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- W1590070737 abstract "Important efforts have been invested to characterize the performance of an ATM multiplexer system loaded with a set of superimposed ON/OFF sources, since this ON/OFF source model has been extensively used as a coarse approximation of variable bitrate services (e.g. shaped LAN traffic). Literature exists on approximations for queueing systems, in which a large number of superimposed sources is considered, and replaced by a more tractable aggregate model. In this contribution, the focus is set on a discrete-time technique related to exact results for the ON-OFF[N]/D/1 queueing system with infinite queueing capacity for the superposition of a small number of such sources. The discrete-time batch Markovian arrival process (D-BMAP) Queue Input Process (QIP) is first introduced. Complete solutions for the D-BMAP/D/1 queueing system with normalised service time are provided in terms of the system occupancy distribution, its moments, the sojourn time distribution and its moments. A proposal for expressing an aggregate of ON/OFF sources QIP as a D-BMAP is then formulated, and the sparsity of the matrices and vectors highlighted. Finally, the degenerate cases corresponding to no multiplexing gain (“underload” case), the superposition of two-state Markov sources (2SM) and Bernoulli sources are handled, and closed form expressions for the moments provided." @default.
- W1590070737 created "2016-06-24" @default.
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- W1590070737 date "1995-01-01" @default.
- W1590070737 modified "2023-10-03" @default.
- W1590070737 title "Exact Results for an ATM Multiplexer with Infinite Queue Loaded with Batch Markovian Arrivals" @default.
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- W1590070737 doi "https://doi.org/10.1007/978-0-387-34881-0_16" @default.
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