Book Chapter
- A.Riska and E. Smirni, "M/G/1-type Markov Processes: A Tutorial", in Performance Evaluation of Complex Systems: Techniques and Tools, Performance 2002 Tutorial Lectures, M. Calzarossa and S. Tucci(eds), Springer-Verlag, Lecture Notes in Computer Science (2459), pp. 36-63, Rome, Italy, September 2002.
Our Publications
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A. Riska and E. Smirni, "ETAQA Solutions for Infinite Markov Processes with Repetitive Structure", INFORMS Journal of Computing, Vol. 19, No. 2, Spring 2007, pp. 215-288. PDF .
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A. Heindl, Q. Zhang, and E. Smirni, "ETAQA truncation models for the MAP/MAP/1 departure process", in Proceedings of the 1st International Conference on Quantitative Evaluation of Systems (QEST) 2004, Enschede, Netherlands, Sep. 2004, pp. 90-99. PDF
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Q. Zhang, A. Heindl, E. Smirni, "Characterizing the BMAP/MAP/1 Departure Process via the ETAQA Truncation" , in Communications in Statistics - Stochastic Models , pp. 821-846, Vol. 21(2-3), 2005. PDF
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Alma Riska, Evgenia Smirni,
"MAMSolver: A matrix-analytic methods tool"
, at 12-th International Conference on
Modeling Techniques and Tools for Computer and Communication Systems
Performance Evaluation, London, UK, April 2002.
PS,
PDF.
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Alma Riska, Evgenia Smirni,
"Exact aggregate solutions for M/G/1-type Markov processes"
, in ACM SIGMETRICS'02, Marina Del Rey, CA, June 2002.
PS,
PDF.
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Gianfranco Ciardo, Weizhen Mao,
Alma Riska, Evgenia Smirni,
"ETAQA-MG1: An efficient technique for the analysis of a class of M/G/1-type
processes by aggregation", Performance Evaluation, Vol. 57(3), pp. 235-260, July 2004.
PS,
PDF.
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Gianfranco Ciardo, Alma Riska,
Evgenia Smirni, "An aggregation solution method
for M/G/1-type processes", in Proceedings of the Third
International Conference on Numerical solution of Markov Chains,
pages 21-40,
Zaragoza, Spain, September 1999.
PS,
PDF.
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Alma Riska,
Evgenia Smirni, Gianfranco Ciardo,
"Exact analysis of a class of GI/G/1-type performability models", IEEE Transactions on Reliability, Vol.53 (2), pp. 238-249, June 2004.
PS,
PDF.
Publications from Matrix-Analytic methods research community
- G. Latouche and V. Ramaswami.
Introduction to Matrix Geometric Methods in
Stochastic Modeling,
ASA-SIAM Series on Statistics and Applied Probability. SIAM,
Philadelphia PA, 1999.
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M.~F. Neuts.
"Matrix-geometric solutions in stochastic
models,
Johns Hopkins University Press, Baltimore, MD, 1981.
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M.~F. Neuts.
"Structured stochastic matrices of M/G/1 type
and their applications,
Marcel Dekker, New York, NY, 1989.
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V.~Ramaswami.
"A stable recursion for the steady state vector
in Markov chains of M/G/1 type,
Commun. Statist.- Stochastic Models, vol. 4 pages 183-263, 1988.
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D.A. Bini and B. Meini,
"Using displacement structure for solving
non-skip-free M/G/1 type Markov chains"
, in A. Alfa and S. Chakravarthy, editors,
Advances in Matrix Analytic Methods for Stochastic Models,
pages 17--37, Notable Publications Inc. NJ, 1998.
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B. Meini.
"Solving M/G/1 type Markov chains: Recent
advances and applications,
Comm. Statist. Stochastic Models, vol 14(1\&2) pages 479--496, 1998.
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B. Meini.
"An improved FFT-based version of Ramaswami's
formula,
Comm. Statist. Stochastic Models, vol. 13 pages 223--238, 1997.
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V.~Ramaswami and G.~Latouche.
"A general class of Markov processes with explicit
matrix-geometric solutions,
OR Spektrum, vol. 8 pages 209--218, Aug. 1986.