Eiselt, H.A. and Bhadury, Joy and Burkey, Mark L. (2011): An optimizationbased framework for modeling counterterrorism strategies. Forthcoming in: OR Insight (2012)
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Abstract
The paper introduces the subject of terrorism and counterterrorism by means of a twoperson bimatrix game that provides some insight into the behavior of the two players. We then examine three important areas in counterterrorism tasks: the detection of terrorist cells and how to render them inoperable, the fortification of assets in order to protect them from terrorist attacks, and the optimal evacuation of people from an area affected by terrorism. Basic mathematical models are formulated and demonstrated. The paper concludes with some thoughts on potential extensions of the models presented here.
Item Type:  MPRA Paper 

Original Title:  An optimizationbased framework for modeling counterterrorism strategies 
Language:  English 
Keywords:  mathematical models; terrorism 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C70  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60  General 
Item ID:  36117 
Depositing User:  Mark L. Burkey 
Date Deposited:  21. Jan 2012 04:27 
Last Modified:  11. Feb 2013 23:41 
References:  Abrahms M (2008). What terrorists really want: terrorist motives and counterterrorism strategy. International Security 31/4: 78105. Artificial Intelligence Lab, The University of Arizona, http://ai.arizona.edu/research/terror/, last accessed on November 24, 2011 Bard JF (1999). Practical bilevel optimization: Algorithms and applications, SpringerVerlag. Barr D, Baker A (2001). Getting the message from “ecoterrorists:” mystery group takes its campaign east. New York Times, January 8, 2001: A15. Bier V, Oliveros S, Samuelson L (2007). Choosing what to protect: strategic defensive allocation against an unknown attacker. Journal of Public Economic Theory 9:563587. Bobeica M, Jéral JP, Garcia T, Best C (2008). A quantitative analysis of “root causes of conflict,” pp. 115139 in Chen HC, Reid E, Sinai J, Silke A, Ganor B (eds.) Terrorism informatics: knowledge management and data mining for homeland security, SpringerVerlag, New York. Carley K, Fridsma D, Casman E, Altman N, Chang J, Kaminsky B, Naves D, Yahja A (2003). BioWar: scalable multiagent social and epidemiological simulation of bioterrorism events. NAACSOS Conference 2003, Day 4, Electronic Publication, Pittsburgh, PA, IEEE SMCA03110274., http://www.casos.cs.cmu.edu/publications/papers/carley_2003_biowarscalablemulti.pdf, last accessed on November 24, 2011 Carley KM, Lee JS, Krackhardt D (2002). Destabilizing networks. Connections 24/3: 79–92. http://www.insna.org/PDF/Connections/v24/2001_I310.pdf, last accessed on November 24, 2011. Charters DA (2007) 9/11: Seven years into history. The Journal of Conflict Studies 27/2: 173187. Church RL, Scaparra MP (2007). Protecting critical assets: the rinterdiction median problem with fortification. Geographical Analysis 39, 129146. Church RL, Scaparra MP, Middleton RS (2004). Identifying critical infrastructure: the median and covering facility interdiction problems. Annals of the Association of American Geographers 94, 491502. Dempe S (2002). Foundations of bilevel programming, SpringerVerlag. de Silva FN, Eglese RW (2000). Integrating simulation modelling and GIS: spatial decision support systems for evacuation planning. The Journal of the Operational Research Society 51/4: 423430. Eiselt, H.A. (1985). A location problem with minimax objective. pp. 8599 in Noltemeier, H. (ed.), Proceedings of the WG ’85: International Workshop on Graphtheoretic Concepts in Computer Science, Universitätsverlag R. Trauner, Linz, West Germany. Eiselt HA (1986). Continuous maximin knapsack problems with GLB constraints. Mathematical Programming 36/1: 114121. Eiselt HA (1998). Perception and information in a competitive location model. European Journal of Operational Research 108/1: 94105. Eiselt HA, Sandblom CL (eds. & authors) (2004). Decision analysis, location models, and scheduling problems. SpringerVerlag, BerlinHeidelbergNew York. Farley JD (2003). Breaking Al Qaeda cells: a mathematical analysis of counterterrorism operations (a guide for risk assessment and decision making),” Studies in Conflict and Terrorism 26: 399411. Freeman L (1977). A set of measures of centrality based on betweenness. Sociometry 40: 3541. Frey, BS, Luechinger, S, Stutzer A (2007). Calculating tragedy: assessing the costs of terrorism. Journal of Economic Surveys 21/1: 124. Galvao RD, Marianov V (2011). Lagrangean relaxationbased techniques for solving facility location problems. pp. 391420 in Eiselt HA, Marianov V (eds) Foundations of location analysis. SpringerVerlag, New York. Ghosh A, Buchanan A (1988). Multiple outlets in a duopoly: a first entry paradox. Geographical Analysis 20/2: 111121. Gross O, Wagner R (1950). A continuous Colonel Blotto game. Research memorandum, The Rand Corporation RM408. Gutfraind A (2009). Understanding terrorist organizations with a dynamic model. Studies in Conflict and Terrorism 32/1: 4559. Hamacher H, Tjandra S (2002). Mathematical modeling of evacuation problems: a state of the art. pp 227266 in: