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Authors: Akira Takahashi 1 ; Yoshitaka Takahashi 1 ; Shigeru Keneda 2 and Yoshikazu Akinaga 2

Affiliations: 1 Waseda University, Japan ; 2 Network Laboratories , NTT DoCoMo,Inc., Japan

Keyword(s): Teletraffic analysis, loss system, repeated customers, Little’s formula.

Related Ontology Subjects/Areas/Topics: Data Communication Networking ; Information and Systems Security ; Network Management ; Performance Analysis of Wireless Networks ; Telecommunications ; Wireless and Mobile Technologies ; Wireless Information Networks and Systems

Abstract: In this paper, we analyze and synthesize amulti-server loss systemwith 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 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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Paper citation in several formats:
Takahashi, A.; Takahashi, Y.; Keneda, S. and Akinaga, Y. (2005). THE ROBUSTNESS OF BLOCKING PROBABILITY IN A LOSS SYSTEM WITH REPEATED CUSTOMERS. In Proceedings of the Second International Conference on e-Business and Telecommunication Networks - Volume 2: ICETE; ISBN 972-8865-33-3; ISSN 2184-3236, SciTePress, pages 61-66. DOI: 10.5220/0001416300610066

@conference{icete05,
author={Akira Takahashi. and Yoshitaka Takahashi. and Shigeru Keneda. and Yoshikazu Akinaga.},
title={THE ROBUSTNESS OF BLOCKING PROBABILITY IN A LOSS SYSTEM WITH REPEATED CUSTOMERS},
booktitle={Proceedings of the Second International Conference on e-Business and Telecommunication Networks - Volume 2: ICETE},
year={2005},
pages={61-66},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001416300610066},
isbn={972-8865-33-3},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the Second International Conference on e-Business and Telecommunication Networks - Volume 2: ICETE
TI - THE ROBUSTNESS OF BLOCKING PROBABILITY IN A LOSS SYSTEM WITH REPEATED CUSTOMERS
SN - 972-8865-33-3
IS - 2184-3236
AU - Takahashi, A.
AU - Takahashi, Y.
AU - Keneda, S.
AU - Akinaga, Y.
PY - 2005
SP - 61
EP - 66
DO - 10.5220/0001416300610066
PB - SciTePress