On the mean time to failure of an age-replacement model in discrete time

Kattumannil, Sudheesh K.; Asha, G.; Krishna, K M Jagathnath

doi:10.1080/03610926.2019.1672742

Cited by 11 publications

(6 citation statements)

References 15 publications

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“…They also consider a model where the time until replacement is random and all lifetimes and times until replacement are assumed independent. A similar result for the discrete-time version of the age replacement model is proved in the recent work of Sudheesh et al [39].…”

Section: Introductionsupporting

confidence: 80%

“…[19]). The equivalent results are obtained for the discrete time age replacement model in [39,Theorems 3.1 and 3.2]. In Corollary 2.4 we obtain another characterization of the DMTTF and IMTTF aging classes proving that X ∈ DMTTF (X ∈ IMTTF) if and only if τX,T ∈ NBUE (τX,T ∈ NWUE) for all T > 0.…”

Section: Introductionmentioning

confidence: 64%

“…[19]). The equivalent results are obtained for the discretetime age replacement model in [40] Thms. 3.1 and 3.2.…”

Section: Introductionmentioning

confidence: 99%

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Further Results on Stochastic Orderings and Aging Classes in Systems With Age Replacement

Corujo

Valdés²

2021

Prob. Eng. Inf. Sci.

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Reliability properties associated with the classic models of systems with age replacement have been a usual topic of research. Most previous works have checked the aging properties of the lifetime of the working units using stochastic comparisons among the systems with age replacement at different times. However, from a practical point of view, it would also be interesting to deduce to which aging classes the lifetime of the system belongs, making use of the aging properties of the lifetime of its working units. The first part of this article deals with this problem. Further along, stochastic orderings are established between the systems with replacement at the same time using several stochastic comparisons among the lifetimes of their working units. In addition, the lifetimes of two systems with age replacement are compared as well. This is performed assuming stochastic orderings between the number of replacement until failure, and the lifetimes of their working units conditioned to be less or equal than the replacement time. Similar comparisons are accomplished considering two systems with age replacement where the replacements occur at a random time. Illustrative examples are presented throughout the paper.

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Section: Introductionsupporting

confidence: 80%

Section: Introductionmentioning

confidence: 64%

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Further Results on Stochastic Orderings and Aging Classes in Systems With Age Replacement

Corujo

Valdés²

2021

Prob. Eng. Inf. Sci.

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“…Sheu et al (2019) proposed precautionary replacement charge functions for a system that is prone to a particular distress, in which the system is either replaced with a latest one or undergoes fixed up, when a distress occurs. Sudheesd et al (2019) looked at the discontinuous replacement charge function before looking at the features of a system's mean time to failure. Wang et al (2019) obtained the charge function C T; N ð Þfor a fixable system with a single repairman.…”

Section: Introductionmentioning

confidence: 99%

Discrete Fix up Limit Model of a Device Unit

Waziri¹,

Ibrahim²

2022

JCCE

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Sometimes, a failed device cannot be fix up completely within the precise limit time due to some reasons. This paper addresses the problem of completing a fix up action of a failed device unit within a projected discrete precise limit time. A discrete fix up limit model is constructed for the device is constructed based on a fix up limit policy. A numerical example is provided for simple illustration of the fix up limit model constructed, so as to investigate the characteristics of the constructed model.

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“…Sheu et al [22] presented preventive replacement models for a system subjected to shocks that arrive according to a non-homogeneous Poisson process, such that when a shock takes place, the system is either replaced by a new one (type 2 failure) or minimally repaired (type 1 failure). Sudheesh et al [23] considered the discrete age-replacement model, and then studied the properties of mean time to failure of a system. Tsoukalas and Agrafiotis [24] introduced a new replacement policy for a system with correlated failure and usage time.…”

Section: Introductionmentioning

confidence: 99%

On Possibility of Extending the Optimal Replacement time of Series and Parallel Systems

Waziri

Isa²

2021

IJRRS

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Among all systems, the series system has the lowest optimal replacement time, while the parallel system has the highest optimal replacement time. This paper is comparing the standard age replacement strategy (SARS) with some proposed replacement strategies (strategy A and strategy B) for two multi-unit systems. Two numerical examples are provided for a simple illustration of the proposed replacement cost models under SARS, strategies A and B. The results obtained showed that strategy B can extend the optimal replacement time of a series system.

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On the mean time to failure of an age-replacement model in discrete time

Cited by 11 publications

References 15 publications

Further Results on Stochastic Orderings and Aging Classes in Systems With Age Replacement

Further Results on Stochastic Orderings and Aging Classes in Systems With Age Replacement

Discrete Fix up Limit Model of a Device Unit

On Possibility of Extending the Optimal Replacement time of Series and Parallel Systems

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