Coordinated Search for a Randomly Located Target on the Plane

Authors

  • Mohamed Abdallah El hadidy faculty of science, tanta university, egypt
  • Abd el moniem Anwar Mohamed faculty of science, tanta university, egypt
  • Hamdy Mohamed Abou Gabal faculty of science, tanta university, egypt

Keywords:

coordinated search, optimal search plan, symmetric distribution

Abstract

This paper presents a coordinated search technique that allows two searchers who start together at the intersection point of two roads (the vertical road acts x-axis and the horizintal road acts y-axis) in known region, we consider this point is the center of this region and it is (0,0). The two searchers wanted to detect the lost target which is randomly located on the region. This lost target has symmetric distribution. We will find the expected value of detecting the target and the optimal seach plan which minimizes this expected value in the case of the target has a circular normal distribution, numerical resluts show the effectiveness of this technique and demonstrates the applicablity of it to real world search scenarios

Author Biographies

Mohamed Abdallah El hadidy, faculty of science, tanta university, egypt

department of mathematices, faculty of science, tanta university, egypt

Abd el moniem Anwar Mohamed, faculty of science, tanta university, egypt

departement of mathematices, faculty of science, tanta university, egypt

Hamdy Mohamed Abou Gabal, faculty of science, tanta university, egypt

departement of mathematices, faculty of science, tanta university, egypt

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Published

2009-07-28

How to Cite

El hadidy, M. A., Mohamed, A. el moniem A., & Abou Gabal, H. M. (2009). Coordinated Search for a Randomly Located Target on the Plane. European Journal of Pure and Applied Mathematics, 2(1), 97–111. Retrieved from https://www.ejpam.com/index.php/ejpam/article/view/173

Issue

Vol. 2 No. 1: (January 2009)

Section

Optimization

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.