臺灣博碩士論文加值系統

本研究探討整合(n+1)次配送策略生產單一產品之機器含隨機當機且不良品完全報廢後多次配送之最佳生產時間。假設在不完美的生產過程中機器含隨機當機情況下會有不良品的產生，且所有不良品皆完全報廢。傳統EPQ模型假設連續配送與實際情況之間有所差異，為了更加符合現實製造業生產之情況，將連續配送假設為多次配送模式，之後針對此問題建立數學模式。
本研究針對上述假設建立了數學模式：探討生產時間內機器含隨機性當機的發生情況，以AR(abort/resume)模式作為設備當機的處理方式，即設備當機維修，修復後繼續完成先前未生產完之批量，在生產過程結束將不良品完全報廢後，進行(n+1)次配送，並對此研究包含隨機性當機的情況下探討一最佳生產時間。最後對此數學模式提出數值實例來加以驗證，並對相關參數值做敏感度分析，期望本研究之數學模式在現實情況能提供業界實務上決策之參考依據。

This study considers the integration of (n +1) delivery policy in production of a single product with the random machine breakdown, and imperfect production completely scrapped. Imperfect production process is assumed, there will be defective products and are completely scrapped, and the machines in the production process is subject to breakdown randomly. EPQ model assumes continuous delivery deviates from the actual situation is different. This study is more in line with reality manufacturing continuous distribution by assuming multiple deliveries.
This study develops a mathematical model for a production system with stochastic machines breakdown, under AR (abort / resume) policy, when the machine breakdowns, it is under repair immediately, after repair it continues to complete the production of unfinished lot. The optimal production time is derived in this study. Finally, numerical example with sensitivity analyses are given to demonstrate practical usages of our obtained results.

目錄
中文摘要 I
Abstract II
誌謝 III
目錄 IV
圖目錄 VII
表目錄 X
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 3
1.4 研究流程與架構 4
第二章 文獻探討 6
2.1當機之相關文獻 7
2.2 多次配送之相關文獻 9
2.3不良品之相關文獻 12
第三章 模式的建立與推導 16
3.1 情況一建構 16
3.1.1 問題描述 16
3.1.2 符號說明 17
3.1.3 模型建立 20
3.1.4 模式一假設與推導 22
3.1.5模式二假設與推導 25
3.2 情況二建構 28
3.2.1 問題描述 28
3.2.2 模式三假設與推導 28
3.3 整合情況一與情況二 31
3.3.1 求取最佳生產時間 34
第四章 實例驗證與敏感度分析 36
4.1 本研究實例驗證與敏感度分析 36
4.1.1 判斷本研究是否存在極小值 38
4.1.2找尋最佳生產時間 38
4.2數值驗證與敏感度分析 39
4.2.2生產時間與期望總成本之關係 39
4.2.2平均當機間隔時間、不良率變動與期望總成本之關係 40
4.2.3不良率變動與生產時間、期望總成本之關係 41
4.3本研究與過去研究之期望總成本關係 44
4.3.1本研究與過去研究之成本比較關係(比較一) 44
4.3.2本研究與過去研究之成本比較關係(比較二) 47
4.3.3本研究與過去研究之成本比較關係(比較三) 50
4.3.4本研究與過去研究之成本比較關係(比較四) 53
4.3.5本研究與過去研究成本整合比較 56
第五章 結論與未來研究方向 57
5.1 本研究之分析結論 57
5.2 本研究之貢獻 63
5.3 未來研究方向 63
參考文獻 64
【附錄A】多次配送之存貨成本公式推導 A-1
【附錄B】模式一生產過程發生當機之公式推導過程 B-1
【附錄C】模式二生產過程發生當機之公式推導過程 C-1
【附錄D】模式三生產過程未發生當機之公式推導 D-1
【附錄E】情況一與情況二整合公式演算推導 E-1
圖目錄
圖1-1 研究流程與架構圖 5
圖3-1 當機模式之研究流程圖 21
圖3-2 模式一生產過程含當機之良品存貨圖 22
圖3-3 模式一生產過程含當機與過去研究之持有成本差異圖 23
圖3-4 模式一生產過程含當機之報廢品存貨圖 24
圖3-5 模式二生產過程含當機之良品存貨圖 25
圖3-6 模式二生產過程含當機與過去研究之持有成本差異圖 26
圖3-7 模式二生產過程含當機之報廢品存貨圖 27
圖3-8生產過程中未發生當機之良品存貨圖 29
圖3-9 生產過程中未發生當機與過去研究之持有成本差異圖 30
圖3-10 生產過程中未發生當機之報廢品存貨圖 30
圖4-1最佳生產時間與期望總成本之關係圖 39
圖4-2 平均當機間隔時間、不良率變動與期望週期總成本之關係圖 40
圖4-3不良率變動與期望總成本之關係圖 41
圖4-4不良率變動與生產時間之關係圖 41
圖4-5不良率變動對期望總成本之關係圖 42
圖4-6平均當機間隔時間、不良率變動與期望總成本之曲面圖 43
圖4-7 本研究與過去研究之期望總成本比較圖(當t1=0.6114時) 45
圖4-8本研究與過去研究之各別成本比較圖(當t1=0.6114時) 45
圖4-9 本研究與過去研究之期望總成本差異圖(當t1=0.6114時) 46
圖4-10 本研究與過去研究之生產持有成本差異圖(當t1=0.6114時) 46
圖4-11 本研究與過去研究之期望總成本比較圖(當t1=0.6114時) 47
圖4-12 本研究與過去研究之各別成本比較圖(當t1=0.6114時) 48
圖4-13 本研究與過去研究之期望總成本差異圖(當t1=0.6114時) 49
圖4-14 本研究與過去研究之生產持有成本差異圖(當t1=0.6114時) 49
圖4-15 本研究與過去研究之期望各別成本比較圖(當t1* 分別為最佳解時) 50
圖4-16 本研究與過去研究之期望各別成本比較圖(當t1* 分別為最佳解時) 51
圖4-17 本研究與過去研究之期望總成本差異圖(當t1* 分別為最佳解時) 52
圖4-18 本研究與過去研究之生產持有成本差異圖(當t1* 分別為最佳解時) 52
圖4-19 本研究與過去研究之期望各別成本比較圖(當t1* 分別為最佳解時) 53
圖4-20 本研究與過去研究之期望各別成本比較圖(當t1* 分別為最佳解時) 54
圖4-21 本研究與過去研究之期望總成本差異圖(當t1* 分別為最佳解時) 55
圖4-22 本研究與過去研究之生產持有成本差異圖(當t1* 分別為最佳解時) 55
圖4-23 本研究與過去研究之各期望總成本差異圖 56
圖5-1 本研究與無當機平均當機間隔時間對期望總成本之關係圖 58
圖5-2期望總成本比較圖(維修成本與當機次數增加) 59
圖5-3 本研究與無當機之最佳生產時間比較圖 60
圖5-4 本研究與無當機當機之期望總成本差異圖 61
圖5-5本研究(n+1次配送)與過去研究(n次配送)之期望總成本比較圖 62

 
表目錄
表1-1 基本假設表 2
表2-1本研究與過去研究文獻探討比較表 15
表3-1 本研究參數符號表 17
表3-2 模式分類表 20
表4-1 本研究之敏感度分析事項表 36
表4-2 本研究基本假設數據表 37
表4-3 本研究與過去學者研究之差異比較 44

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