Technical Papers
May 24, 2013

Multiobjective Stochastic Inoperability Decision Tree for Infrastructure Preparedness

Publication: Journal of Infrastructure Systems
Volume 20, Issue 2

Abstract

Decision making for managing risks to critical infrastructure systems requires accounting for (1) the uncertain behavior of disruptive events; and (2) the interdependent nature of such systems that lead to large-scale inoperability. This paper integrates a dynamic risk-based interdependency model, the dynamic inoperability input-output model, with a multiobjective decision tree to analyze preparedness decisions. The use of a dynamic model allows for resilience and recovery decisions to be incorporated in the decision-making framework, and uncertainty is accounted for using probability distributions. The multiobjective inoperability decision tree is applied to the study of transportation infrastructure disruptions, namely closures of an inland waterway and an inland waterway port. A data-driven multiregional study of the Port of Catoosa in Oklahoma, along the Mississippi River Navigation System, is discussed and suggests careful consideration when investing larger amounts toward port security.

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Acknowledgments

The authors wish to acknowledge the assistance of Dr. Cameron MacKenzie, Assistant Professor with the Naval Postgraduate School, and Dr. Raghav Pant, Infrastructure Network Analyst with the University of Oxford. This work was supported in part by the U.S. Federal Highway Administration, under awards SAFTEA-LU 1934 and SAFTEA-LU 1702, and the National Science Foundation, Division of Civil, Mechanical, and Manufacturing Innovation, under award 0927299. Further, the suggestions of the reviewers significantly improved this paper.

