References
- Neuts, M. F., “A Versatile Markovian Point Process,” Journal of Applied Probability, Vol. 16, No. 4, pp. 764-779, 1979. https://doi.org/10.1017/S0021900200033465
- Casale, G., Zhang, E. Z. and Smirni, E., “Trace Data Characterization and Fitting for Markov Modeling,” Performance Evaluation, Vol. 54, No. 2, pp. 61-79, 2010.
- Buchholz, P., "An EM-algorithm for MAP Fitting from Real Traffic Data.," International Conference on Modelling Techniques and Tools for Computer Performance Evaluation. Springer Berlin Heidelberg, 2003.
- Klemm, A., Lindemann, C. and Lohmann, M., “Modeling IP Traffic Using the Batch Markovian Arrival Process,” Performance Evaluation, Vol. 54, No. 2, pp. 149-173, 2003. https://doi.org/10.1016/S0166-5316(03)00067-1
- Artalejo, J.R., Gomez-Corral, A. and Qi-Ming H., "Markovian Arrivals in Stochastic Modelling: a Survey and Some New Results", Statistics and Operations Research Transactions, Vol. 34, No. 2, pp. 101-156, 2010.
- Paxson, V. and Floyd, S., "Wide Area Traffic: The Failure of Poisson Modeling", IEEE/ACM Transactions on Networking, Vol. 3, No. 3, pp. 226-244, 1995. https://doi.org/10.1109/90.392383
- Ramaswami, V., “The N/G/1 Queue and Its Detailed Analysis,” Advances in Applied Probability, Vol. 12, No. 1, pp. 222-261, 1980. https://doi.org/10.1017/S0001867800033474
- Okamura, H., Dohi, T. and Trivedi, K. S., "Markovian Arrival Process Parameter Estimation with Group Data". IEEE/ACM Transactions on Networking, Vol. 17, No. 4, pp. 1326-1339, 2009. https://doi.org/10.1109/TNET.2008.2008750
- Breuer, L. and Kume, A., "An EM Algorithm for Markovian Arrival Processes Observed at Discrete Times," In International GI/ITG Conference on Measurement, Modelling, and Evaluation of Computing Systems and Dependability and Fault Tolerance, Springer Berlin Heidelberg, pp. 242-258, 2010.
- Carrizosa, E. and Ramirez-Cobo, P., "Maximum Likelihood Estimation in the Two-state Markovian Arrival Process", arXiv preprint arXiv:1401.3105, 2014.
- Lee, H. W., Queueing Theory, Sigma Press, 2006 (in Korean)
- Cinlar, E., “Queues with semi-Markovian Arrivals,” Journal of Applied Probability, Vol. 4, No. 2, pp. 365-379, 1967. https://doi.org/10.1017/S0021900200032113
- Neuts, M.F., "Matrix-analytic Methods in Queueing Theory," appears in: Advances in Queueing : Theory, methods and Open Problems, J.H. Dshalalow Editor, CRC Press, pp. 265-292, 1995.
- Wallace, V.L. The Solution of Quasi Birth and Death Processes Arising from Multiple Access Computer Systems, SEL Technical Report No. 35, Michigan Univ. Ann Arbor Systems Engineering Lab, 1969.
- Ramaswami, V., "A Stable Recursion for the Steady State Vector in Markov Chains of M/G/1 Type," Stochastic Models, Vol. 4, No. 1, 1988.
- Lucantoni, D. M., “New Results for the Single Server Queue with a Batch Markovian Arrival Process,” Stochastic Models, Vol. 7, No. 1, pp. 1-46, 1991. https://doi.org/10.1080/15326349108807174
- Lucantoni, D. M., "The BMAP/G/1 Queue: A Tutorial," Lecture Notes in Computer Science, Vol. 729, pp. 330-358, 1993.
