4, pp.653-667, 1994. ,
DOI : 10.1016/0026-2714(94)90030-2
HIGH LEVEL FUZZY PETRI NETS AND BACKWARD REASONING, Proceedings IPMU, 1994. ,
DOI : 10.1142/9789812830753_0015
A Mathematical Theory of Evidence A direct method for maximizing the system reliability, IEEE Transactions on Reliability, vol.20, pp.256-259, 1971. ,
Convergence of Liu???Storey conjugate gradient method, European Journal of Operational Research, vol.182, issue.2, pp.552-560, 2007. ,
DOI : 10.1016/j.ejor.2006.09.066
Bayesian networks inference algorithm to implement dempster shafer theory in reliability analysis. Reliability Engineering and System Safety, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00139492
Allocation de SIL par agrégation d'avis d'experts, 15ème Colloque National de Maîtrise des Risques et Sûreté de Fonctionnement, Lambda-mu 15, 2006. ,
SIL allocation of SIS by aggregation of experts opinions [Singer, 1990] D. Singer. A fuzzy set approach to fault tree and reliability analysis. Fuzzy Sets and Systems, ESREL, Safety and Reliability Conference, pp.145-155, 1990. ,
Risk assessment of dynamic systems : an overview. Reliability Engineering and System Safety, 1996. ,
Fuzzy fault tree analysis using resolution identity, p.193, 1993. ,
Safety instrumented functions and safety integrity levels (SIL), ISA Transactions, vol.37, issue.4, pp.337-351, 1998. ,
DOI : 10.1016/S0019-0578(98)00038-X
Improving management of technological risk : a process safety compliance framework Risk and Safety Assessmen Conference, Hawaii Viewpoint on ISA TR84.0.02 : simplified methods and fault tree analysis, Symeonaki and G. B. Stamou. Theory of markov systems with fuzzy states. Fuzzy Sets and Systems, pp.125-131427, 1995. ,
Fault tree analysis by fuzzy probability A new approach to real time reliability analysis of transmission system using fuzzy markov model, IEEE Transactions on Reliability Electrical Power and Energy Systems, vol.32, issue.26, pp.453-457821, 1983. ,
Ingénierie du risque Petri nets for sequence constraint propagation in knowledge based approaches, Concurrency and Petri Nets, pp.555-569555, 1987. ,
Réseaux de petri pour la détection et le diagnostic, Journées Nationales, 1994. ,
Monitoring manufacturing systems by means of Petri nets with imprecise markings, Proceedings. IEEE International Symposium on Intelligent Control 1989, 1989. ,
DOI : 10.1109/ISIC.1989.238688
Fault tree handbook, 1981. ,
Evaluation de la fiabilité, disponibilité et maintenabilité des syst ?mes réparables : la méthode de l, 1987. ,
Fine-grained tournament selection operator in genetic algorithms, Computing and Informatics, vol.22, pp.143-162, 2003. ,
Statistical reasoning with imprecise probabilities, 1991. ,
DOI : 10.1007/978-1-4899-3472-7
The Impact of Data Uncertainty in Determining Safety Integrity Level, Launch control safety study, pp.393-397, 1961. ,
DOI : 10.1205/psep.82.6.393.53199
Synthèse d'un contrôleur flou par Algorithme Génétique : Application au réglage dynamique des paramètres d'un système, 1998. ,
A New Dynamic Programming Method for Reliability & Redundancy Allocation in a Parallel-Series System, ] L. Zadeh. Fuzzy sets. Information and Control, pp.254-261338, 1965. ,
DOI : 10.1109/TR.2005.847270
Probability measures of Fuzzy events, Journal of Mathematical Analysis and Applications, vol.23, issue.2, pp.421-427, 1968. ,
DOI : 10.1016/0022-247X(68)90078-4
Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, vol.1, issue.1, pp.3-28, 1978. ,
DOI : 10.1016/0165-0114(78)90029-5
Maximizing sets and fuzzy Markoff algorithms, IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews), vol.28, issue.1, pp.9-15201, 1983. ,
DOI : 10.1109/5326.661086
Contribution à l'application de la théorie des fonctions de croyance en reconnaissance des formes, 1997. ,