Abstract
A stochastic model is used to analyse cellular communication network performance through the average number of users connected to a base station. This average is studied in two different ways : from the servers’ point of view and the customers’, leading to different results. Analytic limitations appear in the non-stationary case. Simulation seems to be a solution in order to obtain realisations as well as non intuitive results.
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F. Baccelli, M. Klein, M. Lebourges and S. Zuyev. Géométric aléatoire et architecture de réseaux de communication INRIA, 1995, Rapport de recherche 2542.
F. Baccelli and S. Zuyev. Poisson-Voronoï Spanning trees INRIA, 1996, Rapport de recherche 3040.
G. Foss and S. Zuyev. On a Voronoï Aggregative Process Related to a Bivariate Poisson Process. Adv. Appl. Proba., 1996
C. Lantuéjoul and F. Maisonneuve. Geodesic methods in quantitative image analysis. Pattern Recognition Journal, 17-2:177–187, 1984
D. Stoyan, W. Kendall and J. Mecke. Stochastic geometry and its applications. John Wiley & Sons, 1995
G. Matheron. Random sets & integral geometry. John Wiley & Sons, 1975
J. Serra. Image analysis and mathematical morphology. Academic press, 1982
W. Feller. An introduction to probability theory and its applications. John Wiley &. Sons, 1950
C. Lantuéjoul. Conditional simulation of random sets. Proceeding of the Section on statistics and the environment, Annual Meeting of the American Statistical Association, 37–45, 1998
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© 2002 Kluwer Academic/Plenum Publishers
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Tournois, F., LantuÉjoul, C., Schmitt, M. (2002). Quantitative Description of Telecommunication Networks by Simulation. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 18. Springer, Boston, MA. https://doi.org/10.1007/0-306-47025-X_46
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DOI: https://doi.org/10.1007/0-306-47025-X_46
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-7862-4
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