Optimal Multiplicative Generalized Coordinated Search Technique to Find a D-Dimensional Random Walker

El–Hadidy, Mohamed Abd Allah; Alfreedi, Ajab A.; Alzulaibani, Alaa Awad

doi:10.1504/ijor.2021.10024709

Cited by 2 publications

(1 citation statement)

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“…To do this, we use n cooperative searchers as in El-Hadidy et al [1,2,20,28]. But, the technique which was used in El-Hadidy et al [1,2,20,28] wasted a lot of costs because the searching process is repeated in the same part more than once. Our model does not waste this cost because the searchers do not repeat the searching process by using the connection technology methods.…”

Section: Problem Formulationmentioning

confidence: 99%

Existence of cooperative search technique to find a Brownian target

El–Hadidy

2020

J Egypt Math Soc

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This article aims to study the existence of the cooperative search technique to find a Brownian target. We have 2n cooperative searchers coordinate their search to find a Brownian target that moves on one of n disjoint real lines. Each line has two searchers. All of these searchers start the searching process from the origin. Rather than finding the conditions that make the expected value of the first interviewing time between one of the searchers and the target is finite, we compute the approximate value of this expected value.

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Section: Problem Formulationmentioning

confidence: 99%

Existence of cooperative search technique to find a Brownian target

El–Hadidy

2020

J Egypt Math Soc

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Analysis of the finiteness for the first collision time between two randomly moving particles

Alzulaibani

2020

J Egypt Math Soc

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The finiteness of the collision time between two different randomly moving particles is presented by providing more useful analysis that gives stronger and finite moment. The triangular arrays and the uniform integrability conditions of the all probable positions non-stationary random sequence are used. In addition, an important property of Marcinkiewicz laws of large numbers and Hoffman-Jorgensen inequality are presented in this analysis. All of them are deriving to provide the sufficient conditions that give more stronger moments of the first meeting time in the probability space.

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Optimal Multiplicative Generalized Coordinated Search Technique to Find a D-Dimensional Random Walker

Cited by 2 publications

References 0 publications

Existence of cooperative search technique to find a Brownian target

Existence of cooperative search technique to find a Brownian target

Analysis of the finiteness for the first collision time between two randomly moving particles

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