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<p>In this work, we consider coherent systems built of components with independent identically distributed (iid) lifetimes with the same number of components in minimal paths. We present a hypothesis that such a system with iid components preserves increasing failure rate (IFR) property. It means that if components have the IFR property, then the system does. Our investigations allow us to present three cases of system construction in which the hypothesis is true.</p>

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Preservation of IFR property under the construction of systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月7日

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  • Jagoda Papis,
  • Magdalena Szymkowiak

摘要

In this work, we consider coherent systems built of components with independent identically distributed (iid) lifetimes with the same number of components in minimal paths. We present a hypothesis that such a system with iid components preserves increasing failure rate (IFR) property. It means that if components have the IFR property, then the system does. Our investigations allow us to present three cases of system construction in which the hypothesis is true.