On the optimal allocation of an active redundancy in a two-component series system

Valdés, José E.; Zequeira, Rómulo I.

doi:10.1016/s0167-7152(03)00098-1

Cited by 45 publications

(26 citation statements)

References 4 publications

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“…For examples and applications of these notions in system reliability see Valdés and Zequeira [26] and Kochar and Xu [ [13], [14]], or in a different context, see for example, Finkelstein [10].…”

Section: Preliminariesmentioning

confidence: 99%

Allocation Policies of Redundancies in Two-Parallel-Series and Two-Series-Parallel Systems

Laniado

Lillo

2014

IEEE Trans. Rel.

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In this paper comparisons of allocation policies of components in twoparallel-series systems with two types of components are provided with respect to both, the hazard rate and the reversed hazard rate orders. The main results indicate that the life of this kind of system is stochastically maximized by unbalancing as much as possible the two classes of components. We only assume that the two distributions implied in the model have proportional hazard rates. The same type of comparisons are also given for the dual model, the two-series-parallel systems but assuming that the distributions implied in the model have proportional reversed hazard rates, and therefore the final conclusion is the opposite; that is, the reliability of the system improves as the similarity between the two parallel subsystems increases.Keywords: Parallel-series system, series-parallel system, redundancy, hazard rate order, reversed hazard rate order, proportional hazard rates. AbstractIn this paper comparisons of allocation policies of components in two-parallel-series

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Section: Preliminariesmentioning

confidence: 99%

Allocation Policies of Redundancies in Two-Parallel-Series and Two-Series-Parallel Systems

Laniado

Lillo

2014

IEEE Trans. Rel.

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“…We want to obtain the best allocation strategy that maximizes reliability of our system. Similar and more general settings for systems without load sharing are widely studied in the literature (see, e.g., Boland et al [2], Brito et al [3], Misra and Misra [15], Misra et al ([16], [17]), Romera et al [19], Valdéz and Zequeira ( [24], [25])) However, to the best of our knowledge, there are no relevant results in the literature for the load sharing systems with arbitrary distributions of component's lifetimes. The obtained in this paper results have a clear intuitive meaning similar to the case of 'ordinary' redundancy (without load sharing).…”

Section: Introductionmentioning

confidence: 94%

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

Finkelstein

Hazra

2016

Prob. Eng. Inf. Sci.

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We study the allocation strategies for redundant components in the load-sharing series/parallel systems. We show that under the specified assumptions, the allocation of a redundant component to the stochastically weakest (strongest) component of a series (parallel) system is the best strategy to achieve its maximal reliability. The results have been studied under cumulative exposure model and for a general scenario as well. They have a clear intuitive meaning, however, the corresponding additional assumptions are not obvious, which can be seem from the proofs of our theorems.

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“…The case of X i = st Y i , i = 1, 2 is also of great interest. Proposition 3 in [18] claims that there is generally no hazard rate order between N 1 and N 2 under the condition that X 1 ≤ hr X 2 . Actually, even for a simple case such as of exponential distributed components, the foregoing claim still holds, as shown in Fig.…”

Section: Allocation Of Active Redundanciesmentioning

confidence: 99%

Allocation of two redundancies in two-component series systems

Zhao

Chan

et al. 2013

Naval Research Logistics

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The allocation of redundancies in a system to optimize the reliability of system performance is an interesting problem in reliability engineering and system security. In this article, we focus on the optimal allocation of two exponentially distributed active (standby) redundancies in a two‐component series system using the tool of stochastic ordering. For the case of active redundancy, stochastic comparisons are carried out in terms of the likelihood ratio and reversed hazard rate orders. For the case of standby redundancy, a likelihood ratio ordering result is developed. The results established here generalize and strengthen corresponding results in the recent literature. In addition, several numerical examples are used to explicate the results. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013

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On the optimal allocation of an active redundancy in a two-component series system

Cited by 45 publications

References 4 publications

Allocation Policies of Redundancies in Two-Parallel-Series and Two-Series-Parallel Systems

Allocation Policies of Redundancies in Two-Parallel-Series and Two-Series-Parallel Systems

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

Allocation of two redundancies in two-component series systems

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