TECHNICAL PAPERS
Jun 15, 2011

Supply-Driven Dynamic Inoperability Input-Output Price Model for Interdependent Infrastructure Systems

Publication: Journal of Infrastructure Systems
Volume 17, Issue 4

Abstract

A supply driven dynamic input-output inoperability model (SDIIM), which extends the classical dynamic inoperability input-output model (DIIM), is described in this paper. The classical DIIM was developed to help understand the infrastructure interdependencies of deliberate external attacks or unfortunate natural disasters, such as terrorist attacks or earthquakes and flooding. However, classical DIIM is a demand-driven model. More supply driven sectors exist than demand-driven sectors in interdependent infrastructure systems, but value-added perturbation is the predominant feature in supply driven sectors for an interrupt event. Moreover, compared to classical DIIM, the value added by the proposed SDIIM can be controlled more easily than the final demand of a disruptive event because the final demand perturbation may be affected by the psychological effect on consumers. A supply driven input-output inoperability model (IIM) has also been proposed to complement the classical IIM. However, the supply driven IIM is a static model, and only equilibrium values can be determined. The SDIIM presented in this paper has been formulated to model the behavior of the value-added input perturbation up to equilibrium and to characterize the required sector adjustments for achieving new levels of output values. In addition, the interdependency resilience coefficient and the interdependency index are discussed by using the SDIIM. In this paper, the large-scale snow disaster that occurred in south China in 2008 is used as a case study, in which the SDIIM is used to analyze the inoperability and dynamic output values recovery of sectors caused by a value-added disturbance. The SDIIM is shown to effectively compute interdependent inoperability and economic losses, which can provide valuable insights into risk assessment and the management of interdependent infrastructure systems and sectors of the economy.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study was supported, in part, by the National Natural Science Foundation of China under Grant Nos. UNSPECIFIED2009B090300309 and UNSPECIFIED60903174 and also by the Fundamental Research Funds for the Central Universities under Grant Nos.UNSPECIFIED2010QN016 and UNSPECIFIED2010MS017. The authors are thankful for the reviewer’s comments and suggestions. The authors are also grateful for the contributions of Dr. Yongze Yan at the Huazhong University of Science and Technology, China, and Dr. Yangmin Ou at Rice University. The authors also very much appreciate the editorial assistance of Jessica Freeman.

