In many inventory deterioration problems of real world, deterioration rate of some items may be affected by other adjacent items. Accordingly, the effect of deteriorated items on other items could be declined by removing them through inspection. In this sense, an inventory model for deteriorating items is introduced in this paper, considering the effect of inspection times during the replenishment period on average deterioration rate. Also, supplier is considered to impose some prepayments to the retailer. In the proposed model, the average deterioration rate is related to the number of inspections at each period. Likewise, to illustrate the uniqueness of the solution, the convexity of the model is proved. Moreover, the proposed model is validated by discussing and analyzing a case study in Iran through which noticeable results are achieved. The findings indicate that compared to previous models, the proposed model is superior in cost management.

在现实世界中许多库存恶化问题中，某些项目的恶化率可能会受到其他相邻项目的影响。因此，可以通过检查将劣化的物品去除，从而降低对其他物品的影响。从这个意义上讲，考虑到补货期间检查时间对平均劣化率的影响，本文引入了一种用于变质物品的库存模型。同样，供应商被认为向零售商强加了一些预付款。在建议的模型中，平均劣化率与每个时期的检查次数有关。同样，为了说明解的唯一性，证明了模型的凸性。此外，通过讨论和分析伊朗的案例研究对提出的模型进行了验证，通过该案例研究取得了显著成果。