Existence of a periodic search strategy for a parabolic spiral target motion in the plane

被引：14

作者：

Mohamed A.E.-M.A. ^{[1
]}

El-Hadidy M.A.A. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science, Tanta University, Tanta

来源：

Afrika Matematika | 2013年 / 24卷 / 2期

关键词：

Angular velocity; First meeting time; Parabolic spiral; Periodic search strategy; Search plan;

D O I：

10.1007/s13370-011-0049-3

中图分类号：

学科分类号：

摘要：

This paper investigates a periodic search problem for a parabolic spiral moving target in the plane in which any information of the target position is not always available to the searcher. We have one searcher that starts searching for the target from (0, 0). The problem is mathematically formulated as an allocation of searching effort which is the expected value of the first meeting time between the searcher and the target. We study the same method which is detailed on the real line by Mohamed et al. (Appl. Math. Model. 35:4127-4139, 2011) in the case of the plane to find the conditions from which the expected value is finite. © 2011 African Mathematical Union and Springer-Verlag.

引用

页码：145 / 160

页数：15