References

Barker, Kash, and Haimes, Y. Y. (2009a). “Assessing uncertainty in extreme events: Applications to risk based decision making in interdependent infrastructure sectors.” Reliab. Eng. Syst. Saf., 94(4), 819–829.
Barker, Kash, and Haimes, Y. Y. (2009b). “Uncertainty analysis of interdependencies in dynamic infrastructure recovery: Applications in risk-based decision making.” J. Infrastruct. Syst., 15(4), 394–405.
Casalicchio, Emiliano, Galli, Emanuele, and Tucci, Salvatore (2009). “Modeling and simulation of complex interdependent systems: A federated agent-based approach.” Critical information infrastructure security, Vol. 5508, Springer, New York, 72–83.
Crowther, K. G., and Haimes, Y. Y. (2010). “Development of the multiregional inoperability input-output model (MRIIM) for spatial explicitness in preparedness of interdependent regions.” Syst. Eng., 13(1), 28–46.
Crowther, K. G., Haimes, Y. Y., and Taub, G. (2007). “Systemic valuation of strategic preparedness with illustrations from Hurricane Katrina.” Risk Anal., 27(5), 1345–1364.
Davar, E. (1993). “Price discrimination in input-output.” Econ. Syst. Res., 5(1), 3–10.
Dudenhoeffer, D. D., Permann, M. R., and Manic, M. (2006). “CIMS: A framework for infrastructure interdependency modeling and analysis [C].” Proc., 2006 Winter Simulation Conf., Society for Computer Simulation International (SCS), San Diego.
Duenas-Osorio, Leonardo, and Srivishnu, Mohan Vemuru (2009). “Cascading failures in complex infrastructure systems.” Struct. Saf., 31(2), 157–167.
Ghosh, A. (1958). “ Input-output approach to an allocative system.” Economica, 25(97), 58–64.
Haimes, Y. Y. (2004). Risk modeling, assessment, and management, 2nd Ed., Wiley, New York.
Haimes, Y. Y., Horowitz, B. R., Lambert, J. H., Santos, J. R., Lian, C., and Crowther, K. G. (2005a). “Inoperability input-output model (IIM) for interdependent infrastructure sectors. I: Theory and methodology.” J. Infrastruct. Syst., 11(2), 67–79.
Haimes, Y. Y., Horowitz, B. R., Lambert, J. H., Santos, J. R., Crowther, K. G., and Lian, C. (2005b). “Inoperability input-output model (IIM) for interdependent infrastructure sectors. II: Case study.” J. Infrastruct. Syst., 11(2), 80–92.
Haimes, Y. Y., and Jiang, P. (2001). “Leontief-based model of risk in complex interconnected infrastructures.” J. Infrastruct. Syst., 7(1), 1–12.
Jiang, P. (2003). “Input-output inoperability risk model and beyond: A holistic approach.” Ph.D. dissertation, Systems and Information Engineering Dept., Univ. of Virginia, Charlottesville, VA.
Jiang, P., and Haimes, Y. Y. (2004). “Risk management for Leontief based interdependent systems.” Risk Anal., 24(5), 1215–1229.
Jung, Jeesang, Santos, J. R., and Haimes, Y. Y. (2009). “International trade inoperability input-output model (IT-IIM): Theory and application.” Risk Anal., 29(1), 137–154.
Leontief, W. W. (1966). Input-output economics, Oxford University Press, New York.
Leung, Maria, Haimes, Yacov Y., and Santos, J. R. (2007). “Supply- and output-side extensions to the inoperability input-output model for interdependent infrastructures.” J. Infrastruct. Syst., 13(4), 299–310.
Lian, C., and Haimes, Y. Y. (2006). “Managing the risk of terrorism to interdependent infrastructure systems through the dynamic inoperability input-output model.” J. Syst. Eng., 9(3), 241–258.
Lian, C., and Haimes, Y. Y. (2007). “Extreme risk analysis of interdependent economic and infrastructure sectors.” Risk Anal., 27(4), 1053–1064.
Ming, Xia (2006). Input-output analysis and economic structural change, China Economic Publishing House Press, P. R. China (in Chinese).
Oliva, Gabriele, Panzieri, Stefano, and Setola, Roberto (2010). “Agent-based input-output interdependency model.” Int. J. Crit. Infrastruct. Protect., 3(2), 76–82.
Ouyang, Min, Yu, Ming-Hui, Huang, Xiang-Zhao, and Luan, En-Jie (2008). “Emergency response to disaster-struck scale-free network with redundant systems.” Physica A (Amsterdam), 387(18), 4683–4691.
Rinaldi, S., Peerenboom, J., and Kelly, T. (2001). “Identifying, understanding, and analyzing critical infrastructure interdependencies.” Control Systems, 21(6), 11–25.
Santos, J. R. (2003). “Interdependency analysis: Extensions to demand reduction inoperability input-output model and portfolio selection.” Ph.D. dissertation, Systems and Information Engineering Dept., Univ. of Virginia, Charlottesville, VA.
Santos, J. R. (2006). “Inoperability input-output modeling of disruptions to interdependent economic systems.” Syst. Eng., 9(1), 20–34.
Santos, J. R., and Haimes, Y. Y. (2004). “Modeling the demand reduction input-output (I-O) inoperability due to terrorism of interconnected infrastructures.” Risk Anal., 24(6), 1437–1451.
Santos, J. R., Haimes, Y. Y., and Lian, C. (2007). “A framework for linking cyber security metrics to the modeling of macroeconomic interdependencies.” Risk Anal., 27(5), 1283–1297.
Santos, J. R., Orsi, Mark J., and Bond, Erik J. (2009). “Pandemic recovery analysis using the dynamic inoperability input-output model.” Risk Anal., 29(12), 1743–1758.
Winkler, James, Duenas-Osorio, Leonardo, Stein, Robert, and Subramanian, Devika (2010). “Performance assessment of topologically diverse power systems subject to hurricane events.” Reliab. Eng. Syst. Saf., 95(2010), 323–336.
Ya-ping, Sun (2009). “The analysis of influence and reason and counter plan of snowstorm in south of China.” Territory Nat. Resour. Study, 2, 72–73.
Zaghini, E. (1971). “Solow prices and the dual stability paradox in the Leontief dynamic system.” Econometrica, 39(3), 625–632.

Information & Authors

Information

Published In

Go to Journal of Infrastructure Systems
Journal of Infrastructure Systems
Volume 17Issue 4December 2011
Pages: 151 - 162

History

Received: Jul 15, 2010
Accepted: Apr 7, 2011
Published online: Jun 15, 2011
Published in print: Dec 1, 2011

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Institute of System Engineering, Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, HB, China; and, Information Engineering Dept., Wuhan Univ. of Technology Huaxia College, Wuhan, Hubei 430223, HB, China. E-mail: [email protected]
Assistant Professor, Institute of System Engineering, Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, HB, China (corresponding author). E-mail: [email protected]
Assistant Professor, Dept. of Computer Science, Univ. of Warwick, UK. E-mail: [email protected]
Shuliang Wang [email protected]
Ph.D. Candidate, Institute of System Engineering, Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, HB, China. E-mail: [email protected]
Xueguang Chen [email protected]
Professor, Institute of System Engineering, Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, HB, China. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share