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

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...

Full description

Saved in:
Bibliographic Details
Published inProceedings of ICCS '94 Vol. 2; pp. 754 - 759 vol.2
Main Author Slosiar, R.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1994
Subjects
Aggregates
Asynchronous transfer mode
Delay
Equations
Matrix decomposition
Multiplexing
Performance analysis
Queueing analysis
Tail
Traffic control
Online AccessGet full text

Cover

More Information
Summary: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.< >
ISBN:0780320468
9780780320468
DOI:10.1109/ICCS.1994.474163