Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Stochastic Network Interdiction
Operations Research
Multicriteria Optimization
A Two-Sided Optimization for Theater Ballistic Missile Defense
Operations Research
Shortest path network interdiction with asymmetric information
Networks - Games, Interdiction, and Human Interaction Problems on Networks
Minimizing a stochastic maximum-reliability path
Networks - Games, Interdiction, and Human Interaction Problems on Networks
Deterministic network interdiction
Mathematical and Computer Modelling: An International Journal
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This article develops defender-attacker network interdiction models with deception. Here, deception refers to a preemptive and intelligent use of concealed interdiction assets and decoys by the defender, in addition to transparent assets commonly employed in modeling defender-attacker problems. These models can help security planners to locate a limited number of checkpoints and sensors of various types to, for example, detect the smuggling of illegal products. The problem is complex, in part, because the objective functions of the defender and the attacker are different, and because the latter (which represents the attacker's behavior) is difficult to predict by the defender. First, we use duality theory and a generalized network flow model to devise an equivalent mixed-integer programming formulation, and develop its Benders decomposition. We extend this formulation with a multiobjective approach to account for several behaviors simultaneously. The computational effort to solve these models is considerable, as exemplified by our testing on a variety of cases for a medium-sized, notional network. Published 2011 Wiley Periodicals, Inc. NETWORKS, 2012 (This article is a U.S. Government work and is in the public domain in the USA.)