摘要

本研究針對機器不可靠及重製製程之生產系統進行其最佳經濟生產批量之探討。此系統為一包含原料、瑕疵品及製成品等多種存貨型態的生產管理系統，當考慮系統內機器不可靠及瑕疵品需重製加工時，則可能因機器的損壞、機器的修復及重製情形之不同，造成批次之生產週期及其相關成本之差異。機器的不可靠性及重製特性將造成批次生產週期的延長；就成本而言，則包含額外的儲存成本、額外的機器整備成本、機器的修復成本及瑕疵品的存貨成本。
針對上述問題，本研究以隨機模式與傳統之存貨水準相對時間變化圖為工具，根據重新報酬理論，建構期望總生產存貨成本及期望生產週期時間模式，以最小化單位時間期望總成本為目標，求得最佳之經濟生產批量。期望總成本則包含原料及瑕疵品兩種生產階段的期望整備成本、各種存貨型態的期望儲存成本以及機器的期望修復成本。
本研所發展之模式可求得考慮瑕疵品且須重製加工之不可靠生產系統經濟生產批量及其相對之最小單位時間總期望存貨成本，研究中發現在假設生產批量為連續下，則單位時間的期望總存貨成本函數可能為凸函數（convex）或片斷式凸函數；而瑕疵品比例、機器損壞間隔時間以及機器修復時間對於經濟批量和單位時間存貨成本會有顯著之影響；另外，在模式推導中雖然使用到泰勒展開式去近似，但誤差值均很小可以忽略不計，因此使用泰勒展開式去近似不但可以免於推導上的困難且非常合適。

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