Performance analysis of statistical multiplexing of VBR sources
IEEE INFOCOM '92 Proceedings of the eleventh annual joint conference of the IEEE computer and communications societies on One world through communications (Vol. 2)
Adventures in stochastic processes
Adventures in stochastic processes
The Markov-modulated Poisson process (MMPP) cookbook
Performance Evaluation
ATM: theory and application
Loss performance analysis of an ATM multiplexer loaded with high-speed on-off sources
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
Characterizing Superposition Arrival Processes in Packet Multiplexers for Voice and Data
IEEE Journal on Selected Areas in Communications
Architecture, performance, and implementation of the tandem banyan fast packet switch
IEEE Journal on Selected Areas in Communications
Practical implementation and packaging technologies for a large-scale ATM switching system
IEEE Journal on Selected Areas in Communications
Queueing Systems: Theory and Applications
Traffic splitting in a network: split traffic models and applications
Computer Communications
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The cell loss probability and the mean cell delay are major performance metrics in analyzing a statistical multiplexer loaded with a superposition of independent and heterogeneous bursty sources. In this paper, we model each arrival process by a two-state discrete-time Markovian arrival process (D-MAP). We discuss that this traffic modeling is more realistic than the other ones in ATM networks. Then we model the superposition of r types of the two-state D-MAPs into a discrete-time batch Markovian arrival process (D-BMAP) with 2^r states. By using the steady-state analysis of the D-BMAP/D/1/K queueing model, we obtain the exact cell loss probabilities and the mean cell delays for each type of traffic in the statistical multiplexer. In particular, we derive the formulas concerned with these performance metrics under two buffer access strategies of the simultaneous cell arrivals at the same slot: (1) fair access, and (2) priority access. From some numerical examples, we show that the performance of each traffic at the statistical multiplexer may be severely affected by its own traffic characteristics and priority of buffer access, as well as the traffic characteristics of the others.