Coordinated Search for a Conditionally Deterministic Target Motion in the Plane

  • Abd El-Moneim Anwar Mohamed Department of Mathematics, Faculty of Science, Tanta University
  • Mohamed Abd Allah El-Hadidy Department of Mathematics, Faculty of Science, Tanta University

Abstract

Two unit speed searchers at (0,0) seek for a Conditionally Deterministic moving target in the plane in which any time information of the target position is not available to the searchers. The objective is to find the conditions under which the expected value of the first meeting time for the searchers to return to (0,0) after one of them has met the target is finite. And, to show the existence of
an optimal search plan which made the expected value is minimum. In addition, we find the necessary conditions that make the search strategy be optimal.

Published
2013-06-28
How to Cite
Mohamed, A. E.-M. A., & El-Hadidy, M. A. A. (2013). Coordinated Search for a Conditionally Deterministic Target Motion in the Plane. European Journal of Mathematical Sciences, 2(3), 272-295. Retrieved from https://ejmathsci.org/index.php/ejmathsci/article/view/81
Section
Articles