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Modelling inspection and replacement quality for a protection system

机译：为保护系统建模检查和更换质量

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摘要

An inspection and replacement policy for a protection system is described by a mathematical model that incorporates multiple aspects of maintenance quality. A three-state component failure model is assumed, with a defective state preceding failure. The quality of maintenance intervention is modelled by supposing that inspections may misclassify defects (false positives and false negatives) and further that an inspection may induce a defect. The quality of replacement is modelled by supposing that a component arises from a heterogeneous population, composed of weak and strong items and with the mixing parameter determining quality. Isolation valves used in water distribution systems motivate the model development, and a case study is considered in this context. We evaluate the impact of these aspects of the quality of maintenance upon cost and production losses. Defect induction is found to be a key determinant of the cost-optimal policy. The proposed model allows us to verify conditions that justify investment in higher quality maintenance, and thus to provide guidance for prioritization of this investment.
机译：通过包含维护质量多个方面的数学模型来描述保护系统的检查和更换策略。假定一个三态组件故障模型，其中故障之前有缺陷状态。维护干预的质量是通过以下假设来建模的：假设检查可能会错误分类缺陷（误报和误报），而且检查可能会导致缺陷。替代质量的模型是假设组件来自异质总体，由弱项和强项组成，并且混合参数决定了质量。配水系统中使用的隔离阀促进了模型的开发，并在此情况下考虑了案例研究。我们评估维护质量的这些方面对成本和生产损失的影响。发现缺陷诱导是成本最优策略的关键决定因素。所提出的模型使我们能够验证条件，以证明有理由投资进行更高质量的维护，从而为该投资的优先次序提供指导。

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