Randomly Coordinated Search for a lost target | ||
| Delta Journal of Science | ||
| Volume 49, Issue 1, September 2024, Pages 101-111 PDF (995.27 K) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2024.314518.1191 | ||
| Authors | ||
| Aya Mohamed Gabr* 1; Abd El-Moneim teamah2 | ||
| 1Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt | ||
| 2Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt | ||
| Abstract | ||
| This paper considers the coordinated search problem in which the searcher moves randomly, our goal is to detect a randomly situated hole on one of the two intersected lines such as oil pipeline or a cut in one of the two power cable lines beneath the surface of the ocean. The four searchers start together looking for the target from the intersection point. The intersected point is a starting point of the motion of the searchers (the origin point), also the searchers search the target with random distances and velocities across time, there is a known probability distribution for the target's position. The target located on one of the two intersected real lines according to a known un-symmetric distribution except the origin which the point of intersected lines. Where four searchers aim to detect the lost target. The final results determined the expected value of the detection time, also deduced the conditions that can minimize this expected value. | ||
| Keywords | ||
| Target; Coordinated search; Optimal search plan | ||
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