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Approximation of Probability Distribution Function of Link Distances in Mobile Ad Hoc and Sensor Networks

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Abstract:

A Mobile Ad Hoc Network is an infrastructure-less network composed of mobile devices. In order to meet the requirements of newly developing mobile ad hoc networks, a method of maintaining a real-time flow despite dynamic topology and random movement of users is required. Mobility prediction is one of the keys to successful design of efficient protocols to find stable and reliable routes in mobile ad hoc and sensor networks. An important characteristic of a mobile ad hoc network is the distribution of the link distance between communicating users. In this paper, a novel mobility model is developed for users of a mobile ad hoc network wandering in an unlimited area and is used to derive an analytical framework to approximate the communication links distance distribution, providing that the horizontal and vertical movements of the nodes follow independent spatial probability distributions. This could be used to minimize the effects of topological changes while balancing the need to support more stable routes. This paper also studies the performance of the approximation method via extensive simulation experiments and statistical tests to verify the validity of the derived distribution in comparison with a simulated movement model with realistic parameters.

Keywords: LINK DISTANCE; MOBILE AD HOC AND SENSOR NETWORK; MOBILITY PREDICTION; PROBABILITY DISTRIBUTION

Document Type: Research Article

DOI: https://doi.org/10.1166/sl.2008.021

Publication date: 2008-02-01

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