Component Level Versus System Level -Out-of- Assembly Systems

Da, Gaofeng; Ding, Weiyong

doi:10.1109/tr.2015.2421902

Cited by 21 publications

(14 citation statements)

References 25 publications

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“…Remark Da and Ding showed that

τ_{C_{p}}

is larger than that of

τ_{S_{p}}

in the sense of the reversed hazard rate ordering if the coherent system is of the k ‐out‐of‐ n structure with independent and identically distributed components and multiple redundancies. Let F be the common distribution function of the independent and identically distributed components in a k ‐out‐of‐ n system.…”

Section: Resultsmentioning

confidence: 99%

“…It has been proved in Corollary 2.1 of that the function is increasing in u ∈(0,1). Thus, Theorem 7 of is extended to the framework of coherent system with dependent components.…”

Section: Resultsmentioning

confidence: 99%

“…components and multiple complete matching spares, sufficient conditions are provided to guarantee the hazard rate and likelihood ratio orderings between the component and system redundancies. It is interesting to note that Da and Ding generalized the BP principle from the way of parallel assembly to that of k ‐out‐of‐ n assembly. They carried out comparisons between component and system redundancies with respect to various stochastic orderings, wherein some of their results could be regarded as the special case of the corresponding results of this paper.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Component and system active redundancies for coherent systems with dependent components

Zhang

Amini-Seresht

Ding

2017

Appl Stoch Models Bus & Ind

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The prevailing engineering principle that redundancy at the component level is superior to redundancy at the system level is generalized to coherent systems with dependent components. Sufficient (and necessary) conditions are presented to compare component and system redundancies by means of the usual stochastic, hazard rate, reversed hazard rate, and likelihood ratio orderings. Explicit numerical examples are provided to illustrate the theoretical findings. Some related results in the literature are generalized and extended.

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“…Remark Da and Ding showed that

τ_{C_{p}}

is larger than that of

τ_{S_{p}}

Section: Resultsmentioning

confidence: 99%

“…It has been proved in Corollary 2.1 of that the function is increasing in u ∈(0,1). Thus, Theorem 7 of is extended to the framework of coherent system with dependent components.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Component and system active redundancies for coherent systems with dependent components

Zhang

Amini-Seresht

Ding

2017

Appl Stoch Models Bus & Ind

Self Cite

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“…Barlow and Proschan [4] showed that the allocation of active redundancy at the component level (of a coherent system) is superior to that at the system level with respect to the usual stochastic order. Later, many other researchers studied this problem in different directions (see [8], [11], [21], [38], [40], [56], [57], and the references therein). However, to the best of our knowledge, this problem using ageing faster orders has not yet been studied.…”

Section: Introductionmentioning

confidence: 99%

On relative ageing of coherent systems with dependent identically distributed components

Hazra

Misra

2020

Adv. Appl. Probab.

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Relative ageing describes how one system ages with respect to another. The ageing faster orders are used to compare the relative ageing of two systems. Here, we study ageing faster orders in the hazard and reversed hazard rates. We provide some sufficient conditions for one coherent system to dominate another with respect to ageing faster orders. Further, we investigate whether the active redundancy at the component level is more effective than that at the system level with respect to ageing faster orders, for a coherent system. Furthermore, a used coherent system and a coherent system made out of used components are compared with respect to ageing faster orders.

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“…Most of the literature on this topic concentrates on the stochastic comparisons of system lifetimes or improvements in system reliability from the viewpoint of deterministic assemble strategies. See, for example, Shaked and Shanthikumar (1992), Singh and Singh (1997), Misra et al (2009), Ding and Li (2012), Da and Ding (2016), Fang and Li (2017), and the references therein. Typically, the most reliable system is found to be the one consisting of the most reliable components.…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis of k-out-of-n systems based on a grouping of components

2019

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In this paper we treat a two-stage grouping procedure of building a k-out-of-n system from several clusters of components. We use a static framework in which the component reliabilities are fixed. Under such a framework, we address the impact of the selecting strategies, the sampling probabilities, and the component reliabilities on the constructed system’s reliability. An interesting finding is that the level of component reliabilities could be identified as a decisive factor in determining how the selecting strategies and the component reliabilities affect the system reliability. The new results generalize and extend those established earlier in the literature such as Di Crescenzo and Pellerey (2011), Hazra and Nanda (2014), Navarro, Pellerey, and Di Crescenzo (2015), and Hazra, Finkelstein, and Cha (2017). Several Monte Carlo simulation experiments are provided to illustrate the theoretical results.

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Component Level Versus System Level -Out-of- Assembly Systems

Cited by 21 publications

References 25 publications

Component and system active redundancies for coherent systems with dependent components

Component and system active redundancies for coherent systems with dependent components

On relative ageing of coherent systems with dependent identically distributed components

Reliability analysis of k-out-of-n systems based on a grouping of components

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