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The numerical solution of stochastic automata networks

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  • Stewart, William J.
  • Atif, Karim
  • Plateau, Brigette

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  • Stewart, William J. & Atif, Karim & Plateau, Brigette, 1995. "The numerical solution of stochastic automata networks," European Journal of Operational Research, Elsevier, vol. 86(3), pages 503-525, November.
    • Handle: RePEc:eee:ejores:v:86:y:1995:i:3:p:503-525
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    References listed on IDEAS

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    1. William J. Stewart & Wei Wu, 1992. "Numerical Experiments with Iteration and Aggregation for Markov Chains," INFORMS Journal on Computing, INFORMS, vol. 4(3), pages 336-350, August.
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    Cited by:

    1. Peter Buchholz & Gianfranco Ciardo & Susanna Donatelli & Peter Kemper, 2000. "Complexity of Memory-Efficient Kronecker Operations with Applications to the Solution of Markov Models," INFORMS Journal on Computing, INFORMS, vol. 12(3), pages 203-222, August.
    2. Abderezak Touzene, 2008. "A Tensor Sum Preconditioner for Stochastic Automata Networks," INFORMS Journal on Computing, INFORMS, vol. 20(2), pages 234-242, May.
    3. Uysal, Ertugrul & Dayar, Tugrul, 1998. "Iterative methods based on splittings for stochastic automata networks," European Journal of Operational Research, Elsevier, vol. 110(1), pages 166-186, October.
    4. Å nipas, Mindaugas & Radziukynas, Virginijus & ValakeviÄ ius, Eimutis, 2017. "Modeling reliability of power systems substations by using stochastic automata networks," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 13-22.
    5. Gusak, Oleg & Dayar, Tugrul & Fourneau, Jean-Michel, 2003. "Lumpable continuous-time stochastic automata networks," European Journal of Operational Research, Elsevier, vol. 148(2), pages 436-451, July.
    6. Oliveira, Fernando S., 2010. "Limitations of learning in automata-based systems," European Journal of Operational Research, Elsevier, vol. 203(3), pages 684-691, June.
    7. Å nipas, Mindaugas & Radziukynas, Virginijus & ValakeviÄ ius, Eimutis, 2018. "Numerical solution of reliability models described by stochastic automata networks," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 570-578.
    8. Amy N. Langville & William J. Stewart, 2004. "Testing the Nearest Kronecker Product Preconditioner on Markov Chains and Stochastic Automata Networks," INFORMS Journal on Computing, INFORMS, vol. 16(3), pages 300-315, August.

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