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研究生:張瀞云
研究生(外文):Ching-Yun Chang
論文名稱:探討多次定期等量運送對不良品部分可重工修復之生產系統的批量與運送次數之最佳決策
論文名稱(外文):Determining the optimal production - shipment policy for EPQ model with multiple deliveries and repair of reworkable defective items
指導教授:邱元錫邱元錫引用關係
指導教授(外文):Yuan-Shyi Chiu
學位類別:碩士
校院名稱:朝陽科技大學
系所名稱:工業工程與管理系碩士班
學門:工程學門
學類:工業工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:中文
論文頁數:94
中文關鍵詞:分期定量運送不完美品質生產系統不良品部份可重工修復報廢品EPQ最佳運送次數
外文關鍵詞:Multiple deliveries policyImperfect production systemRepair of reworkableScrap itemEPQ
相關次數:
  • 被引用被引用:15
  • 點閱點閱:244
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  • 下載下載:10
  • 收藏至我的研究室書目清單書目收藏:0
本研究使用數學模式推導出最佳生產批量及最佳運送次數,在不完美生產系統中包含不良品部分可重工修復,以及良品分期定量運送,並統整顧客端的良品持有成本,使期望年存貨成本最小化。假設生產過程不完美,且不良品在進行重工前會先挑出無法重工的部分先予以報廢,而剩下的不良品在重新加工修復後均可以完全修復。由於傳統經濟生產批量(EPQ)所假設的需求為連續運送與現實情況有所差異,故本研究為符合實際狀況,探討分期定量運送模式。

本研究針對以上假設建立三個數學模式:(1) 產品在重工完成後進行運送且包含顧客端存貨持有成本之最佳生產批量及運送次數之決策;(2) 在重工完成前運送且重工時間小於運送間隔時間並包含顧客端存貨成本之最佳生產批量及運送次數之決策;(3) 在重工完成前運送且重工時間大於等於運送間隔時間並包含顧客端存貨成本之最佳生產批量之決策。接著提出實例來做驗證,並對其參數做敏感度分析,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運送上可以作為參考之依據。
This paper determines the optimal lot size and delivery policy for Economic Production Quantity (EPQ) model with reworkable defective items. 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. In additions, it is assumed that 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. 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.
Three different models are investigated in this study, they are: (1) model of delivery shipments after rework with double variable (Q*,n*). (2) model of delivery shipments before rework and rework time greater than each delivery time with double variable (Q*,n*), and (3) model of delivery shipments before rework and rework time less than each delivery time with single variable (Q*). In the last, numerical examples are provided to demonstrate its practical usage.
中文摘要I
AbstractII
誌謝III
目錄IV
圖目錄VII
表目錄XI
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3
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9
