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Multi-period max flow network interdiction with restructuring for disrupting domestic sex trafficking networks

Author

Listed:
  • Daniel Kosmas

    (Northeastern University)

  • Thomas C. Sharkey

    (Clemson University)

  • John E. Mitchell

    (Rensselaer Polytechnic Institute)

  • Kayse Lee Maass

    (Northeastern University)

  • Lauren Martin

    (University of Minnesota)

Abstract

We consider a new class of multi-period network interdiction problems, where interdiction and restructuring decisions are decided upon before the network is operated and implemented throughout the time horizon. We discuss how we apply this new problem to disrupting domestic sex trafficking networks, and introduce a variant where a second cooperating attacker has the ability to interdict victims and prevent the recruitment of prospective victims. This problem is modeled as a bilevel mixed integer linear program (BMILP), and is solved using column-and-constraint generation with partial information. We also simplify the BMILP when all interdictions are implemented before the network is operated. Modeling-based augmentations are proposed to significantly improve the solution time in a majority of instances tested. We apply our method to synthetic domestic sex trafficking networks, and discuss policy implications from our model. In particular, we show how preventing the recruitment of prospective victims may be as essential to disrupting sex trafficking as interdicting existing participants.

Suggested Citation

  • Daniel Kosmas & Thomas C. Sharkey & John E. Mitchell & Kayse Lee Maass & Lauren Martin, 2024. "Multi-period max flow network interdiction with restructuring for disrupting domestic sex trafficking networks," Annals of Operations Research, Springer, vol. 335(2), pages 797-860, April.
    • Handle: RePEc:spr:annopr:v:335:y:2024:i:2:d:10.1007_s10479-022-05087-3
    DOI: 10.1007/s10479-022-05087-3
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    References listed on IDEAS

    as
    1. Nail Orkun Baycik & Thomas C. Sharkey & Chase E. Rainwater, 2018. "Interdicting layered physical and information flow networks," IISE Transactions, Taylor & Francis Journals, vol. 50(4), pages 316-331, April.
    2. Smith, J. Cole & Song, Yongjia, 2020. "A survey of network interdiction models and algorithms," European Journal of Operational Research, Elsevier, vol. 283(3), pages 797-811.
    3. Tim Holzmann & J. Cole Smith, 2019. "Shortest path interdiction problem with arc improvement recourse: A multiobjective approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(3), pages 230-252, April.
    4. Ajay Malaviya & Chase Rainwater & Thomas Sharkey, 2012. "Multi-period network interdiction problems with applications to city-level drug enforcement," IISE Transactions, Taylor & Francis Journals, vol. 44(5), pages 368-380.
    5. Sreekumaran, Harikrishnan & Hota, Ashish R. & Liu, Andrew L. & Uhan, Nelson A. & Sundaram, Shreyas, 2021. "Equilibrium strategies for multiple interdictors on a common network," European Journal of Operational Research, Elsevier, vol. 288(2), pages 523-538.
    6. Konrad, Renata A. & Trapp, Andrew C. & Palmbach, Timothy M. & Blom, Jeffrey S., 2017. "Overcoming human trafficking via operations research and analytics: Opportunities for methods, models, and applications," European Journal of Operational Research, Elsevier, vol. 259(2), pages 733-745.
    7. Ronald Weitzer, 2014. "New Directions in Research on Human Trafficking," The ANNALS of the American Academy of Political and Social Science, , vol. 653(1), pages 6-24, May.
    8. Martin, Lauren & Lotspeich, Richard, 2014. "A benefit-cost framework for early intervention to prevent sex trading," Journal of Benefit-Cost Analysis, Cambridge University Press, vol. 5(1), pages 43-87, January.
    9. Jabarzare, Ziba & Zolfagharinia, Hossein & Najafi, Mehdi, 2020. "Dynamic interdiction networks with applications in illicit supply chains," Omega, Elsevier, vol. 96(C).
    10. Dajun Yue & Jiyao Gao & Bo Zeng & Fengqi You, 2019. "A projection-based reformulation and decomposition algorithm for global optimization of a class of mixed integer bilevel linear programs," Journal of Global Optimization, Springer, vol. 73(1), pages 27-57, January.
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