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A comparison between several adjustment models to simulated teletraffic data. (English) Zbl 1141.90012

Summary: We assess the suitability of the fractional Brownian motion and the Markovian modulated Poisson process to represent modern teletraffic data when we use them in dimensioning and quality of service studies. The procedure consists in adjusting a model of each family to a stream of data simulated with a physical model that emulates the real flow of data. Then, both models are profusely studied in order to establish which properties of the original data are captured.

MSC:

90B18 Communication networks in operations research
90C40 Markov and semi-Markov decision processes
60K30 Applications of queueing theory (congestion, allocation, storage, traffic, etc.)
65C99 Probabilistic methods, stochastic differential equations
60K25 Queueing theory (aspects of probability theory)
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