On information-based minimal repair and the reduction in remaining system lifetime due to the failure of a specific module
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In this paper, the authors compare the remaining system lifetime after a black box minimal repair of a system and after a natural minimal repair based on information on the component level, and explore the relation to the reduction in remaining system life time due to the failure of a component inside the module.Abstract:
The first part of this paper is inspired by a somewhat surprising result in Arjas and Norros (1989). Here we give some results comparing remaining system lifetime just after a ‘black box' minimal repair of a system and after a natural minimal repair based on information on the component level. In the second part we consider the reduction in remaining system lifetime due to the failure of a specific module and explore the relation to the reduction in remaining system lifetime due to the failure of a component inside the module. This former reduction also equals the increase in remaining system lifetime due to a minimal repair of the module at its time of failure. The expected value of this reduction/increase is proportional to the so-called Natvig measure of the importance of the module.read more
Citations
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Optimal allocation of resources to nodes of parallel and series systems
TL;DR: This paper considers parallel and series systems, the components of which can be ‘improved' by supplying the components with cold or hot standby spares or by allotting to them fixed budgets for minimal repairs.
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A general minimal repair model
Terje Aven,Uwe Jensen +1 more
TL;DR: In this paper, a general definition characterizing point processes which describe time points of minimal repairs with respect to a certain information level is given. But the state just before failure depends on the information which is available about the system.
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Availability for repairable components and series systems
TL;DR: In this paper, a generalized availability model for repairable components and series systems is proposed, where the lifetime of a repaired component has a general distribution which can be different from that of a new component.
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Nonparametric Methods for Imperfect Repair Models
TL;DR: In this paper, an appropriate probability model for the BBS process is developed and a counting process approach is used to extend the large sample theorems of Whitaker and Samaniego to the whole line.
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Minimal repair in heterogeneous populations
TL;DR: In this article, the notion of minimal repair is generalized to the case when the lifetime distribution function is a continuous or a discrete mixture of distributions (heterogeneous population) The statistical (black box) minimal repair and the minimal repair based on information just before the failure of an object are considered.
References
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Journal ArticleDOI
Statistical Theory of Reliability and Life Testing Probability Models
Book
Statistical Theory of Reliability and Life Testing: Probability Models
Richard E. Barlow,Frank Proschan +1 more
TL;DR: A number of new classes of life distributions arising naturally in reliability models are treated systematically and each provides a realistic probabilistic description of a physical property occurring in the reliability context, thus permitting more realistic modeling of commonly occurring reliability situations.
Journal ArticleDOI
Optimum Preventive Maintenance Policies
TL;DR: In this paper, two types of preventive maintenance policies are considered, and the optimum policies are determined, in each case, as unique solutions of certain integral equations depending on the failure distribution.
ReportDOI
On the importance of different components in a multicomponent system
TL;DR: A quantitative definition of this notion of importance is proposed in the present paper for systems with coherent structures, assuming that only the structure of the system is known, or that also the reliabilities of all components are known.
Journal ArticleDOI
Importance of System Components and Fault Tree Events.
Richard E. Barlow,Frank Proschan +1 more
TL;DR: The importance measure is a useful guide during the system development phase as to which components should receive more urgent attention in achieving system reliability growth.