非立即性退化性商品具有限壽命及時變需求率可部分回補缺貨之存貨模型

Partial Backlogging Inventory model for Non-Instantaneous Deterioration Items with Maximum Lifetime and Time-Variable Demand

林文豐(Wen-Feng Lin)

《管理實務與理論研究》 9卷1期 (2015/03) Pp. 1-20

https://doi.org/10.29916/JMPP.201503_9(1).0001

摘要

本文提出的經濟訂購量存貨模型主要探討非立即性退化性商品在具有限的壽命下零售商的訂貨方式，商品的需求率考慮與時間次方有關的指數型函數型式且銷售過程若有短缺可部分回補缺貨。考慮的成本因素包含庫存成本、短缺回補成本、訂貨成本、退化成本、少賣損失成本以及購買成本等，兩個決策變數為存貨量為零的時間及訂貨週期。文章中將針對探討的模型提出演算法來找出最適的訂購週期及訂購量，使得整個訂購週期內具有最小的總平均存貨成本，其後以例題說明並做靈敏度分析及提出相關觀點。

關鍵字

存貨 ； 經濟訂購量 ； 退化 ； 短缺回補 ； 需求率

並列摘要

In this article, we propose an economic order quantity inventory model for non-instantaneous deterioration items not only deteriorate continuously but also have their maximum lifetime. The demand rate varies by time in each cycle and follows a power pattern. Shortages are allowed and partially backlogged. The considered cost are holding cost, backlogging cost, ordering cost, deteriorated cost, lost sale cost and purchasing cost. The two decision variables are the time at which the inventory level falls to zero and the length of the scheduling period. An algorithm is proposed to minimize the total cost per inventory cycle and to find the optimal ordering period and quantity. Numerical examples and sensitivity analysis are provided to illustrate the proposed model.

並列關鍵字

Inventory ； Economic Order Quantity ； Deterioration ； Backlogging ； Demand Rate

參考文獻

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