考量時間限制與不良品之缺貨EOQ模式

EOQ Model with Time Constraint, Imperfect Items and Backorders

喬懷恩(Huai-En Chiao) ； 蘇玲慧(Ling-Huey Su) ； 黃惠民(Hui-Ming Wee)

《先進工程學刊》 2卷1期 (2007/01) Pp. 21-26

https://doi.org/10.29948/JAE.200701.0004

摘要

有鑒於傳統EOQ忽略商品品質，本研究延伸考量經由全檢將不良品刪除後所造成缺貨後補與失單的部份補貨問題。當缺貨期為顧客允許之限期內，顧客願無償等待補貨；若缺貨期大於此限期，賣方將產生缺貨成本；某些買方不願等待則發生賣方的失單成本。故依各缺貨狀況建立數學模式，進行每單位時間期望總利潤最大化及最適訂購量與欠撥量之評估。

關鍵字

缺貨欠撥 ； 不良品 ； 時間限制 ； EOQ模式

並列摘要

This study develops an EOQ model with time constraint, imperfect items and shortage backorders. In the traditional EOQ model, all items are assumed to be of perfect quality. However, in real life, not all items received in an inventory are of perfect quality. The imperfect-quality items are picked up during the 100% screening process and this would sometimes result in stockout. For a shortage period that is short within the time limit that the customers allow, some customers will be willing to wait for a new supply at no extra charge. If the delay time is too long, the seller will suffer a time-weighted penalty cost for backordering and a fraction of lost sell cost for lost customers. Therefore, a mathematical model is developed to derive the optimal order quantity and the backordering level such that the expected net profit per unit time is maximized.

並列關鍵字

backorders ； imperfect items ； time constraint ； EOQ