Search for a Moving Element with the Minimum Total Cardinality of Tests


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Abstract

We consider the moving element search problem with the minimum total cardinality of tests. As a search space, we consider the set of integer points of a segment of length n. We prove that the total test cardinality of an asymptotically optimal adaptive strategy is \(n + 2\sqrt n \).

About the authors

A. V. Lebedev

Kharkevich Institute for Information Transmission Problems

Author for correspondence.
Email: al_lebed95@mail.ru
Russian Federation, Moscow

V. S. Lebedev

Kharkevich Institute for Information Transmission Problems

Email: al_lebed95@mail.ru
Russian Federation, Moscow

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