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Journal ArticleDOI

New results for the Brown-Proschan model of imperfect repair

TLDR
In this article, it was shown that the sojourn time between renewals (i.e., perfect repairs) is a nonstationary Poisson shock model survival probability.
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This article is published in Journal of Statistical Planning and Inference.The article was published on 1987-01-01. It has received 18 citations till now.

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Citations
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Invited reviewImperfect maintenance

TL;DR: The maintenance of a deteriorating system is often imperfect: the system after maintenance will not as good as new, but younger as discussed by the authors, which indicates a significant breakthrough in reliability and maintenance theory.
Journal ArticleDOI

A quasi renewal process and its applications in imperfect maintenance

TL;DR: According to the theory of the quasi-renewal process developed in this paper, the expected maintenance cost rate and availability are obtained and optimum maintenance policies are discussed for these three models.
Journal ArticleDOI

Some maintenance models and availability withimperfect maintenance in production systems

TL;DR: A periodic maintenance model in which both preventive and corrective maintenance are imperfect, and two other imperfect maintenance models are proposed in this paper.
Journal ArticleDOI

Optimal maintenance policies for several imperfect repair models

TL;DR: Three new maintenance models, two imperfect preventive maintenance models and a cost limit (imperfect) repair model are proposed, in these models the imperfect maintenance is treated in such a way that after maintenance the lifetime of a unit will be decreased to a fraction of the one immediately preceding it.
References
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Journal ArticleDOI

Residual Life Time at Great Age

A. A. Balkema, +1 more
TL;DR: In this article, the asymptotic behavior of the residual life time at time $t$ is investigated (for $t \rightarrow \infty) for weak limit laws and their domains of attraction and rates of convergence and moment convergence.
Journal ArticleDOI

Age Dependent Minimal Repair.

TL;DR: In this article, the NBUE aging property is shown to be inherited by the distribution of the time between successive complete repairs under suitable monotonicity of the function p. This is equivalent to assuming that maintenance is executed in negligible time.
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