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<p>The basic structures of many real-life systems match with random weighted coherent systems. The performance of such a system is normally measured by its total capacity. However, the major drawback of this measure is that it does not take into account the structure of a system. To circumvent this drawback, we introduce a new structure-based performance measure, namely, the failure capacity. Based on this measure, we subsequently define three different failure mechanisms for random weighted coherent systems. Further, we investigate the optimal active redundancy allocation policy and the optimal strategy for assembling random weights in a random weighted coherent system. Moreover, several numerical examples are provided to demonstrate the theoretical findings of this paper.</p>

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On different failure mechanisms of random weighted coherent systems based on a new structure-based performance measure

  • 期刊论文

  • 发表日期：

    2026年7月7日

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  • Tanmay Sahoo,
  • Nil Kamal Hazra,
  • Narayanaswamy Balakrishnan

摘要

The basic structures of many real-life systems match with random weighted coherent systems. The performance of such a system is normally measured by its total capacity. However, the major drawback of this measure is that it does not take into account the structure of a system. To circumvent this drawback, we introduce a new structure-based performance measure, namely, the failure capacity. Based on this measure, we subsequently define three different failure mechanisms for random weighted coherent systems. Further, we investigate the optimal active redundancy allocation policy and the optimal strategy for assembling random weights in a random weighted coherent system. Moreover, several numerical examples are provided to demonstrate the theoretical findings of this paper.