In this paper, we formulate and solve an Economic Production Quantity inventory model with deteriorating items. To reduce the rate of deterioration, we apply a preservation technology and calculate the amount for preservation technology investment. The demand function is dependent on stock-level and price. We assume that the production rate is linearly dependent on time, based on customer demand. Shortages are allowed in our consideration, and the shortages amount is partially backlogged for the interested customers for the next slot. The effect of inflation is incorporated, which indicates a critical factor in modern days. Our main objective is to find the optimal cycle length and the optimal amount of preservation technology investment by adjusting the inflation rate with maximizing the profit. A numerical example is provided to illustrate the features and advances of the model. A sensitivity analysis with respect to major parameters is performed in order to assess the stability of our model. The paper ends with a conclusion and an outlook at possible future directions.

中文翻译：

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在对价格和库存敏感的需求下，采用保鲜技术使库存恶化

在本文中，我们制定并解决了带有恶化项目的经济生产数量库存模型。为了降低劣化率，我们应用了一种保鲜技术并计算了保鲜技术投资的金额。需求函数取决于库存水平和价格。我们假设生产率是根据客户需求线性依赖于时间的。我们考虑允许出现短缺，并且有兴趣的客户在接下来的时间段会部分积压短缺量。结合了通货膨胀的影响，这表明了现代的一个关键因素。我们的主要目标是通过调整通货膨胀率并最大化利润来找到最佳的周期长度和最佳的保鲜技术投资额。提供了一个数值示例来说明模型的特征和改进。为了评估我们模型的稳定性，对主要参数进行了敏感性分析。本文以结论和对未来可能方向的展望作为结尾。