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Optimal control of work-in-process inventory of a two-station production line

机译：两站式生产线在制品库存的最佳控制

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Most production lines keep a minimal level of inventory stock to save storage costs and buffer space. However, the random nature of processing, breakdown, and repair times can significantly affect the efficiency of a production line and force the stocking of work-in-process inventory. We are interested in the case when starvation and blockage are preferentially avoided. In this study, a mathematical model has been developed using asymptotic approximation and simulation that provides asymptotic results for the expected value and the variance of the stock level in a buffer as a function of time. In addition, the functional relationship between buffer capacity and the first stopping time caused by starvation or blockage has been determined.
机译：大多数生产线都将库存量保持在最低水平，以节省存储成本和缓冲空间。但是，加工，故障和维修时间的随机性会严重影响生产线的效率，并迫使库存在制品库存。我们对优先避免饥饿和阻塞的情况感兴趣。在这项研究中，使用渐近逼近和仿真方法开发了一个数学模型，该模型提供了预期值和缓冲区中库存水平随时间变化的渐近结果。此外，已经确定了缓冲区容量和由于饥饿或堵塞导致的第一停车时间之间的功能关系。

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