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Sixth International Conference on Computer Communications and Networks (ICCCN '97)   p. 228
Tight Upper Bounds for Cell Loss Probabilities in ATM Multiplexers and Required Bandwidth Estimation
Xiaoming Liu, Hong Kong University of Science and Technology
Danny H. K. Tsang, Hong Kong University of Science and Technology
Liming Liu, Hong Kong University of Science and Technology
Brahim Bensaou, Centre for Wireless Communications National University of Singapore

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICCCN.1997.623317
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Abstract
Estimating the cell loss probability in an ATM multiplexer is a key issue in network management and traffic control such as call admission control and bandwidth allocation. In this paper, we derive a new approximation to estimate the total and individual cell loss probabilities in an ATM multiplexer fed by a superposition of heterogeneous on-off sources with exponentially distributed on and off periods. Based on this approximation, a simple and accurate method is proposed to estimate the aggregate required bandwidth by a given mix of traffic to guarantee a given cell loss probability.
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Citation:  Xiaoming Liu, Danny H. K. Tsang, Liming Liu, Brahim Bensaou, "Tight Upper Bounds for Cell Loss Probabilities in ATM Multiplexers and Required Bandwidth Estimation," icccn, p. 228,  Sixth International Conference on Computer Communications and Networks (ICCCN '97),  1997