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Optimization in Fuzzy Economic Order Quantity Model Involving Pentagonal Fuzzy Parameter
International Journal of Fuzzy Systems ( IF 3.6 ) Pub Date : 2021-06-22 , DOI: 10.1007/s40815-021-01111-z
S. Rajeswari , C. Sugapriya , D. Nagarajan , J. Kavikumar

In the classical EOQ model, acquiring cost of an order would be usually paid while receiving its receipt. Sometimes, the supplier may offer the retailer to pay the entire amount or the fraction of acquiring cost in advance as equal number of payments. The present research discusses the EOQ model with substandard products under fuzzy situation. This model deals with the advance payment on acquiring cost, products with substandard quality, and misclassification errors under repair option without scarcity by providing two models. The first model hypothesizes a remittance situation where the advance payment should be paid before the cycle time with some rate of interest which incurred by the supplier while the second model scrutinizes a situation where the prepayment occurs during the time length of the prior cycle which leads the supplier who would offer some price rebate on prepaid quantities. The proportion of improper items and the two kinds of screening errors are considered as the pentagonal fuzzy numbers [PFNs]. A fuzzy EOQ is framed for analyzing the sample, which can obtain the optimal solution. The impact of fuzziness on fraction of substandard products and investigation errors are illustrated for two models with appropriate examples.



中文翻译:

包含五边形模糊参数的模糊经济订货量模型的优化

在经典的 EOQ 模型中,通常在收到订单时支付订单的获取成本。有时,供应商可能会要求零售商预先支付全部或部分采购成本,作为等量的付款。本研究讨论了模糊情况下不合格产品的EOQ模型。该模型通过提供两种模型来处理采购成本的预付款、质量不合格的产品和维修选项下的错误分类错误。第一个模型假设一种汇款情况,即应在周期时间之前以供应商产生的一定利率支付预付款,而第二个模型则仔细检查在前一个周期的时间长度内发生预付款的情况,这导致对预付数量提供一些价格回扣的供应商。不正确项目的比例和两种筛选错误被认为是五边形模糊数[PFNs]。对样本进行模糊EOQ分析,得到最优解。并通过适当的例子说明了两个模型的模糊性对不合格产品比例和调查错误的影响。不正确项目的比例和两种筛选错误被认为是五边形模糊数[PFNs]。对样本进行模糊EOQ分析,得到最优解。并通过适当的例子说明了两个模型的模糊性对不合格产品比例和调查错误的影响。不正确项目的比例和两种筛选错误被认为是五边形模糊数[PFNs]。对样本进行模糊EOQ分析,得到最优解。并通过适当的例子说明了两个模型的模糊性对不合格产品比例和调查错误的影响。

更新日期:2021-06-29
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