A manufacturer’s choice between full inspection and sampling inspection can significantly impact economic production lot sizing decision for items with imperfect quality and inspection errors. This can further change depending on whether the manufacturer opts for on-line or off-line inspection. The present literature does not consider on-line inspection in the context of acceptance sampling for economic production lot sizing decision problem. In this paper, we develop an on-line sampling inspection model and argue that the choice between full inspection and sampling inspection usually depends on the threshold level of unit inspection cost. Our paper leads to several significant findings. Firstly, we establish that such an on-line sampling inspection scheme can lead to significant savings in inventory holding costs and lead to higher optimal expected profit. Secondly, we establish the intuitively anticipated result that for high unit inspection costs, on-line sampling leads to a higher optimal expected profit than a full inspection. Contrary to the common intuition, we also show that, even when inspection costs are low, sampling inspection could still be more profitable than full inspection in many situations. Finally, we establish that on-line sampling inspection provides a higher optimal expected profit than the usually preferred off-line sampling inspection. We also discuss the impact of relaxing some of the standard assumptions. In addition to our theoretical findings, through a detailed numerical analysis, we present the impact of changes in various parameters, particularly true defective fraction, proportion of inspection errors, sample size, rework effectiveness, and unit inspection cost on the choices between full versus sampling inspection.

制造商在全面检验和抽样检验之间的选择会显着影响质量不完善和检验错误的项目的经济生产批量大小决策。这可以根据制造商是选择在线检查还是离线检查而进一步改变。目前的文献没有考虑在经济生产批量大小决策问题的验收抽样的背景下进行在线检验。在本文中，我们开发了一个在线抽样检验模型，并认为全检和抽样检验之间的选择通常取决于单位检验成本的阈值水平。我们的论文得出了几个重要的发现。首先，我们确定这种在线抽样检验方案可以显着节省库存持有成本，并带来更高的最佳预期利润。其次，我们建立了直观预期的结果，对于高单位检验成本，在线抽样比全检带来更高的最优预期利润。与通常的直觉相反，我们还表明，即使在检验成本较低的情况下，抽样检验在许多情况下仍可能比全面检验更有利可图。最后，我们确定在线抽样检查提供了比通常首选的离线抽样检查更高的最佳预期利润。我们还讨论了放宽一些标准假设的影响。除了我们的理论发现，通过详细的数值分析，