Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Self-similarity in World Wide Web traffic: evidence and possible causes
Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Transient behaviour of queueing systems with correlated traffic
Performance Evaluation
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
Mathematics of Operations Research
An MAP-Based Poisson cluster model for web traffic
Performance Evaluation
Proceedings of the 3rd ACM SIGCOMM conference on Internet measurement
Modeling teletraffic arrivals by a Poisson cluster process
Queueing Systems: Theory and Applications
Fast, memory efficient flow rate estimation using runs
IEEE/ACM Transactions on Networking (TON)
Cluster processes: a natural language for network traffic
IEEE Transactions on Signal Processing
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In this paper, we investigated a Poisson cluster process as runs of packet arrivals on the Internet. This model assumes that the Poisson cluster process is characterized by runs of packets which correspond to defined clusters in the Poisson process. Using the form of the length runs we studied the probability of a general number of cluster runs in the data stream. We illustrated how the obtained results can be used for the analysis of the real-life Internet traffic.