Comparison of pure and combined search strategies for single and multiple targets

  • Vladimir V. Palyulin
  • Vladimir N. Mantsevich
  • Rainer Klages
  • Ralf Metzler
  • Aleksei V. Chechkin
Regular Article
Part of the following topical collections:
  1. Topical issue: Continuous Time Random Walk Still Trendy: Fifty-year History, Current State and Outlook

Abstract

We address the generic problem of random search for a point-like target on a line. Using the measures of search reliability and efficiency to quantify the random search quality, we compare Brownian search with Lévy search based on long-tailed jump length distributions. We then compare these results with a search process combined of two different long-tailed jump length distributions. Moreover, we study the case of multiple targets located by a Lévy searcher.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Vladimir V. Palyulin
    • 1
  • Vladimir N. Mantsevich
    • 2
  • Rainer Klages
    • 3
  • Ralf Metzler
    • 4
  • Aleksei V. Chechkin
    • 4
    • 5
  1. 1.Department of Chemical Engineering and BiotechnologyUniversity of CambridgeCambridgeUK
  2. 2.Physics Department, Moscow State UniversityMoscowRussia
  3. 3.Queen Mary University of London, School of Mathematical SciencesLondonUK
  4. 4.Institute for Physics & Astronomy, University of PotsdamPotsdam-GolmGermany
  5. 5.Akhiezer Institute for Theoretical Physics NSC KIPTKharkovUkraine

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