Two-Warehouse Inventory Model with Partial Backordering and Weibull Distribution Deterioration under Inflation

服從韋伯分配之損耗性商品在允許部份補貨及考慮通貨膨脹下之雙倉儲存貨模式

10.29977/JCIIE.200511.0002

黃惠民(Hui-Ming Wee)；游兆鵬(Jonas C. P. Yu)；羅時添(S. T. Law)

雙倉儲 ； 韋伯分配 ； 部份補貨 ； 通貨膨脹 ； Two-warehouse ； Weibull distribution ； Partial backorder ； Inflation

工業工程學刊

22卷6期（2005 / 11 / 01）

451 - 462

英文

面對微利時代的來臨，有效的降低成本已成為企業提升競爭力的不二法門，「如何有效地使用倉儲空間」就是企業達成此目標的一項重要課題。本研究主要考慮單一商品，此商品為一種服從二參數韋伯分配的損耗性商品；當商品面臨通貨膨脹且允許部份補貨的現實條件下，在雙倉儲（自有及租賃）的決策選擇上做探討。本研究基於以上的假設建立一數學模式，並以現金流量折現法與軟體程式尋求最佳解。透過數值範例說明與敏感度分析來瞭解影響系統之關鍵因素，試圖尋求出最適當之訂購週期與訂購量，以達到單位總成本現值最小化。

In this study, a two-warehouse inventory model with partial backordering and Weibull distribution deterioration is developed. We consider inflation and apply the discounted cash flow in problem analysis. The discounted cash flow (DCF) and optimization framework are presented to derive the optimal replenishment policy that minimizes the total present value cost per unit time. A numerical example and sensitivity analysis are presented to illustrate the model. When only rented or own warehouse is considered, the present value of the total relevant cost is higher than the case when two-warehouse is considered. From the sensitivity analysis, we show that the total cost of the system is influenced by the deterioration rate, the inflation rate and the backordering ratio.

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