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Juan A. Carrasco, Víctor Suñé, "A Numerical Method for the Evaluation of the Distribution of Cumulative Reward till Exit of a Subset of Transient States of a Markov Reward Model," IEEE Transactions on Dependable and Secure Computing, vol. 8, no. 6, pp. 798809, November/December, 2011.  
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@article{ 10.1109/TDSC.2010.49, author = {Juan A. Carrasco and Víctor Suñé}, title = {A Numerical Method for the Evaluation of the Distribution of Cumulative Reward till Exit of a Subset of Transient States of a Markov Reward Model}, journal ={IEEE Transactions on Dependable and Secure Computing}, volume = {8}, number = {6}, issn = {15455971}, year = {2011}, pages = {798809}, doi = {http://doi.ieeecomputersociety.org/10.1109/TDSC.2010.49}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
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TY  JOUR JO  IEEE Transactions on Dependable and Secure Computing TI  A Numerical Method for the Evaluation of the Distribution of Cumulative Reward till Exit of a Subset of Transient States of a Markov Reward Model IS  6 SN  15455971 SP798 EP809 EPD  798809 A1  Juan A. Carrasco, A1  Víctor Suñé, PY  2011 KW  Fault tolerance KW  modeling techniques KW  Markov reward models KW  numerical algorithms. VL  8 JA  IEEE Transactions on Dependable and Secure Computing ER   
[1] M.D. Beaudry, “PerformanceRelated Reliability Measures for Computing Systems,” IEEE Trans. Computers, vol. 27, no. 6, pp. 540547, June 1978.
[2] M. Malhotra, “A Computationally Efficient Technique for Transient Analysis of Repairable Markovian Systems,” Performance Evaluation, vol. 24, no. 4, pp. 311331, 1996.
[3] A. Reibman and K. Trivedi, “Numerical Transient Analysis of Markov Models,” Computers and Operations Research, vol. 15, no. 1, pp. 1936, 1988.
[4] V.G. Kulkarni, “A New Class of Multivariate Phase Type Distributions,” Operations Research, vol. 37, no. 1, pp. 151158, 1989.
[5] G. Ciardo, R.A. Marie, B. Sericola, and K.S. Trivedi, “Performability Analysis Using SemiMarkov Reward Processes,” IEEE Trans. Computers, vol. 39, no. 10, pp. 12511264, Oct. 1990.
[6] S. Ahn and V. Ramaswami, “Bilateral Phase Type Distributions,” Stochastic Models, vol. 21, no. 2, pp. 239259, 2005.
[7] J.F. Meyer, “On Evaluating the Performability of Degradable Computing Systems,” IEEE Trans. Computers, vol. 29, no. 8, pp. 720731, Aug. 1980.
[8] R.M. Smith, K.S. Trivedi, and A.V. Ramesh, “Performability Analysis: Measures, an Algorithm, and a Case Study,” IEEE Trans. Computers, vol. 37, no. 4, pp. 406417, Apr. 1988.
[9] E. de Souza e Silva and H.R. Gail, “Calculating Availability and Performability Measures of Repairable Computer Systems Using Randomization,” J. ACM, vol. 36, no. 1, pp. 171193, 1989.
[10] S.M.R. Islam and H.H. Ammar, “Performability of the Hypercube,” IEEE Trans. Reliability, vol. 38, no. 5, pp. 518526, Dec. 1989.
[11] L. Donatiello and V. Grassi, “On Evaluating the Cumulative Performance Distribution of FaultTolerant Computer Systems,” IEEE Trans. Computers, vol. 40, no. 11, pp. 13011307, Nov. 1991.
[12] K.R. Pattipati, Y. Li, and H.A.P. Blom, “A Unified Framework for the Performability Evaluation of FaultTolerant Computer Systems,” IEEE Trans. Computers, vol. 42, no. 3, pp. 312326, Mar. 1993.
[13] H. Nabli and B. Sericola, “Performability Analysis: A New Algorithm,” IEEE Trans. Computers, vol. 45, no. 4, pp. 491494, Apr. 1996.
[14] V. Suñé, J.A. Carrasco, H. Nabli, and B. Sericola, “Comment on ‘Performability Analysis: A New Algorithm’,” IEEE Trans. Computers, vol. 59, no. 1, pp. 137138, Jan. 2010.
[15] M.A. Qureshi and W.H. Sanders, “A New Methodology for Calculating Distributions of Reward Accumulated during a Finite Interval,” Proc. IEEE 26th Int'l Symp. FaultTolerant Computing, pp. 116125, June 1996.
[16] E. de Souza e Silva and H.R. Gail, “An Algorithm to Calculate Transient Distributions of Cumulative Rate and Impulse Based Reward,” Stochastic Models, vol. 14, no. 3, pp. 509536, 1998.
[17] S. Rácz, Á. Tari, and M. Telek, “MRMSolve Distribution Estimation of Large Markov Reward Models,” Computer Performance Evaluation: Modelling Techniques and Tools, pp. 141158, SpringerVerlag, 2002.
[18] J.A. Carrasco, “Two Methods for Computing Bounds for the Distribution of Cumulative Reward for Large Markov Models,” Performance Evaluation, vol. 63, no. 12, pp. 11651195, 2006.
[19] W.K. Grassmann, “Transient Solutions in Markovian Queueing Systems,” Computers and Operations Research, vol. 4, no. 1, pp. 4753, 1977.
[20] N.J. Higham, “The Accuracy of Floating Point Summation,” SIAM J. Scientific Computing, vol. 14, no. 4, pp. 783799, 1993.
[21] IEEE Std 7542008 Standard for FloatingPoint Arithmetic (Revision of IEEE Std 7541985), IEEE Computer Society, 2008.
[22] T.A. Davis, Direct Methods for Sparse Linear Systems. SIAM, 2006.
[23] I. Koren and C.M. Krishna, FaultTolerant Systems. Morgan Kaufmann, 2007.
[24] M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, and F. Rossi, GNU Scientific Library Reference Manual, third ed. Network Theory Limited, 2009.
[25] R.C. Whaley, A. Petitet, and J.J. Dongarra, “Automated Empirical Optimizations of Software and the ATLAS Project,” Parallel Computing, vol. 27, nos. 1/2, pp. 335, 2001.