Analysis of a Supply Chain Inventory System under Lot Splitting Policy

分散批量政策下之供應鍊存貨系統分析

供應商的前置時間假設為Gamma分配，批量品質用允收率來衡量，其和產品需求同樣假設為常態分配。在預設之服務率可以達成且其總存貨成本比單家供應商採購更低之下，買方將分散一部份之訂購量從第二家供應商採購。考慮其總運送成本，我們建立一個非線性模式，之後應用MS-EXCEL SOLVER來求得最低總成本並決定〈1〉最佳訂購量及訂購點〈2〉可接受之第二家供應商所提供之物品單價。

The lead times of the vendors are assumed to be Gamma distributions. The lot size quality, measured by the acceptance rate, and the product demand has a normal distribution. The buyer will split his replenishment order to the secondary vendor only if the prescribed service level is achieved and the dual-sourcing total cost should be at least as low as that in the single sourcing scenario. To analyze the cost economics, We apply MS-EXCEL SOLVER to search for the lowest total cost and determine: (1) the optimal values of (Q s) and (2) if the order is split, the upper bound unit price associated with the fraction ordered from the secondary supplier to make the order-splitting a worth-while policy.