2.2不良品重工修復之存貨系統相關文獻10
2.3多次運送相關文獻14
2.4 整合供應商和購買者相關之文獻16
第三章 定期等量運送與不完美重工之模式建構19
3.1 符號假設與說明19
3.2 問題描述23
3.3 多次定期等量運送模式建構與推導23
3.3.1產品在重工完成後進行運送之最佳生產批量及運送次數之決策24
3.3.2在重工完成前運送且重工時間小於運送間隔時間之最佳生產批量及運送次數之決策 29
3.3.3在重工完成前運送且重工時間大於等於運送間隔時間之最佳生產批量之決策34
3.3.4在重工完成前運送且重工時間大於等於運送間隔時間並包含顧客端存貨成本之最佳生產批量與運送次數之決策39
第四章 實例驗證與敏感度分析 40
4.1實例驗證一41
4.1.1重工後運送之製造商最生產批量佳與運送次數之模式42
4.1.2重工前運送且重工時間小於運送間隔時間之製造商生產批量與運送次數之模式47
4.2實例驗證二53
4.2.1重工後運送之製造商最生產批量佳與運送次數之模式54
4.2.2重工前運送且重工時間小於運送間隔時間之製造商生產批量與運送次數之模式59
4.3 實例驗證三65
4.3.1重工前運送且重工時間大於等於運送間隔時間之製造商生產批量與運送次數之模式 65
4.4 模式比較分析72
4.4.1重工前與重工後運送之比較72
4.4.2 單變數和雙變數比較76
4.4.3重工前運送之模式轉換79
4.4.4有無報廢品與報廢時間點不同之影響81
第五章 結論與未來研究方向85
5.1 未來研究方向87
參考文獻88
【附錄A】製造端在重工後開始分期運送之存貨成本公式推導A-1
【附錄B】顧客端分期運送之存貨成本公式推導B-1
【附錄C】重工後運送之(Q,n)模式公式推導C-1
【附錄D】製造端在重工前開始分期運送之存貨成本公式推導D-1
【附錄E】重工前運送且t2<tn之(Q,n)模式公式推導E-1
【附錄F】重工時間大於等於運送一次時間之假設推導F-1
【附錄G】重工前運送且t2≧tn之(Q)模式公式推導G-1
【附錄H】重工前運送且t2≧tn之(Q,n)模式公式推導H-1
圖目錄
圖1-1論文流程與架構圖7
圖3-1製造商分期運送在重工後良品之存貨圖24
圖3-2製造商分期運送於重工後不良品之存貨圖25
圖3-3製造商分期運送於重工後報廢品之存貨圖26
圖3-4製造商分期運送在重工前(t2<tn)良品之存貨圖29
圖3-5製造商分期運送於重工前(t2<tn)不良品之存貨圖31
圖3-6製造商分期運送於重工前(t2<tn)報廢品之存貨圖31
圖3-7製造商分期運送在重工前(t2≥tn)良品之存貨圖34
圖3-8製造商分期運送於重工前(t2≥tn)不良品之存貨圖36
圖3-9製造商分期運送於重工前(t2≥tn)報廢品之存貨圖37
圖4-1重工後運送之運送次數與多種成本關係圖43
圖4-2重工後運送之生產批量與多種成本關係圖43
圖4-3重工後運送之不良率與多種成本關係圖44
圖4-4重工後運送之不良率、報廢率對生產批量關係圖45
圖4-5重工後運送之不良率、報廢率對期望年存貨總成本關係圖45
圖4-6重工後運送之不良率、報廢率對最佳生產批量曲面圖46
圖4-7重工後運送之不良率、報廢率對期望年存貨總成本曲面圖46
圖4-8重工後運送之運送次數、生產批量對期望年存貨總成本曲面
圖4-7重工後運送之不良率、報廢率對期望年存貨總成本曲面圖46
圖4-9重工前運送(t2<tn)之運送次數與多種成本關係圖48
圖4-10重工前運送(t2<tn)之生產批量與多種成本關係圖49
圖4-11重工前運送(t2<tn)之不良率與多種成本關係圖49
圖4-12重工前運送(t2<tn)之不良率、報廢率對生產批量關係圖50
圖4-13重工前運送t2<tn)之不良率、報廢率對期望年存貨總成本關係圖50
圖4-14重工前運送(t2<tn)之不良率、報廢率對最佳生產批量曲面圖51
圖4-15重工前運送(t2<tn)之不良率、報廢率對期望年存貨總成本曲面圖51
圖4-16重工前運送(t2<tn)之運送次數、生產批量對期望年存貨總成本曲面圖52
圖4-17重工後運送之運送次數與多種成本關係圖55
圖4-18重工後運送之生產批量與多種成本關係圖55
圖4-19重工後運送之不良率與多種成本關係圖56
圖4-20重工後運送之不良率、報廢率對生產批量關係圖56
圖4-21重工後運送之不良率、報廢率對期望年存貨總成本關係圖57
圖4-22重工後運送之不良率、報廢率對最佳生產批量曲面圖57
圖4-23重工後運送之不良率、報廢率對期望年存貨總成本曲面圖58
圖4-24重工後運送之運送次數、生產批量對期望年存貨總成本曲面圖59
圖4-25重工前運送(t2<tn)之運送次數與多種成本關係圖60
圖4-26重工前運送(t2<tn)之生產批量與多種成本關係圖61
