A histogram-based model for video traffic behavior in an ATM multiplexer
IEEE/ACM Transactions on Networking (TON)
A priority leaky-bucket regulator for virtual path traffic in ATM networks
Computer Communications
Multiplexing of video and data sources in an ATM access network
Computer Communications
Loss performance analysis of an ATM multiplexer loaded with high-speed on-off sources
IEEE Journal on Selected Areas in Communications
Models for Analysis of Packet Voice Communications Systems
IEEE Journal on Selected Areas in Communications
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When nonreal-time sources are multiplexed with real-time sources in an ATM broadband network, the probability distribution of the transmission delay time of nonreal-time traffic cells provides a statistical delay guarantee for this traffic, which is a significant performance parameter of the Quality-of-Service (QoS) of the broadband network. In this paper we develop a stochastic analysis based on a semi-Markov model in order to compute the transmission delay distribution of nonreal-time cells. The nonreal-time sources are characterized as on-off Markov modulated Poison processes, and the real-time sources, like compressed video, are continuous-time Markov chains with multiple states. A priority-based schedule determines a differentiated QoS for each traffic type, and we concentrate the analysis in the transmission queueing process of the nonreal-time cells. This transmission process is modelled with a regenerative semi-Markov process that has a matrix-geometric solution for the limiting distribution of the embedded Markov chain. From the limiting distribution of the continuous-time queueing process, we define a sequence of delay distribution matrices that converges. The limiting distribution matrix of this sequence corresponds to the delay distribution of the nonreal-time cells.