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

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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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Authors and Affiliations

  1. Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge, CB3 0AS, UK

    Vladimir V. Palyulin

  2. Physics Department, Moscow State University, 119991, Moscow, Russia

    Vladimir N. Mantsevich

  3. Queen Mary University of London, School of Mathematical Sciences, Mile End Road, London, E1 4NS, UK

    Rainer Klages

  4. Institute for Physics & Astronomy, University of Potsdam, 14476, Potsdam-Golm, Germany

    Ralf Metzler & Aleksei V. Chechkin

  5. Akhiezer Institute for Theoretical Physics NSC KIPT, 61108, Kharkov, Ukraine

    Aleksei V. Chechkin

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  1. Vladimir V. Palyulin
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  2. Vladimir N. Mantsevich
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  3. Rainer Klages
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  5. Aleksei V. Chechkin
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Correspondence to Aleksei V. Chechkin.

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Contribution to the Topical Issue “Continuous Time Random Walk Still Trendy: Fifty-year History, Current State and Outlook”, edited by Ryszard Kutner and Jaume Masoliver.

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Palyulin, V.V., Mantsevich, V.N., Klages, R. et al. Comparison of pure and combined search strategies for single and multiple targets. Eur. Phys. J. B 90, 170 (2017). https://doi.org/10.1140/epjb/e2017-80372-4

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