本研究在不完美生產系統中，探討（n＋1）次配送與多次配送至多顧客對不良品部分可重工修復之生產系統的生產批量與配送次數之最佳決策。假設生產過程不完美，不良品進行重工前會先篩選無法重工的部分先予以報廢，剩餘之不良品均可以完全修復。
由於傳統經濟生產批量(EPQ)所假設的需求為連續配送與現實情況較為不符合，故本研究為符合實際狀況，探討分期n次配送模式。本研究針對這些假設建立數學模式，期望求得最佳生產批量與最佳配送次數，使期望年存貨總成本最小化。
本研究針對以上之假設建立兩個數學模式：(1) 產品正常生產時間內，當生產足夠供給正常生產時間 與重工時間時所需的量，先行一次配送，重工結束後，再採取分期n次配送且含顧客端存貨持有成本之最佳生產批量及配送次數之決策；(2) 在重工完成後進行分期n次配送至多顧客且包含顧客端存貨持有成本之最佳生產批量及配送次數之決策。最後提出實例來做驗證，並對其參數進行敏感度分析，期望本研究之模式能夠因應實際情況，提供業界處理不良品重工與分期配送上可以作為參考之依據。

This paper determines the optimal lot size and shipments for EPQ models with (n＋1) deliveries policy and single-vendor multi-buyer in a supply chain environment with partial reworkable defective items, respectirely.
The production process system is imperfect, random defective items are produced due to various inevitable reasons. Not all of defective items are reworkable, a portion of defective items are scrap and are to be discarded before the rework process. Traditional EPQ model assumes a continuous delivery policy, but it is not practical. Therefore, this paper studies a multiple delivery policy to conform to the real-life situation. The purpose of this study is to determine the optimal lot size and delivery policy for such a realistic system in order to minimize its overall costs.
Two different models are investigated in this study, they are: (1) (n＋1) deliveries policy . (2) single-vendor multi-buyer in a supply chain environment with partial reworkable defective items. In the last, numerical examples are provided to demonstrate its practical usage.

目錄
中文摘要 I
Abstract II
誌謝 III
目錄 IV
表目錄 VI
圖目錄 VII
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 研究步驟與架構 4
第二章 文獻探討 6
2.1不良品重工修復之存貨系統相關文獻 7
2.2多次運送相關文獻 9
2.3 配送至多顧客相關之文獻 11
第三章 分別探討(n＋1)次配送策略與多次配送至多顧客策略對不良
品部分可重工修復之生產批量與配送次數之最佳化 14
3.1 模式一建構 14
3.1.1問題描述 14
3.1.2符號說明與假設 15
3.1.3模式一推導 17
3.2模式二建構 22
3.2.1問題描述 22
3.2.2符號說明與假設 23
3.2.3模式二推導 25
第四章 實例驗證與敏感度分析 30
4.1模式一實例驗證 30
4.2模式二實例驗證 37
4.3 模式比較分析 44
4.3.1模式一與n次配送模式之配送策略比較 45
4.3.2模式二與n次配送模式之配送策略比較 49
第五章 結論與未來研究方向 51
5.1 未來研究方向 53
參考文獻 54

表目錄
表1-1 本研究基本假設表 3
表2-1 本研究主要文獻探討比較表 13
表3-1 模式一參數符號表 15
表3-2 模式二參數符號表 23
表4-1 模式ㄧ實例基本數據假設表 31
表4-2 模式二實例基本數據假設表 38
表4-3.1 模式一vs. n配送模式相關成本之比較 48
表4-3.2 模式一vs. n配送模式相關成本之比較 48
表5-1 模式二製造商配送決策表 52

圖目錄
圖1-1 論文流程與架構圖 5
圖3-1 模式一製造商分期配送在良品之存貨圖 18
圖3-2 模式一製造商分期配送不良品之存貨圖 20
圖3-3 模式一製造商分期配送報廢品之存貨圖 21
圖3-4 模式二之配送策略供應鏈圖 23
圖3-5 模式二配送至多顧客之製造商良品存貨圖 26
圖3-6 模式二製造商分期配送之多顧客不良品之存貨圖 27
圖3-7 模式二製造商分期配送報廢品之存貨圖 28
圖4-1 模式一配送次數與多種成本之關係圖 33
圖4-2 模式一生產批量與多種成本之關係圖 33
圖4-3 模式一不良率與多種成本之關係圖 34
圖4-4 模式一不良率與最佳生產批量之關係圖 34
圖4-5 模式一不良率、報廢率對最佳期望年總成本之關係圖 35
圖4-6 模式一不良率、報廢率對最佳生產批量之曲面圖 35
圖4-7 模式一不良率、報廢率對最佳期望年總成本之曲面圖 36
圖4-8 模式一配送次數、生產批量對期望年總成本之曲面圖 37
圖4-9 模式二配送次數與多種成本之關係圖 40
圖4-10 模式二生產批量與多種成本之關係圖 40
圖4-11 模式二不良率與多種成本之關係圖 41
圖4-12 模式二不良率與最佳生產批量之關係圖 41
圖4-13 模式二不良率、報廢率對最佳期望年總成本之關係圖 42
圖4-14 模式二不良率、報廢率對最佳生產批量之曲面圖 43
圖4-15 模式二不良率、報廢率對最佳期望年總成本之曲面圖 43
圖4-16 模式二配送次數、生產批量對期望年總成本之曲面圖 44
圖4-17 模式一配送策略與n次配送策略之總持有成本比較 45
圖4-18 模式一配送策略與n次配送策略之總運送成本比較 46
圖4-19 模式一與n次配送策略之不含製造、重工和報廢成本比較 46
圖4-22 模式二顧客數與期望年總成本之關係 49
圖4-23 模式二顧客數與配送次數之關係 50
圖5-1 模式一不同配送策略之不含生產成本比較圖 52

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