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The identifiability problem for repairable systems subject to competing risks

Bedford, T.J. and Lindqvist, B. (2004) The identifiability problem for repairable systems subject to competing risks. Advances in Applied Probability, 36 (3). pp. 774-790. ISSN 001-8678

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Abstract

Within reliability theory, identifiability problems arise through competing risks. If we have a series system of several components, and if that system is replaced or repaired to as good as new on failure, then the different component failures represent competing risks for the system. It is well known that the underlying component failure distributions cannot be estimated from the observable data (failure time and identity of failed component) without nontestable assumptions such as independence. In practice many systems are not subject to the 'as good as new' repair regime. Hence, the objective of this paper is to contrast the identifiability issues arising for different repair regimes. We consider the problem of identifying a model within a given class of probabilistic models for the system. Different models corresponding to different repair strategies are considered: a partial-repair model, where only the failing component is repaired; perfect repair, where all components are as good as new after a failure; and minimal repair, where components are only minimally repaired at failures. We show that on the basis of observing a single socket, the partial-repair model is identifiable, while the perfect- and minimal-repair models are not.

Item type: Article
ID code: 4330
Keywords: reliability, marked point process, ergodicity, markov chain, management theory, systems analaysis, Management. Industrial Management, Risk Management, Statistics
Subjects: Social Sciences > Industries. Land use. Labor > Management. Industrial Management
Social Sciences > Industries. Land use. Labor > Risk Management
Social Sciences > Statistics
Department: Strathclyde Business School > Management Science
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 23 Oct 2007
    Last modified: 12 Mar 2012 10:40
    URI: http://strathprints.strath.ac.uk/id/eprint/4330

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