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Tight Upper Bounds for Cell Loss Probabilities and Required Bandwidth Estimation in ATM Multiplexers
Author(s) -
Xiaoming Lru,
Liming Liu,
Bensaou Brahim,
Tsang Danny H. K.
Publication year - 1999
Publication title -
european transactions on telecommunications
Language(s) - English
Resource type - Journals
eISSN - 1541-8251
pISSN - 1124-318X
DOI - 10.1002/ett.4460100106
Subject(s) - multiplexer , bandwidth (computing) , asynchronous transfer mode , superposition principle , computer science , bandwidth allocation , upper and lower bounds , multiplexing , mathematical optimization , algorithm , computer network , mathematics , telecommunications , mathematical analysis
Estimating the cell loss probability in an ATM multiplexer is a key issue in network management and traffic control tasks 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. Based on this approximation, a simple algorithm is proposed to estimate accurately the aggregate required bandwidth to guarantee a given cell loss probability. Numerical results and comparisons to alternative approaches are also shown.

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