The network inhibition problem
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Defending Critical Infrastructure
Interfaces
Solving the Bi-Objective Maximum-Flow Network-Interdiction Problem
INFORMS Journal on Computing
Maximum dynamic network flow interdiction problem: New formulation and solution procedures
Computers and Industrial Engineering
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We present a novel dynamic network interdiction model that accounts for interactions between an interdictor deploying resources on arcs in a digraph and an evader traversing the network from a designated source to a known terminus, wherein the agents may modify strategies in selected subsequent periods according to respective decision and implementation cycles. For the resulting minimax model, we develop a reformulation that facilitates a direct solution procedure using commercial software or via a proposed alternating heuristic. We examine certain related stability and convergence issues, demonstrate special convergence cases, and provide insights into the computational performance of the solution procedures.