Abstract Repair delays are common in systems where failures are not self-revealed or in mission-critical systems where repairs cannot be conducted during a mission. The presence of repair delays may significantly affect the failure behavior of a system, but its impact has been largely overlooked in the literature. In this article, we propose a flexible intensity-based model for repairable systems subject to repair delays. Statistical inference of the model is discussed. In the presence of repair delays, the exact failure times are typically unavailable and the failures are only known to occur at times within intervals with known lower and upper bounds. In this case, the likelihood function is complicated. We introduce several efficient numerical integration methods to evaluate the likelihood function and investigate their performance through comprehensive simulations. Goodness-of-fit tests are used to check the adequacy of the baseline rate of occurrence of failures and the effect of repair delays. The proposed methods are demonstrated using maintenance data of a general infusion pump used in a hospital.

中文翻译：

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评估维修延误对可维修系统的影响

摘要 维修延迟在故障不会自我揭示的系统中或在任务期间无法进行维修的关键任务系统中很常见。修复延迟的存在可能会显着影响系统的故障行为，但其影响在很大程度上被文献忽视了。在本文中，我们提出了一个灵活的基于强度的模型，用于受修复延迟影响的可修复系统。讨论了模型的统计推断。在存在维修延迟的情况下，准确的故障时间通常不可用，并且故障仅在具有已知上下限的时间间隔内发生。在这种情况下，似然函数很复杂。我们介绍了几种有效的数值积分方法来评估似然函数并通过综合模拟研究它们的性能。拟合优度测试用于检查基准故障发生率和维修延迟的影响是否足够。使用医院中使用的通用输液泵的维护数据演示了所提出的方法。