To catch an intruder: Part A—uncluttered scenario

Michael P. Atkinson, Moshe Kress and Roberto Szechtman

Naval Research Logistics (NRL), 2017, vol. 64, issue 1, 29-40

Abstract: We analyze an interdiction scenario where an interceptor attempts to catch an intruder as the intruder moves through the area of interest. A motivating example is the detection and interdiction of drug smuggling vessels in the Eastern Pacific and Caribbean. We study two models in this article. The first considers a nonstrategic target that moves through the area without taking evasive action to avoid the interdictor. We determine the optimal location the interceptor should position itself to best respond when a target arrives. The second model analyzes the strategic interaction between the interceptor and intruder using a Blotto approach. The intruder chooses a route to travel on and the interceptor chooses a route to patrol. We model the interaction as a two‐player game with a bilinear payoff function. We compute the optimal strategy for both players and examine several extensions. © 2017 Wiley Periodicals, Inc. Naval Research Logistics, 64: 29–40, 2017

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:64:y:2017:i:1:p:29-40

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