In this paper, an EOQ inventory model is developed for deteriorating items with variable rates of deterioration and conditions of grace periods when demand is a quadratic function of time. The deterioration rate consi...In this paper, an EOQ inventory model is developed for deteriorating items with variable rates of deterioration and conditions of grace periods when demand is a quadratic function of time. The deterioration rate considered here is a special type of Weibull distribution deterioration rate, i.e., a one-parameter Weibull distribution deterioration rate and it increases with respect to time. The quadratic demand precisely depicts of the demand of seasonal items, fashion apparels, cosmetics, and newly launched essential commodities like android mobiles, laptops, automobiles etc., coming to the market. The model is divided into three policies according to the occurrence of the grace periods. Shortages, backlogging and complete backlogging cases are not allowed to occur in the model. The proposed model is well-explained with the help of a simple solution procedure. The three numerical examples are taken to illustrate the effectiveness of the EOQ inventory model along with sensitivity analysis.展开更多
缺货问题是库存管理中常见问题之一。现有的库存控制模型通常采用延期满足或依靠安全库存来解决缺货的情况。然而,延期满足会对顾客体验和企业形象产生负面影响,可能引发顾客抱怨和需求转移等风险。本文发现允许缺货和不合格品的经济订...缺货问题是库存管理中常见问题之一。现有的库存控制模型通常采用延期满足或依靠安全库存来解决缺货的情况。然而,延期满足会对顾客体验和企业形象产生负面影响,可能引发顾客抱怨和需求转移等风险。本文发现允许缺货和不合格品的经济订货数量(Economic Order Quantity,EOQ)模型在一个特定的允许缺货和不合格品的库存系统中,其年缺货量是一个确定的值。首先,引入转运思想,将基础模型中的缺货量转化为增加一次订货的转运来满足需求。通过对基础模型进行改进,在以最小化库存总成本为目标的基础上,平衡库存成本的构成,构建一种允许缺货和不合格品的改进转运EOQ模型。该模型旨在减少缺货损失,及时有效地满足顾客需求,并优化库存成本。然后,分析比较了模型改进前后转运对库存成本的影响,并确定了改进转运EOQ模型的实施条件,即缺货成本不小于缺货量的持有成本与转运订货成本之和。最后,通过算例验证了本文提出模型的可行性和有效性。研究结果表明,适量的缺货可以降低库存成本。通过转运将缺货成本转化为订货成本和持有成本,可以进一步降低允许缺货和不合格品EOQ模型的库存成本,并避免缺货发生。这对于进一步降低库存成本、减少缺货损失、及时满足需求以减少需求转移风险非常有利,同时也提供了一种降低库存成本的新思路。展开更多
文摘In this paper, an EOQ inventory model is developed for deteriorating items with variable rates of deterioration and conditions of grace periods when demand is a quadratic function of time. The deterioration rate considered here is a special type of Weibull distribution deterioration rate, i.e., a one-parameter Weibull distribution deterioration rate and it increases with respect to time. The quadratic demand precisely depicts of the demand of seasonal items, fashion apparels, cosmetics, and newly launched essential commodities like android mobiles, laptops, automobiles etc., coming to the market. The model is divided into three policies according to the occurrence of the grace periods. Shortages, backlogging and complete backlogging cases are not allowed to occur in the model. The proposed model is well-explained with the help of a simple solution procedure. The three numerical examples are taken to illustrate the effectiveness of the EOQ inventory model along with sensitivity analysis.
文摘缺货问题是库存管理中常见问题之一。现有的库存控制模型通常采用延期满足或依靠安全库存来解决缺货的情况。然而,延期满足会对顾客体验和企业形象产生负面影响,可能引发顾客抱怨和需求转移等风险。本文发现允许缺货和不合格品的经济订货数量(Economic Order Quantity,EOQ)模型在一个特定的允许缺货和不合格品的库存系统中,其年缺货量是一个确定的值。首先,引入转运思想,将基础模型中的缺货量转化为增加一次订货的转运来满足需求。通过对基础模型进行改进,在以最小化库存总成本为目标的基础上,平衡库存成本的构成,构建一种允许缺货和不合格品的改进转运EOQ模型。该模型旨在减少缺货损失,及时有效地满足顾客需求,并优化库存成本。然后,分析比较了模型改进前后转运对库存成本的影响,并确定了改进转运EOQ模型的实施条件,即缺货成本不小于缺货量的持有成本与转运订货成本之和。最后,通过算例验证了本文提出模型的可行性和有效性。研究结果表明,适量的缺货可以降低库存成本。通过转运将缺货成本转化为订货成本和持有成本,可以进一步降低允许缺货和不合格品EOQ模型的库存成本,并避免缺货发生。这对于进一步降低库存成本、减少缺货损失、及时满足需求以减少需求转移风险非常有利,同时也提供了一种降低库存成本的新思路。
