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Models of sensor operations for border surveillance

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Listed:
  • Roberto Szechtman
  • Moshe Kress
  • Kyle Lin
  • Dolev Cfir

Abstract

This article is motivated by the diverse array of border threats, ranging from terrorists to arms dealers and human traffickers. We consider a moving sensor that patrols a certain section of a border with the objective to detect infiltrators who attempt to penetrate that section. Infiltrators arrive according to a Poisson process along the border with a specified distribution of arrival location, and disappear a random amount of time after their arrival. The measures of effectiveness are the target (infiltrator) detection rate and the time elapsed from target arrival to target detection. We study two types of sensor trajectories that have constant endpoints, are periodic, and maintain constant speed: (1) a sensor that jumps instantaneously from the endpoint back to the starting‐point, and (2) a sensor that moves continuously back and forth. The controlled parameters (decision variables) are the starting and end points of the patrolled sector and the velocity of the sensor. General properties of these trajectories are investigated. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • Roberto Szechtman & Moshe Kress & Kyle Lin & Dolev Cfir, 2008. "Models of sensor operations for border surveillance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(1), pages 27-41, February.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:1:p:27-41
    DOI: 10.1002/nav.20263
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    References listed on IDEAS

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    1. Pia M. Orrenius, 2001. "Illegal immigration and enforcement along the U.S.-Mexico border; an overview," Economic and Financial Policy Review, Federal Reserve Bank of Dallas, issue Q I, pages 2-11.
    2. Pia M. Orrenius, 2001. "Illegal immigration and enforcement along the southwest border," Monograph, Federal Reserve Bank of Dallas, number 2001iiaeats.
    3. Eric Langford, 1973. "A continuous submarine versus submarine game," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(3), pages 405-417, September.
    4. Alan R. Washburn, 1982. "On patrolling a channel," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 609-615, December.
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    Cited by:

    1. Fang Lu & John J. Hasenbein & David P. Morton, 2016. "Modeling and Optimization of a Spatial Detection System," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 512-526, August.
    2. Michael Atkinson & Moshe Kress & Rutger-Jan Lange, 2016. "When Is Information Sufficient for Action? Search with Unreliable yet Informative Intelligence," Operations Research, INFORMS, vol. 64(2), pages 315-328, April.
    3. Grant, James A. & Leslie, David S. & Glazebrook, Kevin & Szechtman, Roberto & Letchford, Adam N., 2020. "Adaptive policies for perimeter surveillance problems," European Journal of Operational Research, Elsevier, vol. 283(1), pages 265-278.
    4. Alpern, Steve & Lidbetter, Thomas & Papadaki, Katerina, 2019. "Optimizing periodic patrols against short attacks on the line and other networks," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1065-1073.
    5. Katerina Papadaki & Steve Alpern & Thomas Lidbetter & Alec Morton, 2016. "Patrolling a Border," Operations Research, INFORMS, vol. 64(6), pages 1256-1269, December.
    6. Sushil Gupta & Martin K. Starr & Reza Zanjirani Farahani & Mahsa Mahboob Ghodsi, 2020. "Prevention of Terrorism–An Assessment of Prior POM Work and Future Potentials," Production and Operations Management, Production and Operations Management Society, vol. 29(7), pages 1789-1815, July.
    7. Ben Hermans & Herbert Hamers & Roel Leus & Roy Lindelauf, 2019. "Timely exposure of a secret project: Which activities to monitor?," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 451-468, September.

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