Packet delay and queue length for statistical multiplexers with low-speed access lines
Computer Networks and ISDN Systems
Delay, jitter and threshold crossing in ATM systems with dispersed messages
Performance Evaluation
Internet Web servers: workload characterization and performance implications
IEEE/ACM Transactions on Networking (TON)
Correlation effects in ATM queues due to data format conversions
Performance Evaluation
Applied Mathematics and Computation
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
The distribution of delays of dispersed messages in an M/M/1 queue
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 1)-Volume - Volume 1
System Content and Packet Delay in Discrete-Time Queues with Session-Based Arrivals
ITNG '08 Proceedings of the Fifth International Conference on Information Technology: New Generations
Modeling Web Server Traffic with Session-Based Arrival Streams
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
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Session-based arrival streams are a new approach for modelling the traffic generated by users in a telecommunication network. In this paper, we analyze the behavior of a discrete-time buffer with one output line, an infinite storage capacity and session-based arrivals. Users from an infinite user population can start and end sessions during which they are active and send packets to the buffer. Each active user generates a random but strictly positive number of packets per time slot. Unlike in previous work, there are T different session types and for each type, the session-length distribution is general. The resulting discrete-time queueing model is analyzed by means of an analytical technique, which is basically a generating-functions approach that uses an infinite-dimensional state description. Expressions are obtained for the steady-state probability generating functions of both the buffer content and the packet delay. From these, the mean values and the tail distributions of the buffer content and the packet delay are derived as well. Some numerical examples are shown to illustrate the influence of the session-based packet arrival process on the buffer behavior.