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Rationalization of detection of the multiple disorders

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  • Krzysztof J. Szajowski

    (Wrocław University of Science and Technology Faculty of Pure and Applied Mathematics)

Abstract

We will analyze the importance of elements of a complex structure on the availability of the system. The basis for the element assessment are the importance measures for multi-state systems introduced by Birnbaum (in: Krishaiah, Econometrics, principal components, reliability, and applications, Academic Press, New York, 1969) and Barlow and Proshan (Stoch Process Appl 3:153–173, 1975). The availability depends not only on the reliability, but also on the difficulty of maintenance, the ability to diagnose the need for service and its efficient implementation. If we assume that the need for maintenance is the result of deregulation, then determining the key elements to detect the moment of disorder of the system will be the basis for assessing the importance of the element for the system maintenance process.

Suggested Citation

  • Krzysztof J. Szajowski, 2020. "Rationalization of detection of the multiple disorders," Statistical Papers, Springer, vol. 61(4), pages 1545-1563, August.
    • Handle: RePEc:spr:stpapr:v:61:y:2020:i:4:d:10.1007_s00362-020-01168-2
    DOI: 10.1007/s00362-020-01168-2
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    References listed on IDEAS

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    1. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    2. Luisa Carpente & Balbina Casas-Méndez & Ignacio García-Jurado & Anne van den Nouweland, 2005. "Values for strategic games in which players cooperate," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 397-419, September.
    3. Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
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    Cited by:

    1. Georgy Sofronov & Martin Wendler & Volkmar Liebscher, 2020. "Editorial for the special issue: Change point detection," Statistical Papers, Springer, vol. 61(4), pages 1347-1349, August.

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