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Optimal Whereabouts Search

Author

Listed:
  • Joseph B. Kadane

    (Center for Naval Analyses, Arlington, Virginia)

Abstract

An optimal whereabouts search maximizes the probability of correctly stating, at the end of a search costing no more than some budget C , which box contains the object. This can be accomplished either by finding the object in the search or by guessing, at the end of an unsuccessful search, which box contains the object. Generalizing work of Tognetti, this paper shows that an optimal whereabouts search never searches the box to be guessed, and gives an algorithm for finding an optimal whereabouts-search strategy. Finally, whereabouts search is compared to a similar problem proposed by Bellman.

Suggested Citation

  • Joseph B. Kadane, 1971. "Optimal Whereabouts Search," Operations Research, INFORMS, vol. 19(4), pages 894-904, August.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:4:p:894-904
    DOI: 10.1287/opre.19.4.894
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    Cited by:

    1. Joseph Kadane, 2015. "Optimal discrete search with technological choice," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 81(3), pages 317-336, June.
    2. Jake Clarkson & Kevin D. Glazebrook & Kyle Y. Lin, 2020. "Fast or Slow: Search in Discrete Locations with Two Search Modes," Operations Research, INFORMS, vol. 68(2), pages 552-571, March.
    3. Stanley J. Benkoski & Michael G. Monticino & James R. Weisinger, 1991. "A survey of the search theory literature," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(4), pages 469-494, August.
    4. Michael Atkinson & Moshe Kress & Rutger-Jan Lange, 2016. "When Is Information Sufficient for Action? Search with Unreliable yet Informative Intelligence," Operations Research, INFORMS, vol. 64(2), pages 315-328, April.
    5. Yan Xia & Rajan Batta & Rakesh Nagi, 2017. "Controlling a Fleet of Unmanned Aerial Vehicles to Collect Uncertain Information in a Threat Environment," Operations Research, INFORMS, vol. 65(3), pages 674-692, June.
    6. Wilson, Kurt E. & Szechtman, Roberto & Atkinson, Michael P., 2011. "A sequential perspective on searching for static targets," European Journal of Operational Research, Elsevier, vol. 215(1), pages 218-226, November.
    7. Baycik, N. Orkun & Sharkey, Thomas C. & Rainwater, Chase E., 2020. "A Markov Decision Process approach for balancing intelligence and interdiction operations in city-level drug trafficking enforcement," Socio-Economic Planning Sciences, Elsevier, vol. 69(C).
    8. Joseph B. Kadane, 2015. "Optimal discrete search with technological choice," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 81(3), pages 317-336, June.

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