臺灣博碩士論文加值系統

摘要
本研究目的在探討多樣產品於同一生產設備上之經濟生產批量問題。由於存貨的成本及生產線的設置成本佔企業經營資金相當高的比例，因此如何協助企業的生產部門訂定最佳存貨採購策略，以適時適量及最低成本提供生產所需，一直是許多研究者多年來致力於發展存貨訂購模型的目標。
經濟生產批量(EPQ)是計算單一產品經濟生產量的最佳化模式，由於產率經常遠大於需求率，因此只生產單一產品往往造成生產設備的閒置時間過長，而有效率的經營方法是讓多樣產品共用同一生產設備，可是多樣產品分別單獨以EPQ方式計算出之週期長度的不同，會造成共用設備時產品排程的不可行。因此使用Rotation Cycle方法，讓所有產品的週期長度相同並在同一週期長度內各生產一次，然而Rotation Cycle方法在循環排程上雖然是可行解，在成本上卻不一定是最佳解。因此本研究的目的即是要在Rotation Cycle的共用週期可行解基礎上，探討各產品不同的生產循環次數，先以兩樣產品為例分析其個別EPQ計算下週期之比率與在共同週期下分別生產循環次數之成本最佳化，及探討其生產排程可行性之限制條件為何，期望能發展一簡易可行法則讓多樣產品EPQ模式能比Rotation Cycle方法在成本上更經濟而不失可行性。
本研究期望發展出新的演算模式以提供比Rotation Cycle更佳之多樣產品EPQ總成本，並輔以相關參數之敏感度分析。
關鍵字：多樣產品之經濟生產批量分析(Multi-Item EPQ analysis)
週期循環模式（Rotation Cycle Model）
經濟生產批量（Economic Production Quantity，EPQ）

Abstract
The purpose of this research was to study of multiple-item economic production quantity model on a single production facility. Because considerable inventory holding costs and setup costs are incurred in the working capital of many companies, many researchers have devoted themselves to study the inventory replenishment problem for a long time. The main focus of their work is to assist corporations to determine the optimal ordering policies that give appropriate amount of inventories to meet the customers demand at the right time and with the lower cost.
A convenient way of determining optimal order quantity with a single production is the basic economic production quantity (EPQ) model. As a result of production rate has often larger than demand rate, there has longer idle time when the equipment produces a single production. A more efficient way is to make Multi-Item production on a single production facility, so used Rotation Cycle method. Although the total cost solution of Rotation Cycle Model is feasible but not is optimum.
For this reason, the purpose of this study was to develop a new calculative rule to provide lower total cost solution than Rotation Cycle Model.

Keyword：Multi-Item EPQ analysis；Rotation Cycle Model；Economic Production
Quantity.

目錄
摘要 i
Abstract ii
第一章 緒論 1
1-1研究背景 1
1-2研究動機與研究目的 2
1-3研究範圍與限制 5
第二章 文獻探討 7
2-1Rotation Cycle模式說明 7
2-2相關文獻探討 9
第三章 研究方法 13
3-1研究流程步驟 13
3-2多樣產品使用不同週期循環之EPQ模式結構描述及符號設定 13
3-2-1模式結構描述 13
3-2-2符號設定 16
3-3兩樣產品使用不同週期循環之EPQ模式法則推導及證明 19
3-3-1限制條件建構 19
3-3-2舉例驗證 30
3-3-3週期公式建構 33
3-3-4總成本公式建構 35
3-4多樣產品使用不同週期循環之EPQ模式法則推導及證明 36
3-4-1限制條件建構 36
3-4-2舉例驗證 44
3-4-3週期公式建構 58
3-4-4總成本公式建構 59
3-5循環次數比值整數化公式建構 60
3-6模式判別法則及計算流程 67
3-7導入設置時間之探討 69
3-8公式彙整 77
第四章 實例驗證與結果分析 78
4-1兩樣產品使用兩種週期循環生產之實例 78
4-1-1實例驗算 78
4-1-2結果分析 80
4-2多樣產品使用相同週期循環生產之實例 81
4-2-1實例驗算 81
4-2-2結果分析 83
4-3多樣產品使用兩種週期循環生產之實例 84
4-3-1實例驗算 84
4-3-2結果分析 86
4-4多樣產品使用多種週期循環生產之實例 89
4-4-1實例驗算 89
4-4-2結果分析 94
4-5考量設置時間之多樣產品週期循環生產實例 96
4-5-1考量設置時間後 之實例 97
4-5-2考量設置時間後 之實例 98
4-6敏感度分析討論 101
第五章 結論與未來研究方向 105
5-1結論 105
5-2未來研究方向 106
參考文獻 109
附 錄 一 111
附 錄 二 112

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