Deriving the tail distribution of the buffer contents in a statistical multiplexer with general heterogeneous on/off sources [chapter]

S. Wittevrongel, H. Bruneel
1998 Performance and Management of Complex Communication Networks  
A statistical multiplexer with a finite number of independent heterogeneous bursty ttafflc sources is considered in this paper. Each source stochastically alternates between on-periods. during which it generates one cell per slot, and off-periods. during which no cells are generated. The on-periods and the off-periods are assumed to be independent. but are allowed to have general distributions. The discrete-time queueing model we thus obtain is analyzed using a generating-functions approach
more » ... lting in an accurate geometric approximation for the tail distribution of the buffer contents. The results of the study are applied to investigate the influence of the nature of the distributions of the on-periods and the off-periods of the sources on the multiplexer perfonnance.
doi:10.1007/978-0-387-35360-9_2 fatcat:uk5mbtdlxfhftecaewldlqcac4