Transient analysis of tree-Like processes and its application to random access systems
SIGMETRICS '06/Performance '06 Proceedings of the joint international conference on Measurement and modeling of computer systems
Efficient phase-type fitting with aggregated traffic traces
Performance Evaluation
A minimal representation of Markov arrival processes and a moments matching method
Performance Evaluation
Queues in DOCSIS cable modem networks
Computers and Operations Research
Characterization of moments and autocorrelation in MAPs
ACM SIGMETRICS Performance Evaluation Review
Estimating Markov-modulated compound Poisson processes
Proceedings of the 2nd international conference on Performance evaluation methodologies and tools
KPC-Toolbox: best recipes toward automatization of workload fitting
ACM SIGMETRICS Performance Evaluation Review
Markovian arrival process parameter estimation with group data
IEEE/ACM Transactions on Networking (TON)
Trace data characterization and fitting for Markov modeling
Performance Evaluation
KPC-Toolbox: Best recipes for automatic trace fitting using Markovian Arrival Processes
Performance Evaluation
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
Winter Simulation Conference
Correlated phase-type distributed random numbers as input models for simulations
Performance Evaluation
Explicit inverse characterizations of acyclic MAPs of second order
EPEW'06 Proceedings of the Third European conference on Formal Methods and Stochastic Models for Performance Evaluation
An EM algorithm for markovian arrival processes observed at discrete times
MMB&DFT'10 Proceedings of the 15th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
An empirical comparison of MAP fitting algorithms
MMB&DFT'10 Proceedings of the 15th international GI/ITG conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance
A two-phase map fitting method with APH interarrival time distribution
Proceedings of the Winter Simulation Conference
Modelling exogenous variability in cloud deployments
ACM SIGMETRICS Performance Evaluation Review
Local correlation detection with linearity enhancement in streaming data
Proceedings of the 22nd ACM international conference on Conference on information & knowledge management
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This paper proposes a two-step Markov arrival process (MAP) fitting approach, where the first step is the phase type fitting of the inter-arrival time and the second step is the approximation of the first n lag correlation values. Depending on the description of the arrival process to approximate various phase type fitting methods can be applied for the first step. In the second step the approximation of the lag correlation values is computed through a non-linear optimization problem. Numerical examples demonstrate the abilities and the limits of the fitting method.