圖4-27重工前運送(t2<tn)之不良率與多種成本關係圖61
圖4-28重工前運送(t2<tn)之不良率、報廢率對生產批量關係圖62
圖4-29重工前運送(t2<tn)不良率、報廢率對最佳生產批量曲面圖62
圖4-30重工前運送(t2<tn)不良率、報廢率對最佳生產批量曲面圖63
圖4-31重工前運送(t2<tn)之不良率、報廢率對期望年存貨總成本曲面圖 63
圖4-32重工前運送(t2<tn)之製造商不良率與多種成本關係圖64
圖4-33重工前運送(t2≥tn)之生產批量與多種成本關係圖67
圖4-34重工前運送(t2≥tn)之運送次數與多種成本關係圖67
圖4-35重工前運送(t2≥tn)之不良率與多種成本關係圖68
圖4-36重工前運送(t2≥tn)之不良率、報廢率對生產批量關係圖68
圖4-37重工前運送(t2≥tn)之不良率、報廢率對期望年存貨總成本關係圖69
圖4-38重工前運送(t2≥tn)之不良率、報廢率對最佳生產批量曲面圖69
圖4-39重工前運送(t2≥tn)之不良率、報廢率對期望年存貨總成本曲面圖70
圖4-40重工前運送(t2≥tn)之運送次數、固定運輸成本對最佳生產批量曲面圖70
圖4-41重工前運送(t2≥tn)之運送次數、固定運輸成本對期望年存貨總成本曲面圖71
圖4-40重工前(t2<tn)運送與重工後運送之運送次數與多種成本關係圖72
圖4-41重工前(t2<tn)運送與重工後運送之生產批量對多種成本關係圖73
圖4-42重工前(t2<tn)運送與重工後運送之不良率對多種成本關係圖73
圖4-43重工前(t2<tn)運送與重工後運送之不良率對最佳生產批量關係圖74
圖4-44重工前(t2<tn)運送與重工後運送之不良率對期望年存貨總成本關係圖74
圖4-45重工前(t2<tn)運送與重工後運送之不良率、報廢率對最佳生產批量曲面圖75
圖4-46重工前(t2<tn)運送與重工後運送之不良率、報廢率對期望年存貨總成本曲面圖75
圖4-47重工前(t2<tn)運送與重工後運送之不良率與多種成本關係圖76
圖4-48重工後運送之運送次數對期望年總存貨成本關係圖77
圖4-49重工前(t2<tn)運送之運送次數對期望年總存貨成本關係圖78
圖4-50重工前運送之模式轉換流程圖79
表目錄
表1-1 模式差異表4
表2-1 本研究主要文獻探討比較表18
表3-1 參數符號表19
表4-1實例(一)基本數據假設表41
表4-2實例(二)基本數據假設表53
表4-3實例(三)基本數據假設表65
表4-4單變數和雙變數對期望年總存貨成本比較表77
表4-5單變數和雙變數對期望年總存貨成本比較表78
表4-6重工率之變化對模式間之轉換表80
表4-7運送次數之變化對模式間之轉換表表81
表4-8有無報廢品與報廢時間點之比較表82
表4-9模式一與模式二之基本數據假設表82
表4-10 報廢時間點不同(模式一與模式二)與有無報廢品之數據比較表83
表4-11 模式三之基本數據假設表83
表4-12 報廢時間點不同(模式三)與有無報廢品之數據比較表84
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1. 不完美品質生產系統之最佳經濟生產批量之探討
2. 探討經濟生產批量模式含不良品重工之最佳決策
3. 研究定量多次配送與含不良品重工失敗率因素之最佳生產批量決策
4. 在不完美重工生產系統下探討定量多次配送對生產批量與配送次數之最佳決策
5. 含不良品部分可重工修復與良品分期配送之經濟生產批量最佳化
6. 探討非連續配送與不良品可完全重工修復對經濟生產批量決策之影響
7. 求解多樣產品含部分報廢之生產系統的共同週期與配送問題與含設備當機及完全報廢之最佳生產時間
8. 在不良品可完全重工修復與非連續性配送之生產系統下探討最佳批量與配送次數決策
9. 整合單一供應商與多個買家在不良品完美重工之生產系統下(n+1)次配送與整合多樣產品生產可重工修復並多次配送的最佳生產與配送策略
10. 探討整合多樣產品生產且含不完美重工之生產週期和最佳配送策略與含機器當機且不完美重工後多次配送之最佳生產時間
11. 探討(n+1)次配送及多次配送給多個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
12. 探討含隨機報廢並(n+1)次配送之多樣產品生產之共同 週期和最佳配送策略與含機器當機、報廢品並多次配送之整合買賣方供應鏈系統之最佳生產時間
13. 探討生產系統中含機器設備隨機當機且不良品完全報廢的(n+1)次配送策略之最佳生產時間
14. 具不完美品質、缺貨後補之生產批量問題之研究
15. 探討經濟生產批量模式含不良品重工在定期維修保養下之最佳生產時間
 
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