Existence of a finite multiplicative search plan with random distances and velocities to find a d-dimensional Brownian target

Autor:	Mohamed Abd Allah El-Hadidy, Alaa Awad Alzulaibani
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	random search brownian motion fourier–laplace representation Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 13, Iss 1, Pp 1035-1043 (2019)
Druh dokumentu:	article
ISSN:	1658-3655 16583655
DOI:	10.1080/16583655.2019.1680032
Popis:	We present the existence of a finite search plan to find Brownian target on the d-space by using d-searchers. Each searcher moves continuously in both directions of the origin (starting point) of the line (field of its search) with random distances and velocities. We express theses distances and velocities with independent random variables with known probability density functions (PDFs). We present more analysis about the density of the random distances in our model by using Fourier–Laplace representation. This analysis will provide us with the conditions that make the expected value of the first meeting time between the target and one of the searchers finite.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8fea2b9ff253482ea7f04d1e83e740db Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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