Stochastic Analysis of Mobile Ad-hoc Networks
The MANET networks (Mobile Ad-hoc Networks) are known by their dynamicity of nodes and they are without pre-existing infrastructure. To study this kind of networks, we modelled them by a Random Geometric Graphs (RGG). We show that this type of graph is the best adapted to represent such networks, and this shows that the RGG are able to catch the dynamicity properties. We study then the evolution of the network by a continuous-time birth-death Markov process.
Keywords: MANET Networks, Mobility, Dynamicity, Random Geometric Graph, Birth-Death Markovian Process, Stochastic Analysis
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ABOUT THE AUTHORS
Nassiri Khalid
Khalid Nassiri is a PhD student in Mathematics and Computer Science Department at the Faculty of Sciences and Technologies -- Errachidia, Moulay Ismail University -- Morocco. His research interest includes the analysis of Mobile ad-hoc networks and distributed algorithms. He obtained, in 2007, his Master in ``Mathematical modeling, intelligent systems and applications\'\' at the Faculty of Sciences, Ibn Zohr University Agadir -- Morocco.
El Hibaoui Abdelaaziz
Abdelaaziz EL Hibaoui is a Professor of computer sciences, attached to Abdelmalek Essaadi university -- Morocco. He obtained his PhD Thesis on \"Probabilistic distributed Algorithms with random delays\", 2006 -- Bordeaux 1 university -- France. His current research interests concern wind energy, sensor networks, network security, and randomized distributed algorithms. He has authored several international journal papers.
Hajar Moha
Moha Hajar is a Professor of mathematics at Faculty of Sciences and Technologies - Errachidia -- Morocco . He has obtained his PhD Thesis in 1988 at LMA-CNRS, Aix-Marseille University, France. He has several responsibilities, like a manager of ``Operational Research and Computer Science Team\'\'. Also, he has made several publications in various journals.
Nassiri Khalid
Khalid Nassiri is a PhD student in Mathematics and Computer Science Department at the Faculty of Sciences and Technologies -- Errachidia, Moulay Ismail University -- Morocco. His research interest includes the analysis of Mobile ad-hoc networks and distributed algorithms. He obtained, in 2007, his Master in ``Mathematical modeling, intelligent systems and applications\'\' at the Faculty of Sciences, Ibn Zohr University Agadir -- Morocco.
El Hibaoui Abdelaaziz
Abdelaaziz EL Hibaoui is a Professor of computer sciences, attached to Abdelmalek Essaadi university -- Morocco. He obtained his PhD Thesis on \"Probabilistic distributed Algorithms with random delays\", 2006 -- Bordeaux 1 university -- France. His current research interests concern wind energy, sensor networks, network security, and randomized distributed algorithms. He has authored several international journal papers.
Hajar Moha
Moha Hajar is a Professor of mathematics at Faculty of Sciences and Technologies - Errachidia -- Morocco . He has obtained his PhD Thesis in 1988 at LMA-CNRS, Aix-Marseille University, France. He has several responsibilities, like a manager of ``Operational Research and Computer Science Team\'\'. Also, he has made several publications in various journals.
