caa a22 4500 475789741 CHVBK 20180406123708.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1023/A:1019108526325 doi (NATIONALLICENCE)springer-10.1023/A:1019108526325 Rikli Nasser-Eddine Computer Engineering Department, King Saud University, P.O. Box 51178, 11543, Riyadh, Saudi Arabia aut Semi-Markov model for a generalized VBR video in ATM networks [Elektronische Daten] [Nasser-Eddine Rikli] A semi-Markov model describing the performance of an ATM multiplexer with VBR video sources as inputs is presented. The considered system consists of the bit-streams generated by a collection of these sources. The streams which are first separately packetized into fixed size cells, and then, through a statistical multiplexer, join a common queue (assumed to be infinite) where they are served on a FIFO basis by a constant capacity channel. The model to be used is based on the assumption that the video sources operate in two bit-rate modes with unequal average holding times. Each video source is decomposed into an aggregate of two types of ON/OFF mini-sources. Multiplexing a number of such sources leads to a semi-Markov process, which is defined and solved using a phase process with as states the number of active mini-sources of each type. By relating an embedded Markov chain to this phase process, a solution to the resulting queueing system is presented, and the queue length distribution is derived using matrix-geometric techniques. Lastly, results are presented showing that the system performance depends not only on the ratio of the average holding times in the two modes, but also on their magnitudes. Kluwer Academic Publishers, 2000 Telecommunication Systems Kluwer Academic Publishers 13/2-4(2000-07-01), 373-392 1018-4864 13:2-4<373 2000 13 11235 https://doi.org/10.1023/A:1019108526325 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1019108526325 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rikli Nasser-Eddine Computer Engineering Department, King Saud University, P.O. Box 51178, 11543, Riyadh, Saudi Arabia aut NATIONALLICENCE 773 0- Telecommunication Systems Kluwer Academic Publishers 13/2-4(2000-07-01), 373-392 1018-4864 13:2-4<373 2000 13 11235 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer