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To catch an intruder: Part A—uncluttered scenario

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  • Michael P. Atkinson
  • Moshe Kress
  • Roberto Szechtman

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

Suggested Citation

  • Michael P. Atkinson & Moshe Kress & Roberto Szechtman, 2017. "To catch an intruder: Part A—uncluttered scenario," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(1), pages 29-40, February.
    • Handle: RePEc:wly:navres:v:64:y:2017:i:1:p:29-40
    DOI: 10.1002/nav.21730
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    References listed on IDEAS

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    1. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 1-24, September.
    2. Michael P. Atkinson & Lawrence M. Wein, 2008. "TECHNICAL NOTE---Spatial Queueing Analysis of an Interdiction System to Protect Cities from a Nuclear Terrorist Attack," Operations Research, INFORMS, vol. 56(1), pages 247-254, February.
    3. Scott Shorey Brown, 1980. "Optimal Search for a Moving Target in Discrete Time and Space," Operations Research, INFORMS, vol. 28(6), pages 1275-1289, December.
    4. James N. Eagle, 1984. "The Optimal Search for a Moving Target When the Search Path Is Constrained," Operations Research, INFORMS, vol. 32(5), pages 1107-1115, October.
    5. Kress, M. & Royset, J.O. & Rozen, N., 2012. "The eye and the fist: Optimizing search and interdiction," European Journal of Operational Research, Elsevier, vol. 220(2), pages 550-558.
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    Cited by:

    1. Wang, Jian & Cui, Lei, 2023. "Patrolling games with coordination between monitoring devices and patrols," Reliability Engineering and System Safety, Elsevier, vol. 233(C).

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