Optimal discrete search with technological choice

Joseph Kadane ()

Mathematical Methods of Operations Research, 2015, vol. 81, issue 3, 317-336

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

Keywords: Detection search; Whereabouts search; Optimal stopping; Neyman–Pearson Lemma; Myopic strategy; Greedy algorithm (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:81:y:2015:i:3:p:317-336

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DOI: 10.1007/s00186-015-0499-8

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