Moments of the queue occupancy in an ATM multiplexer loaded with on/off sources

Author

Slosiar, Rasti

Author_Institution

Lab. de Telecommun., Ecole Polytech. Federale de Lausanne, Switzerland

Volume

2

fYear

1994

fDate

14-18 Nov 1994

Firstpage

754

Abstract

Matrix-analytic techniques based on the discrete-time batch Markovian arrival process (D-BMAP) modeling have been applied to the analysis of ATM multiplexers under correlated input conditions. The former results yield the multiplexer system queue occupancy using the D-BMAP/D/1 queueing system, where the aggregate of a set of homogeneous on/off sources have been modeled as a single D-BMAP. The multiplexer performance is analyzed using the first two moments of the queue distribution, which have a direct impact on the cell end-to-end delay and its variation. We express the functional equation of an infinite-capacity queueing system loaded by a set of homogeneous on/off sources and derive the first two moments of the number of cells in the system. We highlight the relationships between the source parameters, the moments and the boundary probabilities involved

Keywords

Markov processes; asynchronous transfer mode; correlation methods; delays; matrix algebra; multiplexing; multiplexing equipment; probability; queueing theory; telecommunication traffic; ATM multiplexer; D-BMAP; D-BMAP/D/1 queueing system; boundary probabilities; cell end-to-end delay; correlated input conditions; discrete-time batch Markovian arrival process; functional equation; infinite-capacity queueing system; matrix-analytic techniques; multiplexer performance; on/off sources; queue distribution moments; queue occupancy; source parameters; Aggregates; Asynchronous transfer mode; Delay; Equations; Matrix decomposition; Multiplexing; Performance analysis; Queueing analysis; Tail; Traffic control;

fLanguage

English

Publisher

ieee

Conference_Titel

Singapore ICCS '94. Conference Proceedings.

Print_ISBN

0-7803-2046-8

Type

conf

DOI

10.1109/ICCS.1994.474163

Filename

474163