Abstract
In this paper, we analyze and synthesize a multi-server loss system with repeated customers, arising out of NTT DoCoMo-developed telecommunication networks. We first provide the numerical solution for a Markovian model with exponential retrial intervals. Applying Little’s formula, we derive the main system performance measures (blocking probability and mean waiting time) for general non-Markovian models. We compare the numerical and simulated results for the Markovian model, in order to check the accuracy of the simulations. Via performing extensive simulations for non-Markovian (non-exponential retrial intervals) models, we find \(\it{robustness}\) in the blocking probability and the mean waiting time, that is, the performance measures are shown to be insensitive to the retrial intervals distribution except for the mean.
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Takahashi, A., Takahashi, Y., Kaneda, S., Akinaga, Y., Shinagawa, N. (2007). The Robustness of Blocking Probability in a Loss System with Repeated Customers. In: Filipe, J., Coelhas, H., Saramago, M. (eds) E-business and Telecommunication Networks. ICETE 2005. Communications in Computer and Information Science, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75993-5_18
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DOI: https://doi.org/10.1007/978-3-540-75993-5_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75992-8
Online ISBN: 978-3-540-75993-5
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