On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
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
IEEE/ACM Transactions on Networking (TON)
A new heavy-tailed discrete distribution for LRD M/G/∞ sample generation
Performance Evaluation
Tail probabilities for M/G/\infty input processes (I): Preliminary asymptotics
Queueing Systems: Theory and Applications
Activity periods of an infinite server queue and performance of certain heavy tailed fluid queues
Queueing Systems: Theory and Applications
Small and Large Time Scale Analysis of a Network Traffic Model
Queueing Systems: Theory and Applications
M|G|Infinity Input Processes: A Versatile Class of Models for Network Traffic
INFOCOM '97 Proceedings of the INFOCOM '97. Sixteenth Annual Joint Conference of the IEEE Computer and Communications Societies. Driving the Information Revolution
Queueing Systems: Theory and Applications
General applications 1: a highly efficient M/G/∞ model for generating self-similar traces
Proceedings of the 34th conference on Winter simulation: exploring new frontiers
Queueing Systems: Theory and Applications
Using the Whittle Estimator for the Selection of an Autocorrelation Function Family
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
On the discrete-time g/gi/∞ queue*
Probability in the Engineering and Informational Sciences
Fast simulation of self-similar and correlated processes
Mathematics and Computers in Simulation
Analysis of the distribution of the statistic of a test for discriminating correlated processes
NEW2AN'11/ruSMART'11 Proceedings of the 11th international conference and 4th international conference on Smart spaces and next generation wired/wireless networking
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We explore M/G/∞ systems 'fed' by Poissonianinflows with infinite arrival rates. Three processes ---corresponding to the system's state, workload, andqueue-size --- are studied and analyzed. Closed formformulae characterizing the system's stationary structureand correlation structure are derived. And, the issues ofqueue finiteness, workload summability, and Long Range Dependenceare investigated.We then turn to devise a 'reverse engineering' scheme forthe design of the system's correlation structure. Namely: how toconstruct an M/G/∞ system with a pre-desired'target' workload/queue auto-covariance function. The 'reverseengineering' scheme is applied to various examples, including oneswith infinite queues and non-summable workloads.