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The bearing only localization problem via partially observed Markov decision process

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Listed:
  • François Dufour

    (Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251)

  • Alexandre Génadot

    (Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251)

  • Romain Namyst

    (Univ. Bordeaux, CNRS, INRIA, Bordeaux INP, IMB, UMR 5251)

Abstract

We consider the classical problem of localization of a target from an observer from bearing measurements. We reformulate this problem within the framework of the theory of partially observed Markov decision processes and propose a method for numerically solving this problem. Theoretical convergence of this numerical solution scheme is obtained and numerical investigations are also carried out, enabling us to recover optimal curves already suggested in the literature via other techniques.

Suggested Citation

  • François Dufour & Alexandre Génadot & Romain Namyst, 2025. "The bearing only localization problem via partially observed Markov decision process," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 101(2), pages 219-257, April.
    • Handle: RePEc:spr:mathme:v:101:y:2025:i:2:d:10.1007_s00186-025-00890-7
    DOI: 10.1007/s00186-025-00890-7
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    References listed on IDEAS

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    1. Naci Saldi & Serdar Yüksel & Tamás Linder, 2017. "On the Asymptotic Optimality of Finite Approximations to Markov Decision Processes with Borel Spaces," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 945-978, November.
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