References

Anderson, C. W., Santos, J. R., and Haimes, Y. Y. (2007). “A risk-based input-output methodology for measuring the effects of the August 2003 Northeast blackout.” Econ. Syst. Res., 19(2), 183–204.
Asbeck, E., and Haimes, Y. Y. (1984). “The partitioned multiobjective risk method.” Large Scale Syst., 6(1), 13–38.
Barker, K., and Rocco S., C. M. (2011). “Evaluating uncertainty in risk-based interdependency modeling with interval arithmetic.” Econ. Syst. Res., 23(2), 213–232.
Barker, K., and Santos, J. R. (2010a). “Measuring the efficacy of inventory with a dynamic input-output model.” Int. J. Prod. Econ., 126(1), 130–143.
Barker, K., and Santos, J. R. (2010b). “A risk-based approach for identifying key economic and infrastructure sectors.” Risk Anal., 30(6), 962–974.
Barker, K., and Wilson, K. J. (2012). “Decision trees with single and multiple interval-valued objectives.” Decis. Anal., 9(4), 348–358.
Bun, M. (2006). “A mathematical model of the risk of nuclear terrorism.” Ann. Am. Acad. Polit. Soc. Sci., 607(1), 103–120.
Bureau of Economic Analysis (BEA). (2010). “Interactive access to input-output accounts data.” 〈http://www.bea.gov.in〉 (Apr. 25, 2012).
Bureau of Transportation Statistics. (2009). “2007 commodity flow survey: CF0700A10: Shipment characteristics by commodity by shipment weight by distance shipped for the U.S.” Research and Innovative Technology Administration, 〈http://www.bts.gov/publications/commodityflowsurvey/〉 (Apr. 25, 2012).
Chankong, V., and Haimes, Y. Y. (2008). Multiobjective decision making: Theory and methodology, Dover Publications, Mineola, NY.
Clauset, A., and Gleditsch, K. S. (2012). “The developmental dynamics of terrorist organizations.” PLOS ONE, 7(11), e48633.
Clauset, A., Shalizi, C. R., and Newman, M. E. J. (2009). “Power-law distributions in empirical data.” SIAM Rev., 51(4), 661–703.
Clauset, A., and Wiegel, F. W. (2009). “A generalized aggregation-disintegration model for the frequency of severe terrorist attacks.” J. Conflict Resolut., 54(1), 179–197.
Clauset, A., Young, M., and Gleditsch, K. S. (2007). “On the frequency of severe terrorist events.” J. Conflict Resolut., 51(1), 58–87.
Dept. of Homeland Security (DHS). (2009). National infrastructure protection plan: Partnering to enhance protection and resiliency, U.S. Dept. of Homeland Security, Washington, DC.
Dept. of Homeland Security (DHS). (2011). National preparedness goal, U.S. Dept. of Homeland Security, Washington, DC.
Dept. of Homeland Security (DHS). (2012). “FY 2012 preparedness grant program overview.” U.S. Dept. of Homeland Security, Washington, DC.
Dessai, S., and Walter, M. (2000). “Self-organized criticality and the atmospheric sciences: Selected review, new findings and future direction.” Contributed to XE: Extreme Events: Developing a Research Agenda for the 21st Century 〈http://www.isse.ucar.edu/extremes/〉.
Dicdican, R. Y., and Haimes, Y. Y. (2005). “Relating multiobjective decision trees to the multiobjective risk impact analysis method.” Syst. Eng., 8(2), 95–108.
Gordon, P., Moore, J. E., Richardson, H. W., Shinozuka, M., Donghwan, A., and Cho, S. (2004). “Earthquake disaster mitigation for urban transportation systems: An integrated methodology that builds on the Kobe and Northridge experiences.” Modeling spatial and economic impacts of disasters, Y. Okuyama and S. E. Chang, eds., Springer-Verlag, Berlin, 205–232.
Government Accountability Office. (2011). “Surface freight transportation: A comparison of the costs of road, rail, and waterways freight shipments that are not passed on to consumers.” GAO-11-134, U.S. Government Accountability Office, Washington, DC.
Haimes, Y. Y., Li, D., and Tulsiani, V. (1990). “Multiobjective decision tree method.” Risk Anal., 10(1), 111–129.
Ham, H., Kim, T. J., and Boyce, D. (2005a). “Assessment of economic impacts from unexpected events with an interregional commodity flow and multimodal transportation network model.” Transp. Res. Part A, 39(10), 849–860.
Ham, H., Kim, T. J., and Boyce, D. (2005b). “Implementation and estimation of a combined model of interregional, multimodal commodity shipments and transportation network flows.” Transp. Res. Part B, 39(1), 65–79.
Haveman, J. D., and Howard, S. eds. (2006). Protecting the nation’s seaports: Balancing security and cost, Public Policy Institute of California, San Francisco, CA.
Henry, D., and Ramirez-Marquez, J. E. (2012). “Generic metrics and quantitative approaches for system resilience as a function of time.” Reliab. Eng. Syst. Saf., 99(1), 114–122.
Hespos, R. F., and Strassman, P. A. (1965). “Stochastic decision trees for the analysis of investment decisions.” Manage. Sci., 11(10), 244–259.
Johnson, N. F., et al. (2006). “Universal patterns underlying ongoing wars and terrorism.” 〈arXiv: physics/06050305v.1〉 (Apr. 4, 2012).
Jung, J., Santos, J. R., and Haimes, Y. Y. (2009). “International trade inoperability input–output model (IT-IIM).” Risk Anal., 29(1), 137–154.
Leontief, W. W. (1966). Input-output economics, Oxford University Press, New York.
Lian, C., and Haimes, Y. Y. (2006). “Managing the risk of terrorism to interdependent infrastructure systems through the dynamic inoperability input-output model.” Syst. Eng., 9(3), 241–258.
MacKenzie, C., Barker, K., and Grant, F. H. (2012a). “Evaluating the consequences of an inland waterway port closure with a dynamic multiregional interdependency model.” IEEE Trans. Syst. Man Cybern. Part A, 42(2), 359–370.
