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Planning a multi-sensors search for a moving target considering traveling costs

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  • Delavernhe, Florian
  • Jaillet, Patrick
  • Rossi, André
  • Sevaux, Marc

Abstract

This paper addresses the optimization problem of managing the research efforts of a set of sensors in order to minimize the probability of non-detection of a target. A novel formulation of the problem taking into account the traveling costs between the searched areas is proposed; it is more realistic and extends some previous problems addressed in the literature. A greedy heuristic algorithm is devised, it builds a solution gradually, using a linear approximation of the objective function refined at each step. The heuristic algorithm is complemented by a lower bound based on a piecewise linear approximation of the objective function with a parametric error, and extended to the case where the target is moving. Finally, a set of numerical experiments is performed to analyze and evaluate the proposed contributions.

Suggested Citation

  • Delavernhe, Florian & Jaillet, Patrick & Rossi, André & Sevaux, Marc, 2021. "Planning a multi-sensors search for a moving target considering traveling costs," European Journal of Operational Research, Elsevier, vol. 292(2), pages 469-482.
    • Handle: RePEc:eee:ejores:v:292:y:2021:i:2:p:469-482
    DOI: 10.1016/j.ejor.2020.11.012
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    References listed on IDEAS

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