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首页> 外文期刊>International Journal of Production Research >Economic design of offline inspections for a batch production process
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Economic design of offline inspections for a batch production process

机译：批量生产过程中离线检查的经济设计

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摘要

We consider a batch production process that can be either stable or unstable, in which inspection is performed offline after production of the batch is completed. The quality of a batch can be estimated with a desired level of certainty by inspecting only a sample of its units. In order to minimise the expected total cost per batch, which includes the costs of inspection, of false acceptance and of false rejection, we propose an economic inspection plan in which only a fraction of the batches, rather than each batch, is inspected. We prove that the expected total cost is a strictly quasiconvex function of the inspection interval. We establish necessary and sufficient conditions for the optimal inspection interval to be finite and propose an efficient algorithm to obtain its value. We demonstrate for the case of a single-sampling plan where the proposed economic approach outperforms the common procedure of inspecting every batch, and the proposed algorithm is very efficient.
机译：我们考虑了可以稳定或不稳定的批生产过程，其中在批生产完成后离线进行检查。通过仅检查其单位样本，可以以所需的确定性水平估计批次的质量。为了使每批次的预期总成本（包括检查，错误接受和错误拒绝的成本）最小化，我们提出了一种经济检查计划，其中仅检查了一部分批次，而不是每个批次。我们证明预期总成本是检验间隔的严格拟凸函数。我们为最优检查间隔确定了必要的充分条件，并提出了一种有效的算法来获取其值。对于单采样计划，我们证明了所提出的经济方法优于检查每个批次的通用程序，并且所提出的算法非常有效。

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