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Optimal Design for One-Dimensional ALOHA Ad Hoc Networks Based on Stochastic Geometry
Author(s) -
SeungHee Lee,
Ganguk Hwang
Publication year - 2015
Publication title -
international journal of distributed sensor networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 53
eISSN - 1550-1477
pISSN - 1550-1329
DOI - 10.1155/2015/934671
Subject(s) - aloha , computer science , stochastic geometry , wireless ad hoc network , metric (unit) , performance metric , network packet , node (physics) , stochastic geometry models of wireless networks , computer network , vehicular ad hoc network , mathematical optimization , distributed computing , topology (electrical circuits) , throughput , mathematics , wireless , telecommunications , statistics , operations management , management , structural engineering , combinatorics , engineering , economics
The aims of this paper are to analyze the performance of a one-dimensional ALOHA ad hoc network and to investigate the impact of the access probability of the ALOHA protocol on the network performance. As a performance metric we consider the average number of nodes that successfully receive a packet from an arbitrary node. To mathematically model the random locations of nodes and the interference in the ad hoc network, we use stochastic geometry theory. With the help of stochastic geometry theory, we model the ad hoc network, derive an analytic form of the performance metric, and finally obtain the optimal access probability that maximizes the performance metric. Numerical examples are provided to validate our analysis and to investigate the performance behavior.

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