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An optimal production lot-sizing problem for an imperfect process with imperfect maintenance and inspection time length

机译：具有不完善维护和检查时间长度的不完善过程的最佳生产批量确定问题

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摘要

This article develops an integrated model in considering the situations of an imperfect process with imperfect maintenance and inspection time for the joint determination of both economic production quantity (EPQ) and preventive maintenance (PM). This imperfect process has a general deterioration distribution with increasing hazard rate. Even with periodic PM, such a production system cannot be recovered as good as new. This means that the system condition depends on how long it runs. Also, the PM level can be distinct due to the maintenance cost. For convenience, it is assumed the age of system is reduced in proportional to the PM level. Further, during a production cycle, we need an inspection to see if the process is in control. This inspection might demand a considerable amount of time. In this article, we take PM level and inspection time into consideration to optimise EPQ with two types of out-of-control states. To see how the method works, we use a Weibull shock model to show the optimal solutions for the least costs.
机译：本文建立了一个综合模型，该模型考虑了具有不完善维护和检查时间的不完善过程的情况，以共同确定经济生产量（EPQ）和预防性维护（PM）。这种不完善的过程通常会随着危险率的增加而恶化。即使使用定期的PM，也无法像新的那样恢复这种生产系统。这意味着系统状况取决于运行时间。同样，由于维护成本，PM水平可能会有所不同。为方便起见，假定系统的使用寿命与PM等级成比例地降低。此外，在生产周期中，我们需要检查以查看过程是否处于受控状态。此检查可能需要相当长的时间。在本文中，我们考虑了PM级别和检查时间，以通过两种失控状态来优化EPQ。为了了解该方法的工作原理，我们使用了Weibull冲击模型来显示成本最低的最佳解决方案。

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