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| LINEAR SEARCH FOR A BROWNIAN TARGET MOTION | |
| 引用本文： | A.B.El-Rayes AbdEl-MoneimA.Mohamed HamdyM.AbouGabal. LINEAR SEARCH FOR A BROWNIAN TARGET MOTION[J]. 数学物理学报(B辑英文版), 2003, 23(3): 321-327. DOI: 10.1016/S0252-9602(17)30338-7 |
| 作者姓名： | A.B.El-Rayes AbdEl-MoneimA.Mohamed HamdyM.AbouGabal |
| 作者单位： | [1]MilitaryTechnicalCollege,Cairo,Egypt [2]DepartmentofMathematics,FacultyofScience,TantaUniversity,Tanta,Egypt |
| 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. |
| 关 键 词： | 线性搜索 Brown运动 期望 目标 搜索计划 存在性 最优搜索路径 |
| 收稿时间： | 2000-08-08 |
LINEAR SEARCH FOR A BROWNIAN TARGET MOTION |
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| A.B.El-Rayes,Abd El-Moneim A.Mohamed,Hamdy M.Abou Gabal. LINEAR SEARCH FOR A BROWNIAN TARGET MOTION[J]. Acta Mathematica Scientia, 2003, 23(3): 321-327. DOI: 10.1016/S0252-9602(17)30338-7 | |
| Authors: | A.B.El-Rayes Abd El-Moneim A.Mohamed Hamdy M.Abou Gabal |
| Affiliation: | 1. Mathematics and Operational Research Department (MARO), University of Mons, Belgium;2. INRIA Lille Nord Europe, Université Lille 1, CNRS/CRIStAL, Cité scientifique, 59655 Villeneuve d’Ascq cedex, France |
| Abstract: | 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. |
| Keywords: | Brownian process expected value linear search optimal search plan |
| 本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录！ | |