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首页> 外文期刊>IEEE Transactions on Automatic Control >Optimal Production and Backordering Policy in Failure-Prone Manufacturing Systems
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Optimal Production and Backordering Policy in Failure-Prone Manufacturing Systems

机译：失误制造系统中的最优生产和缺货订货策略

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摘要

This note considers a failure-prone manufacturing system producing one part-type in discrete mode. The problem is to find the optimal integrated production and backordering policy, in which control decisions include how much the production rate should take when the machine is up and whether an unmet demand should be backorder or rejected. The optimal policy is proved to be a threshold control and can be characterized by three threshold parameters for both discounted cost and long-run average cost cases. The structural relationships between three threshold parameters are established. It is found that the completely back-ordering policy may be optimal for the discounted cost but will never be optimal for the average cost. In addition, the explicit form of the stationary distribution under such threshold policy is derived, which is then be used to calculate interesting steady-state performance measures and seek the optimal threshold values. A numerical example illustrates the results.
机译：本说明考虑了一种易于故障的制造系统，该系统以离散模式生产一个零件类型。问题是找到最佳的集成生产和缺货策略，其中控制决策包括在机器启动时应采取多少生产率以及是否应满足未满足需求或补货。最优策略被证明是阈值控制，并且可以通过三个阈值参数来表征折扣成本和长期平均成本情况。建立了三个阈值参数之间的结构关系。已经发现，完全的缺货订购策略对于折价成本可能是最佳的，但对于平均成本则永远不是最佳的。另外，推导了在这种阈值策略下平稳分布的显式形式，然后将其用于计算有趣的稳态性能指标并寻求最佳阈值。数值示例说明了结果。

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