Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates
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
SIGMETRICS '97 Proceedings of the 1997 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
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We develop exact models to analyze the performance of several types and grades of data, voice and video sessions over a cable or DSL-based access network. Each session is characterized by a minimum guaranteed data-rate and a maximum allowed data-rate. Sessions would normally transmit at the maximum rate but under congestion some or all sessions would see graceful rate degradation. For each class the blocking probability, the average data-rate attained by a session, the probability that the attained data-rate exceeds a certain target value, and the data-rate that is exceeded a certain target percent of the time are computed. In addition, a system-wide probability of data-rate degradation is also computed. A bufferless model with product-form structure and insensitivity to session holding time distribution except through mean (heavy-tailed distributions are allowed), and a buffered model with standard Markov chain structure are developed. The models are also generalized to allow data-rate degradation of real-time streaming traffic (e.g., switch from G.711 to G.728 encoding or turn on silence suppression) whenever the total bandwidth usage exceeds a certain threshold. Whenever a model is sensitive to session holding time distribution, that sensitivity is studied through simulations. Several numerical examples are given to illustrate the use of the models in providing quality of service mechanisms over the "last mile" of access.