Optimal allocation policies for relevations in coherent systems

Ravi Kumar et al.

Advances in Applied Probability2026https://doi.org/10.1017/apr.2025.10051article
ABDC A
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0.50

Abstract

The relevation model is a fundamental tool in reliability engineering for assessing the effectiveness of redundancy allocation in coherent systems. In this study, we address the problem of allocation of relevations for one or two nodes in a coherent system with independent components to enhance system reliability. We establish results concerning the usual stochastic and hazard rate orders for coherent systems. Moreover, we illustrate our findings with a range of examples and counterexamples. In addition, we conduct a simulation-based study and a real data analysis to further illustrate the application of our results. Lastly, we study the case of the minimal repair policy in detail.

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https://doi.org/https://doi.org/10.1017/apr.2025.10051

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@article{ravi2026,
  title        = {{Optimal allocation policies for relevations in coherent systems}},
  author       = {Ravi Kumar et al.},
  journal      = {Advances in Applied Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1017/apr.2025.10051},
}

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Optimal allocation policies for relevations in coherent systems

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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