Nathalia Djellab

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This paper is a contribution to the mathematical modeling of an important element in Ad hoc networks: Hello message. A queuing system is introduced to model the hello message receptions at given node. Here, the customers are the Hello messages and the service is defined as the processing of these messages. The modeling in question allows us to study the(More)
In this paper, we exploit the utility of Hello messages in the Ad hoc networks to study the impact of their transmission frequencies on the connectivity of the network. Assuming that the Hello messages arrive at a given node according to a Poisson process, we model a cluster-head motion (respectively an ordinary node motion) using a random process. This(More)
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