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Optimizing dynamic investment decisions for railway systems protection

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  • Starita, Stefano
  • Scaparra, Maria Paola

Abstract

Past and recent events have shown that railway infrastructure systems are particularly vulnerable to natural catastrophes, unintentional accidents and terrorist attacks. Protection investments are instrumental in reducing economic losses and preserving public safety. A systematic approach to plan security investments is paramount to guarantee that limited protection resources are utilized in the most efficient manner. In this paper, we present an optimization model to identify the railway assets which should be protected to minimize the impact of worst case disruptions on passenger flows. We consider a dynamic investment problem where protection resources become available over a planning horizon. The problem is formulated as a bilevel mixed-integer model and solved using two different decomposition approaches. Random instances of different sizes are generated to compare the solution algorithms. The model is then tested on the Kent railway network to demonstrate how the results can be used to support efficient protection decisions.

Suggested Citation

  • Starita, Stefano & Scaparra, Maria Paola, 2016. "Optimizing dynamic investment decisions for railway systems protection," European Journal of Operational Research, Elsevier, vol. 248(2), pages 543-557.
  • Handle: RePEc:eee:ejores:v:248:y:2016:i:2:p:543-557
    DOI: 10.1016/j.ejor.2015.07.025
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    as
    1. Kelly J. Cormican & David P. Morton & R. Kevin Wood, 1998. "Stochastic Network Interdiction," Operations Research, INFORMS, vol. 46(2), pages 184-197, April.
    2. Bricha, Naji & Nourelfath, Mustapha, 2015. "Protection of warehouses and plants under capacity constraint," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 93-104.
    3. Alan Murray & Timothy Matisziw & Tony Grubesic, 2007. "Critical network infrastructure analysis: interdiction and system flow," Journal of Geographical Systems, Springer, vol. 9(2), pages 103-117, June.
    4. Perea, Federico & Puerto, Justo, 2013. "Revisiting a game theoretic framework for the robust railway network design against intentional attacks," European Journal of Operational Research, Elsevier, vol. 226(2), pages 286-292.
    5. Talarico, Luca & Reniers, Genserik & Sörensen, Kenneth & Springael, Johan, 2015. "MISTRAL: A game-theoretical model to allocate security measures in a multi-modal chemical transportation network with adaptive adversaries," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 105-114.
    6. G Levitin & K Hausken, 2013. "Defence resource distribution between protection and decoys for constant resource stockpiling pace," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(9), pages 1409-1417, September.
    7. Scaparra, Maria P. & Church, Richard L., 2008. "An exact solution approach for the interdiction median problem with fortification," European Journal of Operational Research, Elsevier, vol. 189(1), pages 76-92, August.
    8. Paola Cappanera & Maria Paola Scaparra, 2011. "Optimal Allocation of Protective Resources in Shortest-Path Networks," Transportation Science, INFORMS, vol. 45(1), pages 64-80, February.
    9. Liberatore, Federico & Scaparra, Maria P. & Daskin, Mark S., 2012. "Hedging against disruptions with ripple effects in location analysis," Omega, Elsevier, vol. 40(1), pages 21-30, January.
    10. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray & Diane Snediker, 2008. "Comparative Approaches for Assessing Network Vulnerability," International Regional Science Review, , vol. 31(1), pages 88-112, January.
    11. Myung, Young-Soo & Kim, Hyun-joon, 2004. "A cutting plane algorithm for computing k-edge survivability of a network," European Journal of Operational Research, Elsevier, vol. 156(3), pages 579-589, August.
    12. Chaya Losada & M. Scaparra & Richard Church & Mark Daskin, 2012. "The stochastic interdiction median problem with disruption intensity levels," Annals of Operations Research, Springer, vol. 201(1), pages 345-365, December.
    13. Gregory Levitin & Kjell Hausken, 2012. "Resource Distribution in Multiple Attacks with Imperfect Detection of the Attack Outcome," Risk Analysis, John Wiley & Sons, vol. 32(2), pages 304-318, February.
    14. Gregory Levitin & Kjell Hausken, 2010. "Resource Distribution in Multiple Attacks Against a Single Target," Risk Analysis, John Wiley & Sons, vol. 30(8), pages 1231-1239, August.
    15. F. Parvaresh & S. Hashemi Golpayegany & S. Moattar Husseini & B. Karimi, 2013. "Solving the p-hub Median Problem Under Intentional Disruptions Using Simulated Annealing," Networks and Spatial Economics, Springer, vol. 13(4), pages 445-470, December.
    16. Lili Du & Srinivas Peeta, 2014. "A Stochastic Optimization Model to Reduce Expected Post-Disaster Response Time Through Pre-Disaster Investment Decisions," Networks and Spatial Economics, Springer, vol. 14(2), pages 271-295, June.
    17. Levitin, Gregory & Hausken, Kjell, 2009. "Parallel systems under two sequential attacks," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 763-772.
    18. Johannes O. Royset & R. Kevin Wood, 2007. "Solving the Bi-Objective Maximum-Flow Network-Interdiction Problem," INFORMS Journal on Computing, INFORMS, vol. 19(2), pages 175-184, May.
    19. Yates, Justin & Sanjeevi, Sujeevraja, 2013. "A length-based, multiple-resource formulation for shortest path network interdiction problems in the transportation sector," International Journal of Critical Infrastructure Protection, Elsevier, vol. 6(2), pages 107-119.
    20. Laporte, Gilbert & Mesa, Juan A. & Perea, Federico, 2010. "A game theoretic framework for the robust railway transit network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(4), pages 447-459, May.
    21. Richard Wollmer, 1964. "Removing Arcs from a Network," Operations Research, INFORMS, vol. 12(6), pages 934-940, December.
    22. Kjell Hausken & Jun Zhuang, 2011. "Defending Against a Stockpiling Terrorist," The Engineering Economist, Taylor & Francis Journals, vol. 56(4), pages 321-353.
    23. Gerald Brown & Matthew Carlyle & Javier Salmerón & Kevin Wood, 2006. "Defending Critical Infrastructure," Interfaces, INFORMS, vol. 36(6), pages 530-544, December.
    24. G Levitin & K Hausken, 2012. "Parallel systems under two sequential attacks with imperfect detection of the first attack outcome," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1545-1555, November.
    25. Losada, Chaya & Scaparra, M. Paola & O’Hanley, Jesse R., 2012. "Optimizing system resilience: A facility protection model with recovery time," European Journal of Operational Research, Elsevier, vol. 217(3), pages 519-530.
    26. Kjell Hausken & Jun Zhuang, 2011. "Governments' and Terrorists' Defense and Attack in a T -Period Game," Decision Analysis, INFORMS, vol. 8(1), pages 46-70, March.
    27. O'Hanley, Jesse R. & Church, Richard L., 2011. "Designing robust coverage networks to hedge against worst-case facility losses," European Journal of Operational Research, Elsevier, vol. 209(1), pages 23-36, February.
    28. K Hausken & J Zhuang, 2012. "The timing and deterrence of terrorist attacks due to exogenous dynamics," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(6), pages 726-735, June.
    29. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    30. Steven K. Peterson & Richard L. Church, 2008. "A Framework for Modeling Rail Transport Vulnerability," Growth and Change, Wiley Blackwell, vol. 39(4), pages 617-641, December.
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    Cited by:

