The Markov-modulated Poisson process (MMPP) cookbook
Performance Evaluation
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
An EM algorithm for estimation in Markov-modulated Poisson processes
Computational Statistics & Data Analysis
New models for pseudo self-similar traffic
Performance Evaluation - Special issue on applied probability modelling in telecommunication
Data networks as cascades: investigating the multifractal nature of Internet WAN traffic
Proceedings of the ACM SIGCOMM '98 conference on Applications, technologies, architectures, and protocols for computer communication
Estimating the heavy tail index from scaling properties
Methodology and Computing in Applied Probability
Time Series Analysis: Forecasting and Control
Time Series Analysis: Forecasting and Control
Heavy Tails: The Effect of the Service Discipline
TOOLS '02 Proceedings of the 12th International Conference on Computer Performance Evaluation, Modelling Techniques and Tools
PhFit: A General Phase-Type Fitting Tool
TOOLS '02 Proceedings of the 12th International Conference on Computer Performance Evaluation, Modelling Techniques and Tools
A Validation of the Pseudo Self-Similar Traffic Model
DSN '02 Proceedings of the 2002 International Conference on Dependable Systems and Networks
Acyclic discrete phase type distributions: properties and a parameter estimation algorithm
Performance Evaluation
A multifractal wavelet model with application to network traffic
IEEE Transactions on Information Theory
A Markovian approach for modeling packet traffic with long-range dependence
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
The pseudo-self-similar traffic model: application and validation
Performance Evaluation - Dependable systems and networks-performance and dependability symposium (DSN-PDS) 2002: Selected papers
A Novel Approach for Phase-Type Fitting with the EM Algorithm
IEEE Transactions on Dependable and Secure Computing
Design and evaluation of web proxies by leveraging self-similarity of web traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Network modelling and simulation
Efficient phase-type fitting with aggregated traffic traces
Performance Evaluation
State-space reduction in the model of Access Control Lists in IP routers
International Journal of Internet Protocol Technology
Bound analysis of closed queueing networks with workload burstiness
SIGMETRICS '08 Proceedings of the 2008 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
KPC-Toolbox: best recipes toward automatization of workload fitting
ACM SIGMETRICS Performance Evaluation Review
Analysis of opportunistic spectrum sharing with Markovian arrivals and phase-type service
IEEE Transactions on Wireless Communications
Trace data characterization and fitting for Markov modeling
Performance Evaluation
Memory efficient analysis for a class of large structured Markov chains: work in progress
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
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
Building accurate workload models using Markovian arrival processes
Proceedings of the ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Winter Simulation Conference
Building accurate workload models using Markovian arrival processes
ACM SIGMETRICS Performance Evaluation Review - Performance evaluation review
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
Simulating stochastic processes with OMNeT++
Proceedings of the 4th International ICST Conference on Simulation Tools and Techniques
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
Analysis of bursty workload-aware self-adaptive systems
ICPE '12 Proceedings of the 3rd ACM/SPEC International Conference on Performance Engineering
Bandwidth allocation under end-to-end percentile delay bounds
International Journal of Network Management
QoS and energy management with Petri nets: A self-adaptive framework
Journal of Systems and Software
Traffic modeling with a combination of phase-type distributions and ARMA processes
Proceedings of the Winter Simulation Conference
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In order to support the effective use of telecommunication infrastructure, the "random" behavior of traffic sources has been studied since the early days of telephony. Strange new features, like fractal like behavior and heavy tailed distributions were observed in high speed packet switched data networks in the early '90s. Since that time a fertile research aims to find proper models to describe these strange traffic features and to establish a robust method to design, dimension and operate such networks.In this paper we give an overview of methods that, on the one hand, allow us to capture important traffic properties like slow decay rate, Hurst parameter, scaling factor, etc., and, on the other hand, makes possible the quantitative analysis of the studied systems using the effective analysis approach called matrix geometric method.The presentation of this analysis approach is associated with a discussion on the properties and limits of Markovian fitting of the typical non-Markovian behavior present in telecommunication networks.