- Blondia, C. and Casals, O., "Statistical Multiplexing of VBR Sources: A Matrixanalytic Approach," Performance Evaluation, Vol. 16, pp. 5-20, 1992. https://doi.org/10.1016/0166-5316(92)90064-N
- Cox, D.R., “The Analysis of non-Markovian Stochastic Processes by the Inclusion of Supplementary Variables,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 51, No. 3, pp. 433-441, 1955. https://doi.org/10.1017/S0305004100030437
- Hokstad, B.T., "A Supplementary Variable Technique Applied to the M/G/1 Queue", Scandinavian Journal of Statistics, Vol. 2, No. 2, pp. 95-98, 1975.
- Lee, H.W., Ahn, B.Y. and Park, N.I., "Decompositions of the Queue Length Distributions in the MAP/G/1 Queue under Multiple and Single Vacations with N-policy," Stochastic Models, Vol. 17, No. 2, pp. 157-190, 2001 https://doi.org/10.1081/STM-100002062
- Lee, H.W. and Ahn, B.Y., "Operational Behavior of the MAP/G/1 Queue under N-policy with Single Vacation and Setup", Journal of Applied Mathematics & Stochastic Analysis, Vol. 15, No. 2, pp. 167-196, 2002.
- Lee, H.W., Shin, Y.J. and Lee, S.W., “Two Approaches for Discrete-time MAP/G/1 Queues,” Journal of Industrial Engineering and Management Systems, Vol. 2, No. 2, pp. 188-192, 2003.
- Lee, H.W., Shin, Y.J., Lee, E.Y. and Chae, K.C., “An Eigenvalue Approach to Discretetime MAP/G/1 Queues,” International Journal of Industrial Engineering, Vol. 10, No. 4, pp. 644-650, 2003.
- Lee, H.W. and Park, N.I., “Using Factorization for Waiting Times in BMAP/G/1 Queues with N-policy and Vacations,” Stochastic Analysis and Applications, Vol. 22, No. 3, pp. 755-773, 2004. https://doi.org/10.1081/SAP-120030455
- Lee, H.W., Lee, S.W., Seo, W.J., Cheon, S.H. and J. Jeon, "A Unified Framework for the Analysis of M/G/1 Queue Controlled by Workload," Lecture Notes in Computer Science, Vol. 3982, pp. 718-727, 2006.
- Lee, S.W., Lee, H.W. and Baek, J. W., "Analysis of Discrete-time Geo/G/1 Queue under the D-policy," 6th International Conference on Queueing Theory and Network Analysis, 2011, Seoul, Korea, QTNA2011.
- Lee, S.W., Lee, H.W. and Baek, J. W., “Analysis of Discrete-time MAP/G/1 Queue under Workload Control,” Performance Evaluation, Vol. 69, No. 2, pp. 71-85, 2012. https://doi.org/10.1016/j.peva.2011.11.001
- Hunter, J.J., Mathematical Techniques of Applied Probability, Vol. II, Discrete-time Models: Techniques and Applications, New York: Academic Press, 1983.
- Takagi, H., Queueing Analysis: Vol. III, Discrete-Time Systems, North-Holland, 1993.
- Kim, N.K., Chang, S.H. and Chae, K.C., "On the Relationships among Queue Lengths at Arrival, Departure, and Random Epochs on the Discrete-time Queue with D-BMAP Arrivals," Operations Research, Vol. 30, pp. 25-32, 2002.
- Latouche, G. and Ramaswami, V., Introduction to Matrix Analytic Methods in Stochastic Modeling, Society for Industrial and Applied Mathematics, 1999.
- Bruneel, H. and Kim, B. G., Discrete-Time Models for Communication Systems Including ATM, Kluwer Academic Publishers, 1993.
- Lee, K.-G., Choi, S. and Ryu, S.-W., “Development of Simulation System for Evaluating Performance of the Flat Display Manufacturing Line with Repetitive Process,” The Journal of Information Systems, Vol. 17, No. 4, pp. 301-319, 2008. https://doi.org/10.5859/KAIS.2008.17.4.301
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