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- W204875396 abstract "We obtain upper bounds on the probability of buffer overflow for an ATM multiplexer of L identical packetized voice sources. The multiplexer is modelled by a FCFS single server queue. The arrivals at the multiplexer are a homogenous superposition of the arrivals from L independent identical sources, with each source modelled by a copy of a discrete time Markov Chain which we call the Cell Level Model. Throughout, appropriate parameters are scaled with L, to maintain a constant load over all superposition sizes.The probability that, the queue-length (q^) of the queue in a finite buffer exceeds the buffer size b, is bounded above by the probability that the queue-length (qL) of the queue m an infinite buffer exceeds length b In order to bound the former above, we find upper bounds or approximations for the latter by using the theory of,• Large Deviations, to determine its asymptotics for large b,• Martingales, to obtain upper bounds, valid for all positive b,• Large Deviations, to determine its asymptotics for large L for time rescaled(proportional to L) arrival processes.These demonstrate the multiplexing gam and economies of scale obtainable from large and small buffers and large multiplexers, respectively." @default.
- W204875396 created "2016-06-24" @default.
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- W204875396 date "1999-01-01" @default.
- W204875396 modified "2023-09-27" @default.
- W204875396 title "Estimation of buffer overflow probabilities and economies of scale in ATM multiplexers by analysis of a model of packetized voice traffic" @default.
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