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We consider a new class of multi-period network interdiction problems, whereinterdiction and restructuring decisions are decided upon before the network isoperated and implemented throughout the time horizon. We discuss how we applythis new problem to disrupting domestic sex trafficking networks, and introducea variant where a second cooperating attacker has the ability to interdictvictims and prevent the recruitment of prospective victims. This problem ismodeled as a bilevel mixed integer linear program (BMILP), and is solved usingcolumn-and-constraint generation with partial information. We also simplify theBMILP when all interdictions are implemented before the network is operated.Modeling-based augmentations are proposed to significantly improve the solutiontime in a majority of instances tested. We apply our method to syntheticdomestic sex trafficking networks, and discuss policy implications from ourmodel. In particular, we show how preventing the recruitment of prospectivevictims may be as essential to disrupting sex trafficking as interdictingexisting participants.

Multi-Period Max Flow Network Interdiction with Restructuring for Disrupting Domestic Sex Trafficking Networks