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Optimal discrete search with technological choice

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  • Joseph Kadane

Abstract

Consider a search problem in which a stationary object is in one of $$L \epsilon \mathcal {N}$$ L ϵ N locations. Each location can be searched using one of $$T \epsilon \mathcal {N}$$ T ϵ N technologies, and each location-technology pair has a known associated cost and overlook probability. These quantities may depend on the number of times that the technology is applied to the location. This paper finds a search policy that maximizes the probability of finding the object given a constraint on the available budget. It also finds the policy that maximizes the probability of correctly stating at the end of a search where the object is. Additionally it exhibits another policy that minimizes the expected cost required to find the object and the optimal policy for stopping. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:mathme:v:81:y:2015:i:3:p:317-336
    DOI: 10.1007/s00186-015-0499-8
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    References listed on IDEAS

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