The impact of autocorrelation on queuing systems
Management Science
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
Proceedings of the 30th conference on Winter simulation
Input modeling with the Johnson system of distributions
WSC '88 Proceedings of the 20th conference on Winter simulation
Simulation Modeling and Analysis
Simulation Modeling and Analysis
Time Series Analysis, Forecasting and Control
Time Series Analysis, Forecasting and Control
Performance Evaluation of Complex Systems: Techniques and Tools, Performance 2002, Tutorial Lectures
Numerical Methods for Fitting and Simulating Autoregressive-To-Anything Processes
INFORMS Journal on Computing
Automatic ARIMA Time Series Modeling for Adaptive I/O Prefetching
IEEE Transactions on Parallel and Distributed Systems
Fitting Time-Series Input Processes for Simulation
Operations Research
A Novel Approach for Fitting Probability Distributions to Real Trace Data with the EM Algorithm
DSN '05 Proceedings of the 2005 International Conference on Dependable Systems and Networks
QEST '05 Proceedings of the Second International Conference on the Quantitative Evaluation of Systems
Correlation bounds for second-order MAPs with application to queueing network decomposition
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
Dependence modeling for stochastic simulation
WSC '04 Proceedings of the 36th conference on Winter simulation
Self-Similar Processes in Telecommunications
Self-Similar Processes in Telecommunications
Introduction to modeling and generating probabilistic input processes for simulation
Proceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come
Software for Data Analysis: Programming with R
Software for Data Analysis: Programming with R
Evaluation of the ARTAFIT Method for Fitting Time-Series Input Processes for Simulation
INFORMS Journal on Computing
Autoregressive to anything: Time-series input processes for simulation
Operations Research Letters
Simulating stochastic processes with OMNeT++
Proceedings of the 4th International ICST Conference on Simulation Tools and Techniques
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The adequate modeling of input processes often requires that correlation is taken into account and is a key issue in building realistic simulation models. In analytical modeling Markovian Arrival Processes (MAPs) are commonly used to describe correlated arrivals, whereas for simulation often ARMA/ARTA-based models are in use. Determining the parameters for the latter input models is well-known whereas good fitting methods for MAPs have been developed only in recent years. Since MAPs may as well be used in simulation models, it is natural to compare them with ARMA/ARTA models according to their expressiveness and modeling capabilities for dependent sequences. In this paper we experimentally compare MAPs and ARMA/ARTA-based models.