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

“…For example, Boland et al [4] and Shaked and Shanthikumar [22] studied the allocation problem for series and parallel systems using the stochastic order as a criterion for comparison, whereas Singh and Misra [24] and Romera et al [21] used the precedence order. Valdés and Zequeira [27] and more recently Li et al [16] also provided optimal allocation but using the hazard rate order and the increasing concave order, respectively.…”

Section: Introductionmentioning

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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“…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: 93%

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

Cited by 46 publications

References 5 publications

On the optimal allocation of active redundancies in series system

On the optimal allocation of active redundancies in series system

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

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

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