E. Zio, The Monte Carlo Simulation Method for System Reliability and Risk Analysis, p.198, 2013.
DOI : 10.1007/978-1-4471-4588-2

URL : https://hal.archives-ouvertes.fr/hal-00777141

T. G. Lewis, Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation, 2006.
DOI : 10.1002/0471789542

W. Clinton, Presidential Decision Directive PDD-63, Protecting America's Critical Infrastructures, 1998.

G. W. Bush, Homeland Security Presidential Directive-3 (HSPD-3), 2002.

G. W. Bush, Homeland Security Presidential Directive-7 (HSPD-7), 2003.

C. Pursiainen, The Challenges for European Critical Infrastructure Protection, Journal of European Integration, vol.31, issue.6, pp.721-739, 2009.
DOI : 10.1007/1-4020-4364-3

B. Obama, Presidential Policy Directive 21: Critical Infrastructure Security and Resilience

G. P. Cimellaro, A. M. Reinhorn, and M. Bruneau, Framework for analytical quantification of disaster resilience, Engineering Structures, vol.32, issue.11, pp.3639-3649, 2010.
DOI : 10.1016/j.engstruct.2010.08.008

J. D. Moteff, Critical Infrastructure Resilience: The Evolution of Policy and Programs and Issues for Congress, Congressional Res. Service, 2012.

E. Zio, Reliability engineering: Old problems and new challenges, Reliability Engineering & System Safety, vol.94, issue.2, pp.125-141, 2009.
DOI : 10.1016/j.ress.2008.06.002

URL : https://hal.archives-ouvertes.fr/hal-00610053

M. Ouyang, Review on modeling and simulation of interdependent critical infrastructure systems, Reliability Engineering & System Safety, vol.121, pp.43-60, 2014.
DOI : 10.1016/j.ress.2013.06.040

Z. W. Birnbaum, On the importance of different components in a multicomponent system, Multivariate Analysis. NewYork, 1969.

J. Fussell, How to Hand-Calculate System Reliability and Safety Characteristics, IEEE Transactions on Reliability, vol.24, issue.3, pp.169-174, 1975.
DOI : 10.1109/TR.1975.5215142

A. Gandini, Importance and sensitivity analysis in assessing system reliability, IEEE Transactions on Reliability, vol.39, issue.1, pp.61-70, 1990.
DOI : 10.1109/24.52613

G. Levitin, L. Podofillini, and E. Zio, Generalized importance measures for multistate elements based on performance level restrictions, Rel. Eng. Syst. Safety, vol.82, pp.63-73, 2003.

J. E. Ramirez-marquez and D. W. Coit, Composite Importance Measures for Multi-State Systems with Multi-State Components, IEEE Transactions on Reliability, vol.54, issue.3, pp.517-529, 2005.
DOI : 10.1109/TR.2005.853444

J. E. Ramirez-marquez and D. W. Coit, Multi-state component criticality analysis for reliability improvement in multi-state systems, Reliability Engineering & System Safety, vol.92, issue.12, pp.1608-1619, 2007.
DOI : 10.1016/j.ress.2006.09.014

J. D. Andrews and S. Beeson, Birnbaum's measure of component importance for noncoherent systems, IEEE Transactions on Reliability, vol.52, issue.2, pp.213-219, 2003.
DOI : 10.1109/TR.2003.809656

W. Wang, J. Loman, and P. Vassiliou, Reliability importance of components in a complex system, Proc. IEEE Annu. Symp. Rel. Maintainability, pp.6-11, 2004.

Y. Fang and E. Zio, Hierarchical Modeling by Recursive Unsupervised Spectral Clustering and Network Extended Importance Measures to Analyze the Reliability Characteristics of Complex Network Systems, American Journal of Operations Research, vol.03, issue.01, pp.101-112, 2013.
DOI : 10.4236/ajor.2013.31A010

URL : https://hal.archives-ouvertes.fr/hal-00838320

S. P. Borgatti, Centrality and network flow, Social Networks, vol.27, issue.1, pp.55-71, 2005.
DOI : 10.1016/j.socnet.2004.11.008

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

W. Kröger and E. Zio, Vulnerable Systems, 2011.
DOI : 10.1007/978-0-85729-655-9

J. Nieminen, On the centrality in a graph, Scandinavian Journal of Psychology, vol.15, issue.1, pp.332-336, 1974.
DOI : 10.1007/BF02289527

L. C. Freeman, Centrality in social networks conceptual clarification, Social Networks, vol.1, issue.3, pp.215-239, 1979.
DOI : 10.1016/0378-8733(78)90021-7

G. Sabidussi, The centrality index of a graph, Psychometrika, vol.24, issue.66, pp.581-603, 1966.
DOI : 10.1007/BF02289527

