Asymptotic node distribution of random walk model for ad hoc networks

Yan Tao Liu; Jian Ping An

Asymptotic node distribution of random walk model for ad hoc networks

Yan Tao Liu^*
, Jian Ping An

^*Corresponding author for this work

School of Cyberspace Science and Technology

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Asymptotic node distribution of random walking mobility model is analyzed in two kinds of simulation regions. In boundless regions, the probability density functions of the endpoints after n-step movements are calculated by central limit theorem. When model is implemented in a bounded region, it is proven, by the method of Markov chains and simulation, that the asymptotic node distribution is uniform due to border effect.

Original language	English
Pages (from-to)	573-577
Number of pages	5
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	30
Issue number	5
Publication status	Published - May 2010

Keywords

Ad hoc network
Central limit theorem
Markov chain
Random walk model

Cite this

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title = "Asymptotic node distribution of random walk model for ad hoc networks",

abstract = "Asymptotic node distribution of random walking mobility model is analyzed in two kinds of simulation regions. In boundless regions, the probability density functions of the endpoints after n-step movements are calculated by central limit theorem. When model is implemented in a bounded region, it is proven, by the method of Markov chains and simulation, that the asymptotic node distribution is uniform due to border effect.",

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AU - Liu, Yan Tao

AU - An, Jian Ping

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AB - Asymptotic node distribution of random walking mobility model is analyzed in two kinds of simulation regions. In boundless regions, the probability density functions of the endpoints after n-step movements are calculated by central limit theorem. When model is implemented in a bounded region, it is proven, by the method of Markov chains and simulation, that the asymptotic node distribution is uniform due to border effect.

KW - Ad hoc network

KW - Central limit theorem

KW - Markov chain

KW - Random walk model

UR - https://www.scopus.com/pages/publications/77954271368

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AN - SCOPUS:77954271368

SN - 1001-0645

VL - 30

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JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 5

ER -

Asymptotic node distribution of random walk model for ad hoc networks

Abstract

Keywords

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