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Markov Chains

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Stochastic Processes

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

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Abstract

In Sect. 3.4, we consider the system that repeats up and down such as operating and failed states alternately. Next, as one example of extended models, we take up the system with repair maintenance: The system begins to operate at time 0 and undergoes repair according to two types of failures such as minor and major failures. After the repair completion, the system becomes like new and begins to operate again.

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References

  1. Osaki S (1992) Applied stochastic system modeling. Springer, Berlin

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  2. Kemeny JG, Snell JL (1960) Finite Markov chains. Nostrand Co, Princeton

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  3. Tijms HC (2003) A first course in stochastic models. Wiley, Chichester

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  4. Ross SM (1983) Stochastic processes. Wiley, New York

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  5. Barlow RE, Proschan F (1965) Mathematical theory of reliability. Wiley, New York

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  6. Nakagawa T (2005) Maintenance theory of reliability. Springer, London

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Correspondence to Toshio Nakagawa .

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© 2011 Springer-Verlag London Limited

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Nakagawa, T. (2011). Markov Chains. In: Stochastic Processes. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-274-2_4

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  • DOI: https://doi.org/10.1007/978-0-85729-274-2_4

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  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-273-5

  • Online ISBN: 978-0-85729-274-2

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