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Optimizing maintenance of a serial-structure system depending on the operation time of each element

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Abstract

A semi-Markovian model of a system with serial structure is developed. The model accounts for the nonfailure-operation time of each element. Stationary reliable and economic performance characteristics of the system are found, and optimal terms of maintenance are determined.

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References

  1. F. Beichelt and P. Franken, Reliability and Maintenance: Mathematical Methods [in German], Carl Hanser Verlag, Munich-Vienna (1984).

    Google Scholar 

  2. R. E. Barlow and F. Proschan, Mathematical Theory of Reliability, Wiley, New York (1965).

    MATH  Google Scholar 

  3. V. A. Kashtanov and V. I. Medvedev, Theories of Reliability of Complicated Systems (Theory and Practice) [in Russian], Evrop. Tsentr Kachestv., Moscow (2002).

    Google Scholar 

  4. E. Yu. Barzilovich and V. A. Kashtanov, Some Mathematical Problems in Queuing Theory for Complex Systems [in Russian], Sov. Radio, Moscow (1971).

    Google Scholar 

  5. V. V. Anisimov and Ü. Gürler, “An approximate analytical method of analysis of a threshold maintenance policy for a multiphase multicomponent model,” Cybern. Syst. Analysis, Vol. 39, No. 3, 325–337 (2003).

    Article  MATH  Google Scholar 

  6. V. S. Korolyuk and A. F. Turbin, Markovian Recovery Processes in Problems of Systems Reliability [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  7. A. N. Korlat, V. N. Kuznetsov, M. I. Novikov, and A. F. Turbin, Semi-Markovian Models of Restorable Systems and Queuing Systems [in Russian], Shtiintsa, Kishinev (1991).

    Google Scholar 

  8. V. M. Shurenkov, Ergodic Markovian Processes [in Russian], Nauka, Moscow (1989).

    Google Scholar 

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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 126–135, November–December 2006.

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Peschanskii, A.I. Optimizing maintenance of a serial-structure system depending on the operation time of each element. Cybern Syst Anal 42, 876–883 (2006). https://doi.org/10.1007/s10559-006-0127-y

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  • DOI: https://doi.org/10.1007/s10559-006-0127-y

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