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Optimum preventive maintenance policies for systems subject to random working times, replacement, and minimal repair

机译：针对随机工作时间，更换和维修最少的系统的最佳预防性维护策略

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摘要

This paper proposes, from the economical viewpoint of preventive maintenance in reliability theory, several preventive maintenance policies for an operating system that works for jobs at random times and is imperfectly maintained upon failure. As a failure occurs, the system suffers one of two types of failure based on a specific random mechanism: type-Ⅰ (repairable) failure is rectified by a minimal repair, and type-Ⅱ (non-repairable) failure is removed by a corrective replacement. First, a modified random and age replacement policy is considered in which the system is replaced at a planned time T, at a random working time, or at the first type-Ⅱ failure, whichever occurs first. Next, as one extended model, the system may work continuously for N jobs with random working times. Finally, as another extended model, we might consider replacing an operating system at the first working time completion over a planned time T. For each policy, the optimal schedule of preventive replacement that minimizes the mean cost rate is presented analytically and discussed numerically. Because the framework and analysis are general, the proposed models extend several existing results.
机译：本文从可靠性理论的预防性维护的经济学观点出发，提出了一种针对随机工作且在故障时无法完美维护的操作系统的几种预防性维护策略。当发生故障时，系统会基于特定的随机机制遭受两种类型的故障之一：Ⅰ型（可修复）故障通过最小程度的修复得以纠正，而Ⅱ型（不可修复）故障通过纠正措施得到消除。替代。首先，考虑修改后的随机和年龄替换策略，其中在计划的时间T，随机的工作时间或在第一个II类故障（以先到者为准）中替换系统。接下来，作为一种扩展模型，系统可以连续工作N个作业，且工作时间随机。最后，作为另一个扩展模型，我们可以考虑在计划的时间T内的第一个工作时间完成时替换操作系统。对于每个策略，将通过分析方式提出并以数字方式讨论使平均成本率最小化的最佳预防性替换计划。由于该框架和分析是通用的，因此所提出的模型扩展了多个现有结果。

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