在過去的十年期間,經濟生產批量模式與其相關的研究受到許多學者的注意與研究,然而將經濟生產批量模式結合隨機產品生產週期與金錢的時間價值,並沒有太多的相關研究。因此本論文主要的目的是著重在發展結合隨機產品生命週期的經濟生產批量模式,同時考慮金錢的時間價值與通貨膨脹因素,除了指數分配之外,也考慮常態分配作為隨機產品生命週期的機率分配,在模式中也加入了損耗性存貨及單位生產生隨時間而改變的特性,利用一維搜尋法中的黃金分割搜尋法求解本文模文的最佳解,以敏感度分析來說明模式參數對模式的影響及本文結論。
For decades, the Economic Production Quantity (EPQ) model and its variations have received much attention from researchers. However, EPQ models incorporating a random product life cycle and the time-value of money have not been researched much. The main purpose of this paper is to develop an EPQ model with a random product life cycle, and considers the time-value of money effect and inflation. We consider the normal distribution as a product life cycle besides the exponential distribution. Furthermore, we also consider deteriorating item inventory and time varying unit production cost. Golden Section Search, a kind of One-Dimensional Search approach, is used to solve the optimal solution of the inventory model. A sensitivity analysis has been conducted to show how certain parameters affect the enterprise’s performance.