Strategic Preparedness for Recovery from Catastrophic Risks to Communities and Infrastructure Systems of Systems

Natural and human-induced disasters affect organizations in myriad ways because of the inherent interconnectedness and interdependencies among human, cyber, and physical infrastructures, but more importantly, because organizations depend on the effectiveness of people and on the leadership they provide to the organizations they serve and represent. These human-organizational-cyber-physical infrastructure entities are termed systems of systems. Given the multiple perspectives that characterize them, they cannot be modeled effectively with a single model. The focus of this article is: (i) the centrality of the states of a system in modeling; (ii) the efficacious role of shared states in modeling systems of systems, in identification, and in the meta-modeling of systems of systems; and (iii) the contributions of the above to strategic preparedness, response to, and recovery from catastrophic risk to such systems. Strategic preparedness connotes a decision-making process and its associated actions. These must be: implemented in advance of a natural or human-induced disaster, aimed at reducing consequences (e.g., recovery time, community suffering, and cost), and/or controlling their likelihood to a level considered acceptable (through the decisionmakers' implicit and explicit acceptance of various risks and tradeoffs). The inoperability input-output model (IIM), which is grounded on Leontief's input/output model, has enabled the modeling of interdependent subsystems. Two separate modeling structures are introduced. These are: phantom system models (PSM), where shared states constitute the essence of modeling coupled systems; and the IIM, where interdependencies among sectors of the economy are manifested by the Leontief matrix of technological coefficients. This article demonstrates the potential contributions of these two models to each other, and thus to more informative modeling of systems of systems schema. The contributions of shared states to this modeling and to systems identification are presented with case studies.

[1]  S. Kaplan,et al.  On The Quantitative Definition of Risk , 1981 .

[2]  H. Kunreuther,et al.  Catastrophe modeling : a new approach to managing risk , 2013 .

[3]  G. Dantzig,et al.  The decomposition algorithm for linear programming: notes on linear programming and extensions-part 57. , 1961 .

[4]  Yuri M. Ermoliev,et al.  A system approach to management of catastrophic risks , 2000, Eur. J. Oper. Res..

[5]  R. Jewett,et al.  Systems Engineering , 1959, IRE Transactions on Military Electronics.

[6]  Yacov Y Haimes,et al.  Systemic Valuation of Strategic Preparedness Through Application of the Inoperability Input‐Output Model with Lessons Learned from Hurricane Katrina , 2007, Risk analysis : an official publication of the Society for Risk Analysis.

[7]  Y. Haimes,et al.  Leontief-Based Model of Risk in Complex Interconnected Infrastructures , 2001 .

[8]  George B. Dantzig,et al.  Decomposition Principle for Linear Programs , 1960 .

[9]  Erwann Michel-Kerjan,et al.  Extreme Events, Global Warming, and Insurance-Linked Securities: How to Trigger the “Tipping Point” , 2008 .

[10]  I. Lefkowitz,et al.  Multilevel Approach Applied to Control System Design , 1966 .

[11]  Leon S. Lasdon,et al.  Optimization Theory of Large Systems , 1970 .

[12]  Benoît Pelopidas,et al.  The Next Catastrophe Reducing Our Vulnerabilities to Natural, Industrial and Terrorist Disasters , 2012 .

[13]  Yacov Y Haimes,et al.  On the Complex Definition of Risk: A Systems‐Based Approach , 2009, Risk analysis : an official publication of the Society for Risk Analysis.

[14]  A. D. Hall,et al.  Metasystems methodology : a new synthesis and unification , 1989 .

[15]  Erwann O. Michel-Kerjan Toward a New Risk Architecture: The Question of Catastrophe Risk Calculus , 2008 .

[16]  Mark W. Maier,et al.  Architecting Principles for Systems‐of‐Systems , 1996 .

[17]  Yacov Y. Haimes,et al.  Hierarchical Multiobjective Analysis of Large-Scale Systems , 1990 .

[18]  Madan Singh System and control encyclopedia: theory, technology, applications , 1986 .

[19]  Yacov Y. Haimes,et al.  On the Complex Quantification of Risk: Systems‐Based Perspective on Terrorism , 2011, Risk analysis : an official publication of the Society for Risk Analysis.

[20]  Mihajlo D. Mesarovic,et al.  Systems Theory and Biology , 1968 .

[21]  Yacov Y. Haimes,et al.  Hierarchical Holographic Modeling , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[22]  Kailash C. Kapur Risk Modeling, Assessment, and Management, 3rd edition , 2010 .

[23]  M. Jamshidi Large-Scale Systems: Modeling, Control and Fuzzy Logic , 1996 .

[24]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[25]  Yacov Y. Haimes,et al.  Hierarchical analyses of water resources systems : modeling and optimization of large-scale systems , 1977 .

[26]  A. F. Konar Methodology for Large-Scale Process Control System Design , 1987 .

[27]  B J Garrick,et al.  Fitting Hierarchical Holographic Modeling into the Theory of Scenario Structuring and a Resulting Refinement to the Quantitative Definition of Risk , 2001, Risk analysis : an official publication of the Society for Risk Analysis.

[28]  Yacov Y Haimes,et al.  On the Definition of Vulnerabilities in Measuring Risks to Infrastructures , 2006, Risk analysis : an official publication of the Society for Risk Analysis.

[29]  Y. Haimes Modeling complex systems of systems with Phantom System Models , 2012, Syst. Eng..

[30]  Yacov Y. Haimes,et al.  Application of systems engineering and information models to optimize operation of gas export systems , 2008 .

[31]  James H. Lambert,et al.  Inoperability Input-Output Model for Interdependent Infrastructure Sectors. II: Case Studies , 2005 .

[32]  E. J. Bauman,et al.  Multilevel Optimization Techniques with Application to Trajectory Decomposition , 1968 .

[33]  George W. Housner Natural Disaster Reduction , 1997 .

[34]  M. Mesarovic,et al.  Theory of Hierarchical, Multilevel, Systems , 1970 .