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Some Considerations on the Markov Approach to Reliability

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Book cover Synthesis and Analysis Methods for Safety and Reliability Studies

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Abstract

The dimension of the transition rate matrix is a big problem in solving reliability problems using the Markov approach; this limitation can be partially overcome by using the sparsity and structure properties of this matrix, the problem is presented in the first part of this paper. The second part is a brief outline of a computer program to solve automatically the stationary Markov description of systems. The third part contains a discussion about what is the system behaviour described by a non stationary Markov process.

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References

  1. J.L.Dobb: Stochastic Processes - Wiley, 1953

    Google Scholar 

  2. W.Feller: An Introduction to Probability Theory and its Applications -Wiley, 1950

    Google Scholar 

  3. L.Takacs: Stochastic Processes - Methuen, 1960

    Google Scholar 

  4. Rivista Tecnica Selenia, Vol.4, n.3 (1977) - Special issue on “System Reliability: The Markov Approach”

    Google Scholar 

  5. V.Amoia, M. Santomauro: Computer Oriented Reliability Analysis of Large Electrical Systems -Summer Symp. on Circuit Theory, Prague, 1977

    Google Scholar 

  6. V.Amoia, E.Carrada, R.Somma: II punto di vista Markoviano e quello Integrale per l’affidabilità dei sistemi - X° Convegno Nazionale A.I.C.Q., Torino, Oct.1978

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  7. D.R.Cox: Renewal Theory - Wiley, 1962

    Google Scholar 

  8. R.A. Hall, H. Dubner, L.B. Adler: Reliability of Non-exponential Redundant Systems - Proceedings of the 1966 Ann. Symp. on Reliability, San Francisco, Jan. 1966

    Google Scholar 

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Author information

Authors and Affiliations

  1. Selenia S.p.A, Via Tiburtina km. 12.400, Roma, Italy

    Roberto Somma

Authors
  1. Roberto Somma
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Editor information

Editors and Affiliations

  1. University of California, 5532, Boelter Hall, Los Angeles, California, USA

    G. Apostolakis

  2. CESNEF - Politecnico di Milano, Via G. Ponzio 34/3, 20133, Milano, Italy

    S. Garribba

  3. C.E.C. Joint Research Centre, Ispra Establishment, 21020, Ispra (VA), Italy

    G. Volta

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© 1980 Plenum Press, New York

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Somma, R. (1980). Some Considerations on the Markov Approach to Reliability. In: Apostolakis, G., Garribba, S., Volta, G. (eds) Synthesis and Analysis Methods for Safety and Reliability Studies. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3036-3_14

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  • DOI: https://doi.org/10.1007/978-1-4613-3036-3_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3038-7

  • Online ISBN: 978-1-4613-3036-3

  • eBook Packages: Springer Book Archive

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