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Juan A. Carrasco, "Transient Analysis of Some Rewarded Markov Models Using Randomization with Quasistationarity Detection," IEEE Transactions on Computers, vol. 53, no. 9, pp. 11061120, September, 2004.  
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@article{ 10.1109/TC.2004.68, author = {Juan A. Carrasco}, title = {Transient Analysis of Some Rewarded Markov Models Using Randomization with Quasistationarity Detection}, journal ={IEEE Transactions on Computers}, volume = {53}, number = {9}, issn = {00189340}, year = {2004}, pages = {11061120}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.2004.68}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Computers TI  Transient Analysis of Some Rewarded Markov Models Using Randomization with Quasistationarity Detection IS  9 SN  00189340 SP1106 EP1120 EPD  11061120 A1  Juan A. Carrasco, PY  2004 KW  Rewarded continuoustime Markov chains KW  transient analysis KW  randomization KW  quasistationary distribution. VL  53 JA  IEEE Transactions on Computers ER   
[1] Handbook of Mathematical Functions, M. Abramowitz and I.A. Stegun, eds. Dover, 1965.
[2] C. Béounes, M. Aguéra, J. Arlat, S. Bachman, C. Bourdeau, J.E. Doucet, K. Kanoun, J.C. Laprie, S. Metge, J. Moreira de Souza, D. Powell, and P. Spiesser, “SURF2: A Program for Dependability Evaluation of Complex Hardware and Software Systems” Proc. 23rd IEEE Int'l Symp. FaultTolerant Computing, pp. 668673, Toulouse, France, 1993.
[3] P.N. Bowerman, R.G. Nolty, and E.M. Scheuer, “Calculation of the Poisson Cumulative Distribution Function,” IEEE Trans. Reliability, vol. 39, pp. 158161, 1990.
[4] J.A. Carrasco, Transient Analysis of Large Markov Models with Absorbing States Using Regenerative Randomization Technical Report DMSD_99_2, Universitat Politécnica de Catalunya, Feb. 1999, ftp://ftpeel.upc.estechreports.
[5] J.A. Carrasco, Computation of Bounds for Transient Measures of Large Rewarded Markov Models Using Regenerative Randomization Computers and Operations Research, vol. 30, pp. 10051035, June 2003.
[6] J.A. Carrasco, Computationally Efficient and Numerically Stable Reliability Bounds for Repairable FaultTolerant Systems IEEE Trans. Computers, vol. 51, no. 3, pp. 254268, Mar. 2002.
[7] J.A. Carrasco, Markovian Dependability/Performability Modeling of FaultTolerant Systems Reliability Eng. Handbook, H. Pham, ed., pp. 613642, SpringerVerlag, 2003.
[8] G. Ciardo, J. Muppala, and K. Trivedi, SPNP: Stochastic Petri Net Package Proc. Third Int'l Workshop Petri Nets and Performance Models, pp. 142151, 1989.
[9] B.L. Fox and P.W. Glynn, Computing Poisson Probabilities Comm. ACM, vol. 31, pp. 440445, 1988.
[10] A. Goyal, W.C. Carter, E. de Souza e Silva, and S.S. Lavenberg, The System Availability Estimator Proc. 16th IEEE Int'l Symp. FaultTolerant Computing (FTCS16), pp. 8489, July 1986.
[11] W.K. Grassmann, Transient Solutions in Markovian Queuing Systems Computers and Operations Research, vol. 4, pp. 4753, 1977.
[12] W.K. Grassmann, Means and Variances of Time Averages in Markovian Environments European J. Operational Research, vol. 31, no. 4, pp. 839854, Oct. 1984.
[13] D. Gross and D.R. Miller, The Randomization Technique as a Modelling Tool and Solution Procedure for Transient Markov Processes Operations Research, vol. 32, pp. 343361, 1984.
[14] M. Kijima, Markov Processes for Stochastic Modeling. London: Chapman&Hill, 1997.
[15] L. Knüsel, Computation of the ChiSquare and Poisson Distribution SIAM J. Scientific and Statistical Computing, vol. 7, no. 3, pp. 10221036, July 1986.
[16] M. Malhotra, J.K. Muppala, and K.S. Trivedi, StiffnessTolerant Methods for Transient Analysis of Stiff Markov Chains Microelectronics and Reliability, vol. 34, no. 11, pp. 18251841, 1994.
[17] M. Malhotra, A Computationally Efficient Technique for Transient Analysis of Repairable Markovian Systems Performance Evaluation, nos. 12, pp. 311331, Nov. 1995.
[18] B. Melamed and M. Yadin, Randomization Procedures in the Computation of CumulativeTime Distributions over Discrete State Markov Processes Operations Research, vol. 32, pp. 926944, 1984.
[19] B. Melamed and M. Yadin, Numerical Computation of SojournTime Distributions in Queuing Networks J. ACM, vol. 31, no. 4, pp. 839854, Oct. 1984.
[20] D.R. Miller, Reliability Calculation Using Randomization for Markovian FaultTolerant Computing Systems Proc. 13th IEEE Int'l Symp. FaultTolerant Computing (FTCS13), pp 284289, June 1983.
[21] A.P. Moorsel and W.H. Sanders, Adaptive Uniformization Comm. in Statistics Stochastic Models, vol. 10, no. 3, pp. 619647, 1994.
[22] A.P.A. van Moorsel and W.H. Sanders, Transient Solution of Markov Models by Combining Adaptive&Standard Uniformization IEEE Trans. Reliability, vol. 46, no. 3, pp. 430440, Sept. 1997.
[23] A. Reibman and K.S. Trivedi, Numerical Transient Analysis of Markov Models Computers and Operations Research, vol. 15, pp. 1936, 1988.
[24] A. Reibman and K. Trivedi, Transient Analysis of Cumulative Measures of Markov Model Behavior Comm. in Statistics Stochastic Models, vol. 5, no. 4, pp. 683710, 1989.
[25] S.M. Ross, Stochastic Processes. John Wiley&Sons, 1983
[26] W.H. Sanders, W.D. Obal II, M.A. Qureshi, and F.K. Widjanarko, The UltraSAN Modeling Environment Performance Evaluation, vol. 24, nos. 12, pp. 89115, 1995.
[27] B. Sericola, Availability Analysis of Repairable Computer Systems and Stationarity Detection IEEE Trans. Computers, vol. 48, no. 11, pp. 11661172, Nov. 1999.