Linear search for Abrownian target motion

被引：17

作者：

El-Rayes, AB

Mohamed, AE

Abou Gabal, HM

机构：

[1] Mil Tech Coll, Cairo, Egypt

[2] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

来源：

ACTA MATHEMATICA SCIENTIA | 2003年 / 23卷 / 03期

关键词：

Brownian process; expected value; linear search; optimal search plan;

D O I：

10.1016/S0252-9602(17)30338-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A target is assumed to move according to a Brownian motion on the real line.. The searcher starts from the origin and moves in the two directions from the starting point. The object is to detect the target. The purpose of this paper is to find the conditions under which the expected value of the first meeting time of the searcher and the target is finite, and to show the existence of a search plan which made this expected value minimum.

引用

页码：321 / 327

页数：7