臺灣博碩士論文加值系統

本研究主要探討整合多次定量配送多樣產品在含部分報廢部分可重工修復之生產系統的最佳生產週期和配送策略與研究含設備當機(AR型)及不良品完全報廢並多次定量配送的最佳生產時間。假設生產過程不完美情況下，先將無法重工修復的不良品進行報廢，將剩下可重工修復的不良品重工修復。隨著機器設備運作時間越長，機器設備產生不穩定，不可避免的發生當機。傳統EPQ模型的連續配送與現實情況有所差異，為符合實際情況將連續配送假設為多次定量配送模式。
本研究針對上述假設建立了兩種數學模式：(1)部分不良品進行報廢後重工修復之多樣產品多次配送且包含顧客端持有存貨之最佳生產週期及配送次數策略；(2) AR(abort/resume)作為設備維修處理方式，探討在隨機性當機情況下，將不良品完全報廢後並多次配送之最佳生產時間。最後提出數值實例加以驗證，並對參數值做敏感度分析，期望本研究的數學模式能作為實務應用上決策參考之依據。

This thesis studie the optimal production-delivery decisions for an integrated system with multi-item and partial scrap items, and on the optimal run time for a system with machine breakdowns (AR-policy) and scrap.Two mathematical models are developed respectively: (1) model 1 considers multi-item that deliver to single buyer under common cycle policy in a supply chain environment, which has two decision variables (T*, n*); (2) model 2 examines random machine breakdown situation (under AR-policy) with scrap and multi-deliveries, which has single decision variable (t1*). Numerical examples with sensitivity analyses are provided to verify the research results.

目錄
中文摘要 I
Abstract II
誌謝 III
目錄 IV
表目錄 VIII
圖目錄 IX
第一章 緒論 1
1.1 研究動機與目的 1
1.2 研究範圍界定與假設 2
1.3 研究方法 5
1.4 研究步驟與架構 5
第二章 文獻探討 8
2.1不良品存貨系統之相關文獻探討 10
2.2不良品重工修復與報廢之相關文獻探討 11
2.3多次配送之相關文獻探討 13
2.4多樣產品之相關文獻探討 15
2.5 設備不可靠生產系統之相關文獻探討 16
第三章 模式建構與推導 20
3.1 模式一建構 20
3.1.1問題描述 20
3.1.2符號說明與假設 20
3.1.3模式一推導 23
3.2模式二建構 35
3.2.1問題描述(含當機) 35
3.2.2符號說明與假設 35
3.2.3模式二公式推導(含當機) 39
3.2.4模式描述 43
3.2.5模式二公式推導 43
3.3 整合含當機與未當機並假設發生當機之機率為隨機性機率分配 47
3.3.1 機器發生當機之機率為指數分配 48
3.3.2 證明此成本函數存在極小值 49
3.3.3 求最佳生產時間 50
第四章 數值驗證與敏感度分析 52
4.1 模式一之數值例子 52
4.1.1 數值驗證與敏感度分析 54
4.1.2 生產週期與配送次數對期望成本的關係 55
4.1.3 不良率變動對期望成本的關係 60
4.1.4 多樣產品之設備使用率 64
4.2 模式二之數值例子 65
4.2.1 檢驗此成本函數是否存在極小值 66
4.2.2 求出估計值找尋最佳生產時間 66
4.2.3 平均當機間隔時間變動與期望成本之關係 69
4.2.4 不良率變動對生產時間與期望成本之關係 70
4.2.5 由不良率與當機間隔時間的變動對期望成本之關係 72
第五章 結論與未來方向 73
5.1 兩模式分析與結論 74
5.1.1 模式一分析 74
5.1.2 模式二分析 76
5.2 本研究對產業之貢獻 82
5.2.1 模式一之貢獻 82
5.2.2 模式二之貢獻 82
5.3 未來研究方向 83
參考文獻 84
附錄A A-1
附錄B B-1
附錄C C-1
附錄D D-1
附錄E E-1
附錄F F-1
附錄G G-1

表目錄
表1-1 基本假設表 4
表2-1 文獻比較表 19
表3-1 模式一參數符號表 21
表3-2 模式二參數符號表 33
表4-1 模式一數值假設表 48
表4-2 模式二數值假設表 60
表4-3 模式二是否存在極小值 61
表5-1 模式一設備使用率 69
表5-2 模式二數值假設表 73

圖目錄
圖1-1 研究流程與架構圖 7
圖3-1 模式一製造端多次配送良品之存貨圖 24
圖3-2 模式一製造端不良品存貨圖 26
圖3-3 模式一製造端報廢品存貨圖 27
圖3-4 模式一顧客端多樣產品之良品存貨圖 29
圖3-5 設備發生當機及修復時之良品存貨圖 37
圖3-6 設備發生當機及修復時之報廢品存貨圖 38
圖3-7 設備正常運作時之良品存貨圖Chiu[9] 41
圖3-8 設備正常運作時之報廢品存貨圖Chiu[9] 42
圖4-1 推導步驟 50
圖4-2 生產週期與配送次數之關係圖 51
圖4-3 生產週期與多種成本之關係圖 52
圖4-4 配送次數與多種成本之關係圖 53
圖4-5 期望年總存貨成本與多種成本之關係圖 54
圖4-6 平均不良率與多種成本之關係圖 55
圖4-7 平均不良率與個別期望年總成本之關係圖 56
圖4-8 平均不良率與期望年總成本之關係圖 56
圖4-9 本研究與江國偉期望總成本比較圖 57
圖4-10 本研究與江國偉各別成本比較圖 58
圖4-11 最佳生產時間收斂圖 63
圖4-12 平均當機間隔時間與不良率變動之成本關係圖 64
圖4-13 不良率變動對期望成本之關係圖 65
圖4-14 不良率變動與生產時間之關係圖 65
圖4-15 不良率變動對期望總存貨成本之關係圖 66
圖5-1 品質成本比例圖 68
圖5-2 多樣產品在共同週期下生產之存貨模型圖 69
圖5-3 當機間隔時間與期望成本之關係圖 70
圖5-4 本研究與未發生當機之期望總成本差異圖 71
圖5-5 本研究與未發生當機之成本比較圖 71
圖5-6 本研究與連續配送之比較圖 72
圖5-7 無當機之最佳生產時間 74

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