Stop Nuclear Smuggling Through Efficient Container Inspection

Since 2003, the U.S. government has spent $850 million on the Megaport Initiative which aims at stopping the nuclear smuggling in international container shipping through advanced inspection facilities including Non-Intrusive Inspection (NII) and Mobile Radiation Detection and Identification System (MRDIS). Unfortunately, it remains a significant challenge to efficiently inspect more than 11.7 million containers imported to the U.S. due to the limited inspection resources. Moreover, existing work in container inspection neglects the sophisticated behavior of the smuggler who can surveil the inspector's strategy and decide the optimal (sequential) smuggling plan. This paper is the first to tackle this challenging container inspection problem, where a novel Container Inspection Model (CIM) is proposed, which models the interaction between the inspector and the smuggler as a leader-follower Stackelberg game and formulates the smuggler's sequential decision behavior as a Markov Decision Process (MDP). The special structure of the CIM results in a non-convex optimization problem, which cannot be addressed by existing approaches. We make several key contributions including: i) a linear relaxation approximation with guarantee of solution quality which reformulates the model as a bilinear optimization problem, ii) an algorithm inspired by the Multipleparametric Disaggregation Technique (MDT) to solve the reformulated bilinear optimization, and iii) a novel iterative algorithm to further improve the scalability. Extensive experimental evaluation shows that our approach can scale up to realistic-sized problems with robust enough solutions outperforming heuristic baselines significantly.

[1]  Chunyan Miao,et al.  Optimal Interdiction of Illegal Network Flow , 2016, IJCAI.

[2]  R. Vohra,et al.  Finding the most vital arcs in a network , 1989 .

[3]  Vicki M. Bier,et al.  Deterring the Smuggling of Nuclear Weapons in Container Freight Through Detection and Retaliation , 2011, Decis. Anal..

[4]  Niyazi Onur Bakir A Stackelberg game model for resource allocation in cargo container security , 2011, Ann. Oper. Res..

[5]  R. Kevin Wood,et al.  Shortest‐path network interdiction , 2002, Networks.

[6]  Bo An,et al.  Optimizing Personalized Email Filtering Thresholds to Mitigate Sequential Spear Phishing Attacks , 2016, AAAI.

[7]  H. Stackelberg,et al.  Marktform und Gleichgewicht , 1935 .

[8]  Milind Tambe,et al.  Urban Security: Game-Theoretic Resource Allocation in Networked Domains , 2010, AAAI.

[9]  Bo An,et al.  Security games with surveillance cost and optimal timing of attack execution , 2013, AAMAS.

[10]  Zhen Wang,et al.  Computing Optimal Monitoring Strategy for Detecting Terrorist Plots , 2016, AAAI.

[11]  Noah Gans,et al.  Estimating the Operational Impact of Container Inspections at International Ports , 2010, Manag. Sci..

[12]  Garth P. McCormick,et al.  Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems , 1976, Math. Program..

[13]  Vicki M. Bier,et al.  Analytical method to identify the number of containers to inspect at U.S. ports to deter terrorist attacks , 2011, Ann. Oper. Res..

[14]  Richard L. Church,et al.  Identifying Critical Infrastructure: The Median and Covering Facility Interdiction Problems , 2004 .

[15]  Pedro M. Castro,et al.  Global optimization of water networks design using multiparametric disaggregation , 2012, Comput. Chem. Eng..

[16]  G. Leitmann On generalized Stackelberg strategies , 1978 .

[17]  Özlem Ergun,et al.  The Maximum Flow Network Interdiction Problem: Valid inequalities, integrality gaps, and approximability , 2010, Oper. Res. Lett..

[18]  R. Kevin Wood,et al.  Deterministic network interdiction , 1993 .

[19]  Vincent Conitzer,et al.  A double oracle algorithm for zero-sum security games on graphs , 2011, AAMAS.

[20]  David P. Morton,et al.  Stochastic Network Interdiction , 1998, Oper. Res..

[21]  Timothy J. Leonard,et al.  Security challenges in United States sea ports: an overview , 2015 .

[22]  Pedro M. Castro,et al.  Normalized multiparametric disaggregation: an efficient relaxation for mixed-integer bilinear problems , 2016, J. Glob. Optim..

[23]  Jose Emmanuel Ramirez-Marquez,et al.  Port-of-entry safety via the reliability optimization of container inspection strategy through an evolutionary approach , 2008, Reliab. Eng. Syst. Saf..

[24]  P. Schweitzer,et al.  Generalized polynomial approximations in Markovian decision processes , 1985 .

[25]  Paul B. Kantor,et al.  A Large-Scale Linear Programming Model for Finding Optimal Container Inspection Strategies , 2009 .

[26]  Milind Tambe,et al.  Urban security: game-theoretic resource allocation in networked physical domains , 2010, AAAI 2010.