Probabilistic multi-scale modeling of interdependencies between critical infrastructure systems for resilience

Abstract The prevalence of aging infrastructure and an increase in cascading failures have highlighted the need to focus on building strong, interdependent infrastructure systems to increase resilience. To understand the ways infrastructure systems depend on one another, we define three comprehensive interdependency types – service provision, geographic, and access for repair. We propose a methodology to model interdependencies probabilistically using a novel Bayesian network approach. By understanding how these interdependencies affect the fragility of overall systems, infrastructure owners can work towards creating more resilient infrastructure systems that sustain less damage from natural hazards and targeted attacks, and restore services to communities rapidly. Generalized expressions to create the multi-scale Bayesian network model accounting for each interdependency type are presented and applied to a real interdependent water, power, and gas network to demonstrate their use. These models enable us to probabilistically infer which interdependencies have the most critical effects and prioritize components for repair or reinforcement to increase resilience.

[1]  Paolo Gardoni,et al.  Modeling the resilience of critical infrastructure: the role of network dependencies , 2016, Sustainable and resilient infrastructure.

[2]  Graham Kendall,et al.  A scheme for determining vehicle routes based on Arc-based service network design , 2017, INFOR Inf. Syst. Oper. Res..

[3]  Luigi Portinale,et al.  Improving the analysis of dependable systems by mapping fault trees into Bayesian networks , 2001, Reliab. Eng. Syst. Saf..

[4]  Kash Barker,et al.  Modeling infrastructure resilience using Bayesian networks: A case study of inland waterway ports , 2016, Comput. Ind. Eng..

[5]  Paolo Franchin,et al.  Probabilistic Assessment of Civil Infrastructure Resilience to Earthquakes , 2015, Comput. Aided Civ. Infrastructure Eng..

[6]  R. Rackwitz,et al.  Risk acceptance and maintenance optimization of aging civil engineering infrastructures , 2009 .

[7]  Pengcheng Zhang,et al.  A generalized modeling framework to analyze interdependencies among infrastructure systems , 2011 .

[8]  Armen Der Kiureghian,et al.  Compression and inference algorithms for Bayesian network modeling of infrastructure systems , 2015 .

[9]  Barry J. Goodno,et al.  Seismic response of critical interdependent networks , 2007 .

[10]  Stephanie E. Chang,et al.  Measuring Improvements in the Disaster Resilience of Communities , 2004 .

[11]  Iris Tien,et al.  Bayesian Network Methods for Modeling and Reliability Assessment of Infrastructure Systems , 2014 .

[12]  Milos Manic,et al.  CIMS: A Framework for Infrastructure Interdependency Modeling and Analysis , 2006, Proceedings of the 2006 Winter Simulation Conference.

[13]  Paolo Gardoni,et al.  Seismic Reliability Analysis of Deteriorating Representative U.S. West Coast Bridge Transportation Networks , 2016 .

[14]  Anne S. Kiremidjian,et al.  Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures , 2014 .

[15]  Paolo Gardoni,et al.  Post-hazard flow capacity of bridge transportation network considering structural deterioration of bridges , 2011 .

[16]  Leonardo Dueñas-Osorio,et al.  Probabilistic study of cascading failures in complex interdependent lifeline systems , 2011, Reliab. Eng. Syst. Saf..

[17]  Natasha Smith,et al.  Bayesian networks for system reliability reassessment , 2001 .

[18]  Iris Tien,et al.  Algorithms for Bayesian network modeling and reliability assessment of infrastructure systems , 2016, Reliab. Eng. Syst. Saf..

[19]  B. Obama Presidential Policy Directive 21: Critical Infrastructure Security and Resilience , 2013 .

[20]  Paul Hines,et al.  Reducing Cascading Failure Risk by Increasing Infrastructure Network Interdependence , 2014, Scientific Reports.

[21]  James P. Peerenboom,et al.  Identifying, understanding, and analyzing critical infrastructure interdependencies , 2001 .

[22]  Paolo Gardoni,et al.  Matrix-based system reliability method and applications to bridge networks , 2008, Reliab. Eng. Syst. Saf..

[23]  Asce,et al.  2013 report card for America’s infrastructure , 2017 .

[24]  Billie F. Spencer,et al.  Seismic Performance Assessment of Interdependent Lifeline Systems , 2007 .

[25]  Min Ouyang,et al.  Review on modeling and simulation of interdependent critical infrastructure systems , 2014, Reliab. Eng. Syst. Saf..

[26]  W. Leontief Input-output economics , 1967 .

[27]  Jennifer A. Horney,et al.  Metrics for Evaluating and Improving Community Resilience , 2017 .

[28]  Iris Tien,et al.  Compression algorithm for Bayesian network modeling of binary systems , 2014 .

[29]  Man Cheol Kim,et al.  Reliability block diagram with general gates and its application to system reliability analysis , 2011 .

[30]  Daniel Straub,et al.  Efficient Bayesian network modeling of systems , 2013, Reliab. Eng. Syst. Saf..

[31]  Yacov Y. Haimes Models for risk management of systems of systems , 2008, Int. J. Syst. Syst. Eng..

[32]  Adam Rose,et al.  Input–Output Analysis: The First Fifty Years , 1989 .

[33]  Leonardo Dueñas-Osorio,et al.  The Interdependent Network Design Problem for Optimal Infrastructure System Restoration , 2016, Comput. Aided Civ. Infrastructure Eng..

[34]  Armen Der Kiureghian,et al.  Multi-scale reliability analysis and updating of complex systems by use of linear programming , 2008, Reliab. Eng. Syst. Saf..