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

  • 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 .

  • 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

  • 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

  • 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.

  • 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.

  • 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.

  • 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.

  • 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.
  • M.~F. Neuts. "Matrix-geometric solutions in stochastic models, Johns Hopkins University Press, Baltimore, MD, 1981.  

  • M.~F. Neuts. "Structured stochastic matrices of M/G/1 type and their applications, Marcel Dekker, New York, NY, 1989.  

  • 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.  

  • 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.  

  • 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.  

  • B. Meini. "An improved FFT-based version of Ramaswami's formula, Comm. Statist. Stochastic Models, vol. 13 pages 223--238, 1997.  

  • 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.