Abstract The purpose of this note is to serve as a revision to the article by Al-Salamah [2016, Economic production quantity in batch manufacturing with imperfect quality, imperfect inspection, and destructive and non-destructive acceptance sampling in a two-tier market, Computers & Industrial Engineering 93: 275-285]. We offer two modifications to the above paper. First, we demonstrate that the inventory computations by Al-Salamah (2016) are not entirely consistent with the process mentioned, as they do not account for the defective items sent to the primary market, and hence we offer a revision for the same. Second, we show that for non-destructive testing, the expected proportion of defective items in the accepted and rejected lots will be different from that of the production process, which is not accounted for in the original article. Finally, we demonstrate the impact of these revisions through numerical examples. After updating the sensitivity analysis with the proposed modifications, for the parameters used, expected cycle time values show similar trend for both destructive and non-destructive testing, which were otherwise different in the original paper.

中文翻译：

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关于“二级市场质量不完善、检验不完善、破坏性和非破坏性验收抽样的批量生产经济生产数量”的说明

摘要 本说明的目的是对 Al-Salamah [2016, 批量制造中的经济生产数量，质量不完善，检验不完善，破坏性和非破坏性验收抽样在一个二级市场，计算机与工业工程 93：275-285]。我们对上述论文提供了两个修改。首先，我们证明 Al-Salamah (2016) 的库存计算与上述过程并不完全一致，因为它们没有考虑发送到一级市场的有缺陷的物品，因此我们提供了相同的修订。其次，我们表明，对于无损检测，接受和拒绝批次中缺陷品的预期比例将与生产过程中的不同，原始文章中没有考虑这一点。最后，我们通过数值例子证明了这些修订的影响。在使用建议的修改更新敏感性分析后，对于所使用的参数，破坏性和非破坏性测试的预期周期时间值显示出相似的趋势，而原始论文中的其他方面则有所不同。