S. Wasserman and K. Faust, Social Network Analysis: Methods and, Applications. Cambridge, U.K, 1994.
DOI : 10.1017/CBO9780511815478

V. Latora and M. Marchiori, A measure of centrality based on network efficiency, New Journal of Physics, vol.9, issue.6, p.188, 2007.
DOI : 10.1088/1367-2630/9/6/188

L. C. Freeman, S. P. Borgatti, and D. R. White, Centrality in valued graphs: A measure of betweenness based on network flow, Social Networks, vol.13, issue.2, pp.141-154, 1991.
DOI : 10.1016/0378-8733(91)90017-N

M. E. Newman, A measure of betweenness centrality based on random walks, Social Networks, vol.27, issue.1, pp.39-54, 2005.
DOI : 10.1016/j.socnet.2004.11.009

E. Jenelius, T. Petersen, and L. G. Mattsson, Importance and exposure in road network vulnerability analysis, Transportation Research Part A: Policy and Practice, vol.40, issue.7, pp.537-560, 2006.
DOI : 10.1016/j.tra.2005.11.003

P. Hines and S. Blumsack, A Centrality Measure for Electrical Networks, Proceedings of the 41st Annual Hawaii International Conference on System Sciences (HICSS 2008), pp.185-185, 2008.
DOI : 10.1109/HICSS.2008.5

E. Zio and R. Piccinelli, Randomized flow model and centrality measure for electrical power transmission network analysis, Reliability Engineering & System Safety, vol.95, issue.4, pp.379-385, 2010.
DOI : 10.1016/j.ress.2009.11.008

URL : https://hal.archives-ouvertes.fr/hal-00607124

E. Zio and G. Sansavini, Component Criticality in Failure Cascade Processes of Network Systems, Risk Analysis, vol.70, issue.6, pp.1196-1210, 2011.
DOI : 10.1111/j.1539-6924.2011.01584.x

URL : https://hal.archives-ouvertes.fr/hal-00658543

B. Natvig, A. B. Huseby, and M. O. Reistadbakk, Measures of component importance in repairable multistate systems???a numerical study, Reliability Engineering & System Safety, vol.96, issue.12, pp.1680-1690, 2011.
DOI : 10.1016/j.ress.2011.07.006

K. Barker, J. E. Ramirez-marquez, and C. M. Rocco, Resilience-based network component importance measures, Reliability Engineering & System Safety, vol.117, pp.89-97, 2013.
DOI : 10.1016/j.ress.2013.03.012

H. Baroud, K. Barker, and J. E. Ramirez-marquez, Importance measures for inland waterway network resilience, Transportation Research Part E: Logistics and Transportation Review, vol.62, pp.55-67, 2014.
DOI : 10.1016/j.tre.2013.11.010

V. R. Merlin and D. G. Saari, Copeland Method II: Manipulation, Monotonicity, and Paradoxes, Journal of Economic Theory, vol.72, issue.1, pp.148-172, 1997.
DOI : 10.1006/jeth.1996.2205

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

R. Kinney, P. Crucitti, R. Albert, and V. Latora, Modeling cascading failures in the North American power grid, The European Physical Journal B, vol.69, issue.1, pp.101-107, 2005.
DOI : 10.1140/epjb/e2005-00237-9

J. F. Espiritu, D. W. Coit, and U. Prakash, Component criticality importance measures for the power industry, Electric Power Systems Research, vol.77, issue.5-6, pp.407-420, 2007.
DOI : 10.1016/j.epsr.2006.04.003

J. C. Pomerol and S. Barba-romero, Multicriterion Decision in Management: Principles and Practice, 2000.
DOI : 10.1007/978-1-4615-4459-3

A. Lipowski and D. Lipowska, Roulette-wheel selection via stochastic acceptance, Physica A: Statistical Mechanics and its Applications, pp.2193-2196, 2012.
DOI : 10.1016/j.physa.2011.12.004

URL : http://arxiv.org/abs/1109.3627

R. E. Barlow and F. Proschan, Importance of system components and fault tree events, Stochastic Processes and their Applications, vol.3, issue.2, pp.153-73, 1975.
DOI : 10.1016/0304-4149(75)90013-7

B. Natvig, New light on measures of importance of system components , " Scand, J. Stat, vol.12, pp.43-54, 1985.

B. Natvig, Multistate Systems Reliability Theory with Applications, 2011.
DOI : 10.1002/9780470977088

B. Natvig, Measures of Component Importance in Nonrepairable and Repairable Multistate Strongly Coherent Systems, Methodology and Computing in Applied Probability, vol.94, issue.3, pp.523-547, 2011.
DOI : 10.1007/s11009-010-9170-2

Y. Fang, Critical infrastructure protection by advanced modelling, simulation and optimization for cascading failure mitigation and resilience, Ind. Eng. Dept, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01150318