A Note on the Mean Residual Life Function of a Parallel System

Asadi, Majid; Bayramoğlu, İsmihan

doi:10.1080/03610920509342434

Cited by 39 publications

(41 citation statements)

References 6 publications

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“…Among the researchers who investigated the reliability and aging properties of the conditional random variable , , r k n t T , under various conditions and for different values of k and r , we can refer to Bairamov et al [1], Asadi and Bairamov [2,3], Asadi and Goliforushani [4], Li and Zhao [5] and Zhang and Yang [6]. The extension to coherent systems has also been considered by several authors; see, among others, Li and Zhang [7], Navarro et al [8], Zhang [9,10], Zhang and Li [11], Asadi and Kelkin Nama [12], and references therein.…”

Section: T T T T T R K K Nmentioning

confidence: 99%

The Mean Residual Lifetime of (n － k + 1)-out-of-n Systems in Discrete Setting

Siahboomi¹

2014

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In real life, there are situations in which the lifetime of the components of a technical system (and hence the lifetime of the system) is discrete. In this paper, we study the residual life, a (n − k + 1)-out-of-n system under the assumptions that the components of the system are independent identically distributed with common discrete distribution function F. We define the mean residual lifetime (MRL) of the system and under different scenarios investigate several aging and stochastic properties of MRL.

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Section: T T T T T R K K Nmentioning

confidence: 99%

The Mean Residual Lifetime of (n － k + 1)-out-of-n Systems in Discrete Setting

Siahboomi¹

2014

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“…Asadi & Bairamov [2,3] developed the MRL function at the system level, and considered the MRL function of a k− out-of −n system under the condition that at least r (r ≤ n) components of the system are still functioning. The important property of an MRL function at the system level is that the survival function involves the joint distributions of order statistics constructed from the individual lifetimes of the components.…”

Section: The Mean Residual Life (Mrl) Function Of An Arcl Systemmentioning

confidence: 99%

Reliability and mean residual life functions of coherent systems in an active redundancy

Kavlak

2017

Naval Research Logistics

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Abstract:In this article, the reliability and the mean residual life (MRL) functions of a system with active redundancies at the component and system levels are investigated. In active redundancy at the component level, the original and redundant components are working together and lifetime of the system is determined by the maximum of lifetime of the original components and their spares. In the active redundancy at the system level, the system has a spare, and the original and redundant systems work together. The lifetime of such a system is then the maximum of lifetimes of the system and its spare. The lifetimes of the original component and the spare are assumed to be dependent random variables

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“…Recently, Hashemi et al (2010) have studied some properties of the residual lifetime of progressively type II right censored order statistics (PCOSs). For comprehensive review and applications of the mean residual function, we refer, for example, to Guess and Proschan (1988), Bairamov et al (2002), Asadi and Bayramoglu (2005) and Asadi and Bayramoglu (2006).…”

Section: Introductionmentioning

confidence: 99%

Bounds on the mean residual lifetime of progressive type II right censored order statistics

Raqab

2014

J Stat Distrib App

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In this paper, we present some sharp upper bounds on the deviations of the mean residual lifetime of progressive type II right censored order statistics from the mean residual lifetime, m(t) = E(X t ) = E(X − t|X > t), for arbitrary t > 0. We also describe the distributional forms for which the bounds are attained. The obtained bounds are numerically evaluated and compared with other classical rough ones.

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A Note on the Mean Residual Life Function of a Parallel System

Cited by 39 publications

References 6 publications

The Mean Residual Lifetime of (<i>n</i> － <i> k</i> + 1)-out-of-<i>n</i> Systems in Discrete Setting

The Mean Residual Lifetime of (<i>n</i> － <i> k</i> + 1)-out-of-<i>n</i> Systems in Discrete Setting

Reliability and mean residual life functions of coherent systems in an active redundancy

Bounds on the mean residual lifetime of progressive type II right censored order statistics

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A Note on the Mean Residual Life Function of a Parallel System

Cited by 39 publications

References 6 publications

The Mean Residual Lifetime of (&lt;i&gt;n&lt;/i&gt; － &lt;i&gt; k&lt;/i&gt; + 1)-out-of-&lt;i&gt;n&lt;/i&gt; Systems in Discrete Setting

The Mean Residual Lifetime of (&lt;i&gt;n&lt;/i&gt; － &lt;i&gt; k&lt;/i&gt; + 1)-out-of-&lt;i&gt;n&lt;/i&gt; Systems in Discrete Setting

Reliability and mean residual life functions of coherent systems in an active redundancy

Bounds on the mean residual lifetime of progressive type II right censored order statistics

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The Mean Residual Lifetime of (<i>n</i> － <i> k</i> + 1)-out-of-<i>n</i> Systems in Discrete Setting

The Mean Residual Lifetime of (<i>n</i> － <i> k</i> + 1)-out-of-<i>n</i> Systems in Discrete Setting