On the asymptotic behavior of heterogeneous statistical multiplexer with applications
- 1 January 1992
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
The author combines a heterogeneous statistical multiplexer in heavy traffic with different characteristics in discrete time which is representative of the asynchronous transfer mode (ATM) environment at the cell level. An exact formulation of the queuing model for the multiplexer is presented. Using spectral decomposition method and asymptotic analysis, it is shown that for fixed source average utilization and peak rate, as the burst size of the individual sources increase the tail behavior of the distribution of the number of cells queued in the multiplexer has a simple characterization. This characterization provides a simple approximation of the queuing behavior of the multiplexer, where the impact of each source is quite evident. The accuracy of this approximation is examined. Some applications are considered where both buffer sizing and admission control are discussed.Keywords
This publication has 12 references indexed in Scilit:
- On buffer dimensions and static rate-control in broadband ATM networksPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A call admission control for ATM networks based on individual multiplexed traffic characteristicsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A call admission control scheme in ATM networksPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- An effective algorithm to calculate the distribution of the buffer contents and the packet delay in a multiplexer with bursty sourcesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- The superposition of variable bit rate sources in an ATM multiplexerIEEE Journal on Selected Areas in Communications, 1991
- Equivalent capacity and its application to bandwidth allocation in high-speed networksIEEE Journal on Selected Areas in Communications, 1991
- Multimedia traffic management principles for guaranteed ATM network performanceIEEE Journal on Selected Areas in Communications, 1990
- Resource allocation for broadband networksIEEE Journal on Selected Areas in Communications, 1988
- Stochastic Theory of a Data-Handling System with Multiple SourcesBell System Technical Journal, 1982
- Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous serversProbability Theory and Related Fields, 1981