The impact of autocorrelation on queuing systems
Management Science
Queue response to input correlation functions: discrete spectral analysis
IEEE/ACM Transactions on Networking (TON)
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)
Experimental queueing analysis with long-range dependent packet traffic
IEEE/ACM Transactions on Networking (TON)
IEEE/ACM Transactions on Networking (TON)
IEEE/ACM Transactions on Networking (TON)
Fast, approximate synthesis of fractional Gaussian noise for generating self-similar network traffic
ACM SIGCOMM Computer Communication Review
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
On the use of self-similar processes in network simulation
ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on modeling and simulation of communication networks
Modeling heterogeneous network traffic in wavelet domain
IEEE/ACM Transactions on Networking (TON)
A new heavy-tailed discrete distribution for LRD M/G/∞ sample generation
Performance Evaluation
Queueing at large resources driven by long-tailed M/G/\infty-modulated processes
Queueing Systems: Theory and Applications
Small and Large Time Scale Analysis of a Network Traffic Model
Queueing Systems: Theory and Applications
How heavy-tailed distributions affect simulation-generated time averages
ACM Transactions on Modeling and Computer Simulation (TOMACS)
The M/G/∞ system revisited: finiteness, summability, long range dependence, and reverse engineering
Queueing Systems: Theory and Applications
An empirical comparison of generators for self similar simulated traffic
Performance Evaluation
On the discrete-time g/gi/∞ queue*
Probability in the Engineering and Informational Sciences
On fast generation of fractional Gaussian noise
Computational Statistics & Data Analysis
Extending self-similarity for fractional Brownian motion
IEEE Transactions on Signal Processing
Wavelet analysis of long-range-dependent traffic
IEEE Transactions on Information Theory
A multifractal wavelet model with application to network traffic
IEEE Transactions on Information Theory
On improving the efficiency of an M/G/∞ generator of correlated traces
Operations Research Letters
A Pareto-modulated Poisson process (PMPP) model for long-range dependent traffic
Computer Communications
Study of the impact of MPEG-1 correlations on video-sources statistical multiplexing
IEEE Journal on Selected Areas in Communications
Modeling video traffic using M/G/∞ input processes: a compromise between Markovian and LRD models
IEEE Journal on Selected Areas in Communications
On the use of fractional Brownian motion in the theory of connectionless networks
IEEE Journal on Selected Areas in Communications
On improving fairness and providing proportional loss differentiation in OBS networks
IEEE Communications Letters
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
Model selection for long-memory processes in the spectral domain
Computer Communications
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Simulations with long-range dependent or self-similar input processes are hindered both by the slowness of convergence displayed by the output data and by the high computational complexity of the on-line methods for generating the input process. In this paper, we present optimized algorithms for simulating efficiently the occupancy process of a M/G/~ system, which can be used as a sequential pseudo-random number generator of a broad class of self-similar and correlated sample-paths. We advocate the use of this approach in the simulation toolbox, as a simple method to overcome the drawbacks of other synthetic generators of Gaussian self-similar time series. Our approach to fast simulation of the M/G/~ model is the decomposition of the service time distribution as a linear combination of deterministic and memoryless random variables, plus a residual term. Then, the original M/G/~ system is replaced by a number of parallel, independent, virtual and easier to simulate M/G/~ subsystems, the dynamics of which can be replicated sequentially or in parallel too. We report the results of several experiments demonstrating the substantial improvements attainable with this decomposition.