Approximation of discrete phase-type distributions

Proceedings - Simulation Symposium

Volumn , Issue , 2005, Pages 99-106

  Isensee, Claudia ^a   Horton, Graham ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE STOCHASTIC MODELS; DISTRIBUTION FUNCTIONS; PROXEL-BASED SIMULATION; STATE SPACE-BASED METHODS;

APPROXIMATION THEORY; FUNCTIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; PETRI NETS; PROBLEM SOLVING; STOCHASTIC CONTROL SYSTEMS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 27544492898     PISSN: 1080241X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ANSS.2005.12     Document Type: Conference Paper

References (14)

1. K. Atkinson. An Introduction to Numerical Analysis. John Wiley & Sons, 1989.
2. M. A. Bhatti. Practical Optimization Methods, chapter Augmented Lagrange Penalty Function, pages 590-608. Springer Verlag, 2000.
3. A. Bobbio and A. Cumani. Ml estimation of the parameters of a ph distribution in triangular canonical form. In G. Balbo and G. Serazzi, editors, Computer Performance Evaluation. Elsevier Science Publishers, 1992.
4. A. Bobbio, A. Horváth, M. Scarpa, and M. Telek. Acyclic discrete phase-type distributions: Properties and a parameter estimation algorithm. Performance Evaluation, 54(1): 1-32, 2003.
5. A. Bobbio, A. Horváth, and M. Telek. The scale factor: A new degree of freedom in phase type approximation. In Proc. of 3rd International Performance & Dependability Symposium (IPDS '02), June 2002.
6. A. Bobbio and M. Telek. A benchmark for ph estimation algorithms: Results for acyclic-ph. stochastic models. Stochastic Models, 10:661-667, 1994.
7. G. Horton. A new paradigm for the numerical simulation of stochastic petri nets with general firing times. In Proceedings of the European Simulation Symposium 2002. SCS European Publishing House, 2002.
8. A. Horváth and M. Telek. Phfit: A general phase-type fitting tool. In Proc. of 12th Performance TOOLS, April 2002. Lecture Notes in Computer Science 2324.
9. C. Isensee, S. Lazarova-Molnar, and G. Horton. Combining proxels and discrete phases. In Proceedings of ICMSAO, February 2005.
10. S. Lazarova-Molnar and G. Horton. Proxel-based simulation of stochastic petri nets. In Simulation und Visualisierung 2004. SCS European Publishing House, 2004.
11. M. F. Neuts. Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach. The John Hopkins University Press, Baltimore, 1981.
12. M. Olsson. The empht-programme. Technical report, Department of Mathematics, Chalmers University of Technology, and Göteborg University, Sweden, 1998.
13. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. Numerical recipes in C, Second Edition. Cambridge University Press, 1992.
14. H. Shekarforoush, M. Berthod, and J. Zerubia. Direct search generalized simplex algorithm for optimizing nonlinear functions. Technical report, INRIA, France, 1995.