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Regional surveillance of disjoint rectangles: a travelling salesman formulation

Author

Listed:
  • K Y K Ng

    (Defence R&D Canada, CORA
    University of Ottawa)

  • N G F Sancho

    (McGill University)

Abstract

Mission planning for surveillance coverage is of both practical and theoretical interest. In brief, regional surveillance involves planning the search of certain given regions in the minimum possible time. The surveillance problem can therefore be described as a variant of the classical travelling salesman problem. The uniqueness of the problem lies in the different allowed entry and exit points. Additionally, the mission schedule has to ensure the probability of target detection must not be compromised. From the practical perspective, any reduction in travelling time provides immediate cost savings to the defence department. A dynamic programming formulation is derived for the regional surveillance problem. An example is included to illustrate the methodology.

Suggested Citation

  • K Y K Ng & N G F Sancho, 2009. "Regional surveillance of disjoint rectangles: a travelling salesman formulation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(2), pages 215-220, February.
    • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:2:d:10.1057_palgrave.jors.2602507
    DOI: 10.1057/palgrave.jors.2602507
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    References listed on IDEAS

    as
    1. Maria John & David Panton & Kevin White, 2001. "Mission Planning for Regional Surveillance," Annals of Operations Research, Springer, vol. 108(1), pages 157-173, November.
    2. K Y K Ng & A Ghanmi, 2002. "An automated surface surveillance system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(7), pages 697-708, July.
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    Cited by:

    1. Orhan Karasakal, 2016. "Minisum and maximin aerial surveillance over disjoint rectangles," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(3), pages 705-724, October.

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