Pedestrian and Evacuation Dynamics, Schreckenberg M, Sharma SD (eds). SpringerVerlag, Berlin. Hartnell B, Gunther G (2009). Security of underground resistance movements, pp. 185204 in: Memon N, Farley JD, Hicks DL, Rosenorn T (eds.) Mathematical methods in counterterrorism, SpringerVerlag, Vienna. Hoffman B (2006). Inside terrorism. Columbia University Press, New York, NY. Klerks P (2001). The network paradigm applied to criminal organisations: theoretical nitpicking or a relevant doctrine for investigators? Recent developments in The Netherlands. Connections 24/3: 53–65. Krebs VE (2002). Mapping networks of terrorist cells. Connections 24/3: 43–52. Krebs V (2008). Connecting the dots: connecting two identified terrorists. http://www.orgnet.com/tnet.html last accessed on November 24, 2011. List of designated terrorist organizations (2011). http://en.wikipedia.org/wiki/Terrorist_groups, last accessed November 24, 2011. Lu Q, Huang Y, Shekhar S (2003). Evacuation planning: a capacity constrained routing approach. Proceedings of the 1st NSF/NIJ conference on Intelligence and security informatics. SpringerVerlag Berlin, Heidelberg. Martello S, Toth P (1990). Knapsack problems: algorithms and computer implementations. WileyInterscience, Chichester. McGehee RW (1983). Deadly deceits: My 25 years in the CIA. Sheridan Square Publications, New York. Milgram S (1967). The small world problem. Psychology Today, May issue: 6067). Niskanen WA. (1968). The peculiar economics of bureaucracy. The American Economic Review 58(2): 293–305. Orgnet.com (2011). Social network analysis. A brief introduction. http://www.orgnet.com/sna.html, last accessed November 24, 2011. Osman MS, Ram B, Stanfield P, Davis L, Samanlioglu F, Bhadury J (2009). “Optimization models for distributed scheduling for disaster area logistics,” Proceedings of the IEEE International Conference on Service Operations, Logistics, and Informatics, Chicago, IL. Osman MS (2009). Evacuation route optimization models for lowrise building groups. Dissertation thesis at Department of Industrial and Systems Engineering, NC A&T State University, North Carolina. Perry RW, Lindell MK, Greene M (1981). Evacuation planning in emergency management. Lexington Books, Lexington, Mass. Pinker EJ (2009). A mathematical analysis of shortterm responses to threats of terrorism, pp. 141160 in: Memon N, Farley JD, Hicks DL, Rosenorn T (eds.) Mathematical methods in counterterrorism, SpringerVerlag, Vienna. Political Research Associates (2010). The roots of the leaderless resistance concept. http://www.publiceye.org/liberty/terrorism/insurgency/cells.html, last accessed on November 24, 2011. Rodriguez JA (2005) The March 11th Terrorist Network: in its weakness lies its strength. WP EPPLEA: 03, http://www.ub.edu/epp/wp/11m.PDF, last accessed on November 24, 2011? Posner RA (2008). Privacy, surveillance, and law. The University of Chicago Law Review 75/1: 245260. Rapoport D (2004). The four waves of modern terrorism. In Cronin A, Ludes J (eds) Attacking Terrorism. Georgetown University Press, Washington, DC, pp. 46–73. Rhodes CJ (2009). Inference approaches to constructing covert social network topologies, pp. 127140 in: Memon N, Farley JD, Hicks DL, Rosenorn T (eds.) Mathematical methods in counterterrorism, SpringerVerlag, Vienna. Sageman M (2004). Understanding terror networks. University of Pennsylvania Press, Philadelphia, PA. Sageman M (2008) Leaderless Jihad. University of Pennsylvania Press, Philadelphia, PA. Sandler R, Enders W (2004). An economic perspective on transnational terrorism. European Journal of Political Economy 20: 301316. Sherali HD, Carter TB, Hobeika AG (1991). A locationallocation model and algorithm for evacuation planning under hurricane/flood conditions. Transportation Research Part B: Methodological Volume 25/6: 439452. Silke A (2008). Research on terrorism: A review of the impact of 9/11 and the global war on terrorism, pp. 2750 in Chen HC, Reid E, Sinai J, Silke A, Ganor B (eds.) Terrorism informatics: knowledge management and data mining for homeland security, SpringerVerlag, New York. Skillicorn D (2009). Extracting knowledge from graph data in adversarial settings, pp. 33 – 54 in: Memon N, Farley JD, Hicks DL, Rosenorn T (eds.) Mathematical methods in counterterrorism, SpringerVerlag, Vienna. State Department (2011) http://www.state.gov/. last accessed November 24, 2011 The Age (2004). http://www.theage.com.au/articles/2004/08/27/1093518081060.html, last accessed on November 24, 2011. Transcript of Usama Bin Laden Video Tape, December 13, 2001 http://www.defense.gov/news/Dec2001/d20011213ubl.pdf, last accessed on November 29, 2011. Waeckerle JF (1991). Disaster planning and response. New England Journal of Medicine 324/12: 81521. Waldau N, Gattermann P, Knoflacher H, Schreckenberg M (eds) (2006). Pedestrian and evacuation dynamics ’05. SpringerVerlag, BerlinHeidelberg. Weinberg L, Eubank W (2010). An end to the fourth wave of Terrorism? Studies in Conflict & Terrorism 33/7: 594602 WordIQ (2010). http://www.wordiq.com/definition/Red_Army_Faction, last accessed November 24, 2011. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/36117 
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