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    3. Sarhadi, Hassan & Tulett, David M. & Verma, Manish, 2017. "An analytical approach to the protection planning of a rail intermodal terminal network," European Journal of Operational Research, Elsevier, vol. 257(2), pages 511-525.
    4. Jabarzare, Ziba & Zolfagharinia, Hossein & Najafi, Mehdi, 2020. "Dynamic interdiction networks with applications in illicit supply chains," Omega, Elsevier, vol. 96(C).
    5. Stefano Starita & M. Paola Scaparra & Jesse R. O’Hanley, 2017. "A dynamic model for road protection against flooding," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(1), pages 74-88, January.
    6. Karakose, Gokhan & McGarvey, Ronald G., 2018. "Capacitated path-aggregation constraint model for arc disruption in networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 225-238.
    7. Mingming Zheng & Hanzhang Zuo & Zitong Zhou & Yuhan Bai, 2023. "Recovery Strategies for Urban Rail Transit Network Based on Comprehensive Resilience," Sustainability, MDPI, vol. 15(20), pages 1-17, October.
    8. Girish Ch. Dey & Mamata Jenamani, 2019. "Optimizing fortification plan of capacitated facilities with maximum distance limits," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 151-173, March.
    9. Ouyang, Min & Liu, Chuang & Wu, Shengyu, 2020. "Worst-case vulnerability assessment and mitigation model of urban utility tunnels," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    10. Lei Wang & Qing Liu & Tongle Yin, 2018. "Decision-making of investment in navigation safety improving schemes with application of cumulative prospect theory," Journal of Risk and Reliability, , vol. 232(6), pages 710-724, December.
    11. Yaghlane, Asma Ben & Azaiez, M. Naceur & Mrad, Mehdi, 2019. "System survivability in the context of interdiction networks," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 362-371.
    12. Leitner, Markus & Ljubić, Ivana & Monaci, Michele & Sinnl, Markus & Tanınmış, Kübra, 2023. "An exact method for binary fortification games," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1026-1039.
    13. Jiang, J. & Liu, X., 2018. "Multi-objective Stackelberg game model for water supply networks against interdictions with incomplete information," European Journal of Operational Research, Elsevier, vol. 266(3), pages 920-933.
    14. Musegaas, Marieke & Schlicher, Loe & Blok, Herman, 2022. "Stackelberg production-protection games: Defending crop production against intentional attacks," European Journal of Operational Research, Elsevier, vol. 297(1), pages 102-119.
    15. Ben Yaghlane, Asma & Azaiez, M. Naceur, 2017. "Systems under attack-survivability rather than reliability: Concept, results, and applications," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1156-1164.

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