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The article discusses the use of the diffusion approximation in transient analysis of queueing models applied to investigate some aspects of Internet transmissions. In classical queuing theory, the analysis of transient states is complex and practically does not go far beyond M/M/1 queue and its modifications. However, the time dependent flows in computer networks and especially in Internet focus...
The article makes a contribution to QoS of service models discussing the way the performance of priority disciplines may be studied under assumption of time-dependent and correlated traffic. First we present how self-similar traffic is introduced to diffusion approximation models and then we apply this approach in case of priority queues. Diffusion approximation allows us to include in queueing models...
A new approach for signal expansion with respect to hybrid dictionaries, based upon probabilistic modeling is proposed and studied. The signal is modeled as a sparse linear combination of waveforms, taken from the union of two orthonormal bases, with random coefficients. The behavior of the analysis coefficients, namely inner products of the signal with all basis functions, is studied in details,...
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