本研究探討單一零售商與單一產品所建構的產銷系統。產品符合季節樣式需求(season pattern demand)，再補貨量的時間會橫跨多個季節區段，因此必須面對「何時訂購」與「訂購多少數量」兩個問題點。本研究發展一時間、價格及負指數結合的確定型需求模型，藉由數學軟體Mathematica 5.0進行模擬分析，與參數敏感度分析，討論各參數對於總利潤及訂購政策所造成的影響。之後利用缺貨EOQ檢驗研究結果，比較各項成本因素，尋找最適當的推導架構，本研究更進一步提出修正後EOQ公式，簡化本研究複雜計算過程，求得零售商最佳補貨時點與最佳訂購數量。 In this paper, we discuss a system for manufacturer-retailer channel by single retailer and single production. Because the production follows a seasonal pattern demand, the replenishment intervals will cross many season zones. We must face the problem of (i) how many season intervals should replenishment (ii) how many restock should order. This paper developed a deterministic inventory model in which time, price and negative exponential are combined. Our analysis and simulation by Mathematica 5.0, and we use sensitive analysis to compare the affect of parameters for total profit and order policy. We check the results of experiment by EOQ of stock-out, and compare all kinds of cost to try searching the best structure. Further, the paper developed a modified EOQ model to find the best replenishment time and order quantity, and simplify complicated calculate process simultaneously.
