DISCRETE DETERMINISTIC AND STOCHASTIC PETRI NETS
DISCRETE DETERMINISTIC AND STOCHASTIC PETRI NETS
Performance Evaluation of Complex Systems: Techniques and Tools, Performance 2002, Tutorial Lectures
The scale factor: a new degree of freedom in phase-type approximation
Performance Evaluation - Dependable systems and networks-performance and dependability symposium (DSN-PDS) 2002: Selected papers
Approximation of Discrete Phase-Type Distributions
ANSS '05 Proceedings of the 38th annual Symposium on Simulation
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
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
jPhase: an object-oriented tool for modeling phase-type distributions
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
Efficient phase-type fitting with aggregated traffic traces
Performance Evaluation
Self-similar simulation of IP traffic for wireless networks
International Journal of Mobile Network Design and Innovation
Completed analysis of cellular networks with PH-renewal arrival call
Computer Communications
IEEE Transactions on Information Theory
Modeling and simulation of self-similar wireless IP network traffic
WTS'09 Proceedings of the 2009 conference on Wireless Telecommunications Symposium
True state-space complexity prediction: by the proxel-based simulation method
IIT'09 Proceedings of the 6th international conference on Innovations in information technology
Sequence discrimination using phase-type distributions
ECML'06 Proceedings of the 17th European conference on Machine Learning
A precedence PEPA model for performance and reliability analysis
EPEW'06 Proceedings of the Third European conference on Formal Methods and Stochastic Models for Performance Evaluation
On moments of discrete phase-type distributions
EPEW'05/WS-FM'05 Proceedings of the 2005 international conference on European Performance Engineering, and Web Services and Formal Methods, international conference on Formal Techniques for Computer Systems and Business Processes
An efficient MCMC algorithm for continuous ph distributions
Proceedings of the Winter Simulation Conference
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This paper provides a detailed study on discrete phase type (DPH) distributions and its acyclic subclass referred to as acyclic-DPH (ADPH). Previously not considered similarities and differences between DPH and continuous phase type (CPH) distributions are investigated and minimal representations, called canonical forms, for the subclass of ADPH distributions are provided. We investigate the consequences of the recent result about the minimal coefficient of variation of the DPH class [The minimal coefficient of variation of discrete phase type distributions, in: Proceedings of the Third International Conference on Matrix-analytic Methods in Stochastic Models, July 2000] and show that below a given order (that is a function of the expected value) the minimal coefficient of variation of the DPH class is always less than the minimal coefficient of variation of the CPH class. Since all the previously introduced Phase Type fitting methods were designed for fitting over the CPH class we provide a DPH fitting method for the first time. The implementation of the DPH fitting algorithm is found to be simple and stable. The algorithm is tested over a benchmark consisting of 10 different continuous distributions. The error resulted when a continuous distribution sampled in discrete points is fitted by a DPH is also considered.