Rationalization of detection of the multiple disorders

Krzysztof Szajowski

Statistical Papers, 2020, vol. 61, issue 4, No 9, 1545-1563

Abstract: 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.

Keywords: Reliability; Maintenance; Cooperative game; Voting model; Simple game; Change point; Disorder problem; 91B06; 60G40; 91A65; 91A10 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00362-020-01168-2

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