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Securing a border under asymmetric information
Authors:Kelly M Sullivan  David P Morton  Feng Pan  J Cole Smith
Institution:1. Department of Industrial and Systems Engineering, University of Florida, Gainesville, Florida;2. Graduate Program in Operations Research and Industrial Engineering, The University of Texas at Austin, Austin, Texas;3. D‐6, Risk Analysis and Decision Support Systems, Los Alamos National Laboratory, Los Alamos, New Mexico
Abstract:We study a stochastic interdiction model of Morton et al. IIE Transactions, 39 (2007):3–14 that locates radiation sensors at border crossings to detect and prevent the smuggling of nuclear material. In this model, an interdictor places sensors at customs checkpoints to minimize a potential smuggler's maximum probability of crossing a border undetected. We focus on a model variant in which the interdictor has different, and likely more accurate, perceptions of the system's parameters than the smuggler does. We introduce a model that is tighter and uses fewer constraints than that of Morton et al. We also develop a class of valid inequalities along with a corresponding separation procedure that can be used within a cutting‐plane approach to reduce computational effort. Computational results demonstrate the effectiveness of our approach.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 91–100, 2014
Keywords:network interdiction  cutting planes  asymmetric information
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