MacKenzie, C. A., and Barker, K. (2012). “Empirical data and regression analysis for estimation of infrastructure resilience, with application to electric power outages.” J. Infrastruct. Syst., 25–35.
MacKenzie, C. A., Baroud, H., and Barker, K. (2012b). “Optimal resource allocation for recovery of interdependent systems: case study of the deepwater horizon oil spill.” Proc., 2012 Industrial and Systems Engineering Research Conf. (CD-ROM), G. Lim and J. W. Hermann, eds.
MacKenzie, C. A., Santos, J. R., and Barker, K. (2012c). “Measuring international production losses from a disruption: case study of the Japanese earthquake and tsunami.” Int. J. Prod. Econ., 138(2), 293–302.
Malamud, B. D., and Turcotte, D. L. (2012). “Statistics of severe tornadoes and severe tornado outbreaks.” Atmos. Chem. Phys. Discuss., 12, 6957–6988.
Mega, M. S., et al. (2003). “Power-law time distribution of large earthquakes.” Phys. Rev. Lett., 90, 188501.
National Cooperative Freight Research Program. (2010). “Research results digest, subject areas: IV operations and safety, VII Rail, VIII freight transportation, IX marine transportation.” 〈http://onlinepubs.trb.org/onlinepubs/ncfrp/ncfrp_rrd_002.pdf〉 (Apr. 25, 2012).
Oliva, G., Panzieri, S., and Setola, R. (2011). “Fuzzy dynamic input–output inoperability model.” Int. J. Crit. Infrastruct. Prot., 4(3–4), 165–175.
Organization for Economic Co-Operation and Development. (2011). “OECD. StatsExtrats.” 〈http://stats.oecd.org/Index.aspx〉 (Apr. 25, 2012).
Orsi, M. J., and Santos, J. R. (2010). “Incorporating time-varying perturbations into the dynamic inoperability input-output model.” IEEE Trans. Syst. Man Cybern. Part A, 40(1), 100–106.
Pant, R., Barker, K., Grant, F. H., and Landers, T. L. (2011). “Interdependent impacts of inoperability at multi-modal transportation container terminals.” Transp. Res. E: Logist. Transp. Rev., 47(5), 722–737.
Park, J. Y. (2008). “The economic impacts of dirty bomb attacks on the Los Angeles and Long Beach ports: Applying the supply-driven NIEMO (National Interstate Economic Model).” J. Homeland Security Emerg. Manage., 5(1).
Raiffa, H. (1968). Decision analysis, Addison-Wesley, Reading, MA.
Richardson, L. F. (1948). “Variation of the frequency of fatal quarrels with magnitude.” J. Am. Stat. Assoc., 43(244), 523–546.
Rosoff, H., and von Winterfeldt, D. (2007). “A risk and economic analysis of dirty bomb attacks on the ports of Los Angeles and Long Beach.” Risk Anal., 27(3), 533–546.
Santos, J. R. (2006). “Inoperability input-output modeling of disruptions to interdependent economic systems.” Syst. Eng., 9(1), 20–34.
Santos, J. R. (2008). “Interdependency analysis with multiple probabilistic sector inputs.” J. Ind. Manage. Optim., 4(3), 489–510.
Santos, J. R., Barker, K., and Zelinke, P. J., IV.(2008). “Sequential decision-making in interdependent sectors with multiobjective inoperability decision trees: Application to biofuel subsidy analysis.” Econ. Syst. Res., 20(1), 29–56.
Santos, J. R., and Haimes, Y. Y. (2004a). “Applying the partitioned multiobjective risk method (PMRM) to portfolio selection.” Risk Anal., 24(3), 697–713.
Santos, J. R., and Haimes, Y. Y. (2004b). “Modeling the demand reduction input-output (I-O) inoperability due to terrorism of interconnected infrastructures.” Risk Anal., 24(6), 1437–1451.
Setola, R., and De Porcellinis, S. (2008). “A methodology to estimate input-output inoperability model parameters.” Crit. Inf. Infrastruct. Secur., 5141, 149–160.
Sohn, J., Hewings, G. J. D., Kim, T. J., Lee, J. S., and Jang, S. G . (2004). “Analysis of economic impacts of an earthquake on transportation network.” Modeling spatial and economic impacts of disasters, Y. Okuyama and S. E. Chang, eds., Springer-Verlag, Berlin, 233–256.
Tulsa Port of Catoosa. (2009). “Tonnage comparison: 2007–2008.” 〈http://www.tulsaport.com/aboutourwaterway.html〉 (May 21, 2010).
U.S. Army Corps of Engineers. (2010). Waterborne commerce of the United States: Calendar year 2009, U.S. Army Corps of Engineers Waterborne Commerce Statistics Center, New Orleans.
U.S. Dept. of Transportation. (2009). Freight facts and figures 2009, Federal Highway Administration, Office of Freight Management and Operations, Washington, DC.
U.S. Dept. of Transportation. (2011). America’s marine highway, U.S. Department of Transportation, Maritime Administration, Washington, DC.
Zobel, C. W. (2011). “Representing perceived tradeoffs in defining disaster resilience.” Decis. Support Syst., 50(2), 394–403.

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Go to Journal of Infrastructure Systems
Journal of Infrastructure Systems
Volume 20Issue 2June 2014

History

Received: Aug 30, 2012
Accepted: May 22, 2013
Published online: May 24, 2013
Discussion open until: May 26, 2014
Published in print: Jun 1, 2014

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Authors

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Hiba Baroud
Ph.D. Student, School of Industrial and Systems Engineering, Univ. of Oklahoma, Norman, OK 73019.
Kash Barker, Ph.D. [email protected]
Assistant Professor, School of Industrial and Systems Engineering, Univ. of Oklahoma, 202 W. Boyd St., Room 124, Norman, OK 73019 (corresponding author). E-mail: [email protected]
F. Hank Grant, Ph.D.
Dugan Professor, School of Industrial and Systems Engineering, Univ. of Oklahoma, Norman, OK 73019.

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