Abstract We developed a model that integrates the schedule of a sequence of resumable jobs and inspection policy for the processing of n jobs with different processing times in a single-component system, whose failures follow a two-stage process. The assignment of inspections is performed at the beginning of the job; if an inspection detects the system to be in a defective state, preventive replacement is performed, whereas if the system fails, minimal repair is carried out to restore the system to an operational condition in the defective state. Analytical and simulation models are proposed to establish the best sequence of jobs and inspections that minimize the expected total cost. The expected total cost is composed of expected maintenance cost and expected tardiness cost. We present a numerical study that demonstrates the importance of integrating inspection policy with the sequencing of jobs, as such integration can lead to a significant cost reduction. The most interesting insights brought by the model highlight the importance of the effectiveness of maintenance actions (perform actions in smaller time and less cost), as well as the importance of deciding the correct moment to do them, considering the sequence of jobs.

中文翻译：

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可恢复作业生产调度与检验计划集成模型

摘要 我们开发了一个模型，该模型将一系列可恢复作业的调度和检查策略集成在一起，用于在单组件系统中处理具有不同处理时间的 n 个作业，其故障遵循两个阶段的过程。检查任务在工作开始时进行；如果检查检测到系统处于故障状态，则执行预防性更换，而如果系统出现故障，则进行最少的维修以将系统恢复到故障状态下的运行状态。建议使用分析和模拟模型来建立最佳作业和检查顺序，从而最大限度地降低预期总成本。预期总成本由预期维护成本和预期迟到成本组成。我们提出了一项数值研究，证明了将检查政策与工作排序相结合的重要性，因为这种集成可以显着降低成本。该模型带来的最有趣的见解突出了维护操作（以更短的时间和更低的成本执行操作）的有效性的重要性，以及在考虑工作顺序的情况下决定执行这些操作的正确时机的重要性。