Correlated phase-type distributed random numbers as input models for simulations

Performance Evaluation

Volumn 68, Issue 11, 2011, Pages 1247-1260

  Kriege, Jan ^a   Buchholz, Peter ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

Input modeling; Simulation; Stochastic processes

Indexed keywords

CORRELATION STRUCTURE; DISTRIBUTED DATA; EXTENDED MODEL; FITTING ALGORITHMS; IN-BUILDINGS; INPUT MODELING; INPUT MODELS; MARGINAL DISTRIBUTION; PHASE TYPE DISTRIBUTIONS; RANDOM NUMBERS; REAL NETWORKS; SIMULATION; SIMULATION MODEL; STOCHASTIC PROCESS;

RANDOM PROCESSES; STOCHASTIC MODELS;

COMPUTER SIMULATION;

EID: 80053354378     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2011.07.014     Document Type: Conference Paper

References (35)

1. V. Paxson, and S. Floyd Wide-area traffic: the failure of Poisson modeling IEEE/ACM Trans. Netw. 3 1995 226 244
2. A. Riska, and E. Riedel Long-range dependence at the disk drive level QEST 2006 41 50 (Pubitemid 351424336)
3. K. Goseva-Popstojanova, and K.S. Trivedi Effects of failure correlation on software in operation PRDC 2000 69 76
4. A.M. Law, and W.D. Kelton Simulation Modeling and Analysis 3rd ed. 2000 McGraw-Hill Boston
5. G. Casale, N. Mi, and E. Smirni Bound analysis of closed queueing networks with workload burstiness Z. Liu, V. Misra, P.J. Shenoy, SIGMETRICS 2008 ACM 13 24
6. M. Livny, B. Melamed, and A.K. Tsiolis The impact of autocorrelations in queuing systems Manage. Sci. 39 1993 322 339
7. G.E.P. Box, and G.M. Jenkins Time Series AnalysisForecasting and Control 1970 Holden-Day
8. B. Biller, and B.L. Nelson Evaluation of the ARTAFIT method for fitting times-series input processes for simulation INFORMS J. Comput. 20 3 2008 485 498
9. M.C. Cario, and B.L. Nelson Autoregressive to anything: time-series input processes for simulation Oper. Res. Lett. 19 2 1996 51 58 (Pubitemid 126395003)
10. B. Biller, and B.L. Nelson Fitting time-series input processes for simulation Oper. Res. 53 3 2005 549 559 (Pubitemid 41342355)
11. M.C. Cario, and B.L. Nelson Numerical methods for fitting and simulating autoregressive-to-anything processes INFORMS J. Comput. 10 1 1998 72 81 (Pubitemid 128666518)
12. M.F. Neuts A versatile Markovian point process J. Appl. Probab. 16 1979 764 779
13. M.F. Neuts Matrix-Geometric Solutions in Stochastic Models 1981 Johns Hopkins University Press
14. S. Asmussen, and C.A. O'Cinneide Matrix-exponential distributionsdistributions with a rational Laplace transform S. Kotz, C. Read, Encyclopedia of Statistical Sciences 1997 John Wiley & Sons New York 435 440
15. S. Asmussen, O. Nerman, and M. Olsson Fitting phase-type distributions via the EM-algorithm Scand. J. Stat. 23 4 1996 419 441 (Pubitemid 126407689)
16. P. Buchholz, and J. Kriege A heuristic approach for fitting MAPs to moments and joint moments Proc. of 6th International Conference on Quantitative Evaluation of Systems QEST09 2009 IEEE
17. A. Thmmler, P. Buchholz, and M. Telek A novel approach for phase-type fitting with the EM algorithm IEEE Trans. Dependable Secure Comput. 3 3 2006 245 258 (Pubitemid 44304211)
18. G. Casale, E.Z. Zhang, and E. Smirni Trace data characterization and fitting for Markov modeling Perform. Eval. 67 2 2010 61 79
19. G. Horváth, M. Telek, and P. Buchholz A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag-correlation QEST 2005 IEEE CS Press 124 133
20. L. Devroye Non-Uniform Random Variate Generation 1986 Springer New York
21. W. Leland, M. Taqqu, W. Willinger, and D. Wilson On the self-similar nature of ethernet traffic IEEE/ACM Trans. Netw. 2 1 1994 1 15
22. J. Kriege, and P. Buchholz An empirical comparison of MAP fitting algorithms Proceedings of MMB & DFT 2010 LNCS vol. 5987 2010 Springer 259 273
23. R.E. Wheeler Quantile estimators of Johnson curve parameters Biometrika 67 3 1980
24. F. Bause, P. Buchholz, and J. Kriege ProFiDoThe Processes Fitting Toolkit Dortmund QEST 2010 IEEE Computer Society 87 96
25. A. Cumani On the canonical representation of homogeneous Markov processes modeling failure-time distributions Microelectron. Reliab. 22 3 1982 583 602
26. Z. Drezner, and G.O. Wesolowsky On the computation of the bivariate normal integral J. Stat. Comput. Simul. 35 1990 101 107
27. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery Numerical Recipes in CThe Art of Scientific Computing 2nd ed. 1993 Cambridge University Press
28. P.J. Brockwell, and R.A. Davis Time Series: Theory and Methods 2nd ed. 1998 Springer
29. Y.L. Tong The Multivariate Normal Distribution Springer Series in Statistics 1990 Springer-Verlag New York
30. J.A. Nelder, and R. Mead A simplex method for function minimization Comput. J. 7 1965 308 313
31. J.C. Nash Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation 2nd ed. 1990 Adam Hilger
32. J.L. Devore Probability and Statistics for Engineering and the Sciences 7th ed. 2008 Thomson
33. P. Buchholz An EM-algorithm for MAP fitting from real traffic data Computer Performance Evaluation/TOOLS 2003 218 236
34. B. Biller, and B.L. Nelson Modeling and generating multivariate time-series input processes using a vector autoregressive technique ACM Trans. Model. Comput. Simul. 13 3 2003 211 237
35. B. Biller Copula-based multivariate input models for stochastic simulation Oper. Res. 57 4 2009 878 892