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ASYMPTOTIC EVALUATION OF BLOCKING PROBABILITIES IN A HIERARCHICAL CELLULAR MOBILE NETWORK

Published online by Cambridge University Press:  01 January 2000

Stefan Verwijmeren ,
Michel Mandjes  and
Richard J. Boucherie
Stefan Verwijmeren
Affiliation:
Universiteit van Amsterdam, Department of Operations Research and Management, 1018 WB Amsterdam, The Netherlands
Michel Mandjes
Affiliation:
Bell Labs/Lucent Technologies, Murray Hill, New Jersey 07974
Richard J. Boucherie
Affiliation:
Universiteit van Amsterdam, Department of Operations Research and Management, 1018 WB Amsterdam, The Netherlands
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Abstract

This paper investigates blocking probabilities obtained from multidimensional truncated Poisson distributions. For blocking probabilities typically arising in layered cellular mobile communications networks, the large deviations results of Gazdzicki et al. [9] are extended to state spaces determined by multiple constraints. The results yield asymptotically exact expressions that provide an accurate approximation of probabilities up to 1%, which considerably extends the applicability of large deviations results and enables efficient approximation of blocking probabilities for realistic mobile communications networks.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 14 , Issue 1 , January 2000 , pp. 81 - 99
Copyright
© 2000 Cambridge University Press

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