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系統識別號 U0026-0707201411470400
論文名稱(中文) 二階供應鏈經濟生產與配送批量整合模式 -考慮生產訂購存貨與配運成本
論文名稱(英文) Joint production and shipment lot sizing for a two echelon supply chain with transportation cost
校院名稱 成功大學
系所名稱(中) 工業與資訊管理學系
系所名稱(英) Department of Industrial and Information Management
學年度 102
學期 2
出版年 103
研究生(中文) 傅彥蓁
研究生(英文) Yen-Chen Fu
學號 r38971010
學位類別 博士
語文別 中文
論文頁數 67頁
口試委員 指導教授-李賢得
口試委員-利德江
口試委員-王清正
口試委員-陳明德
口試委員-葉丁鴻
中文關鍵字 經濟生產批量  配送批量  運輸成本  二階供應鏈 
英文關鍵字 economic production quantity  delivery quantity  transportation cost  two echelon supply chain 
學科別分類
中文摘要 本論文針對二階供應鏈中,上游採用訂貨式生產並週期配送至下游之整合決策問題,決定上游生產端之最佳生產批量與對下游需求端之最佳配送批量,以最小化單位時間相關總成本,包含生產端之機器整備成本、上下游存貨持有成本、需求端之訂購處理成本與週期性配送之配運成本,在後者,根據運輸商之配送成本資料,針對最常用之正比例型與遞減率型配運成本,將實際配運成本配適為配送批量之自然對數與次方根函數兩種型式。
在自然對數配運成本函數(遞減率型)下之總成本模式,考慮生產端單批生產與多批次配送政策,基本型總成本模式中包含機器整備成本、上游存貨持有成本與配運成本,整合型總成本模式包含基本型總成本、訂購處理成本與下游存貨持有成本。在一個生產週期內之配送次數已知的條件下,可證明單位時間總成本函數為生產批量之凸函數,本論文並發展一個以牛頓搜尋法為基礎之搜尋法,以快速搜尋最佳解,並進行演算實驗,求得最佳生產與配送批量。相較於古典文獻之批量對批量生產配送或單批生產多批次配送政策,基本型或整合型模式之最佳生產與配送政策整體表現較優,其單位時間總成本較古典模式為低。
在次方根配運成本函數(正比例型與遞減率型)下之總成本模式,利用機器整備成本、上下游存貨持有成本、訂購處理成本與配運成本等四項,建構基本型與整合型總成本模式。在一個生產週期內之配送次數或配送批量已知的條件下,可證明單位時間總成本函數為配送批量或配送次數之凸函數,本論文並發展二維求解演算法,以搜尋最佳生產與配送批量。相較於古典文獻之批量對批量生產配送政策或簡化型模式,其中,簡化型模式為整合型模式未包含配運成本,由演算實驗結果發現,基本型或整合型模式之最佳生產與配送政策整體表現較優,其單位時間總成本較古典模式或簡化型模式為低。
英文摘要 An integrated production/delivery quantity problem in a make-to-order producer-buyer supply chain is analyzed in this thesis. The coordination policy is achieved by scheduling single setup at the producer with multi-delivery to the buyer. A per unit time cost model is developed and analyzed to determine the optimal production and delivery quantities. The cost model include setup cost at the producer, ordering cost at the buyer, inventory carrying cost at both echelon, and delivery cost, where the delivery cost is a function of the delivery quantities. Based on empirical transportation rate data it suggests that the delivery cost is in the general form of tapering or proportional function.
We analyze two cost models, where the delivery cost which costs belong to a class of proportional or tapering rates. The models include setup cost, ordering cost, inventory carrying cost, and delivery cost function of delivery quantity. Under some mild conditions, it can be shown that the joint cost function is convex with respect to the production quantity.
For the general transportation cost function (tapering and proportional) a fitted power function of delivery quantity is investigated. The cost model has been shown to be convex with respect to delivery quantity when the number of delivery is given; and it is also convex with respect to the number of delivery when the delivery quantity is given. A novel 2-D solution procedure is developed to quickly find the optimal decision policy. The mathematical analysis and computational study have demonstrated that significant cost savings can be realized by implementing the proposed approach into the network optimization process.
論文目次 摘 要 I
Extended Abstract II
誌 謝 VI
表目錄 IX
圖目錄 X
第一章 緒論 1
1.1研究動機 1
1.2研究目的 2
1.3研究範圍與假設 2
1.4研究架構 3
第二章 文獻回顧 5
2.1 生產系統 5
2.2 生產批量政策 7
2.3 配運成本結構 8
2.4 配送政策 12
2.5 結合生產與配送批量政策 14
第三章 二階生產與配送總成本模式建構 19
3.1 問題描述與參數定義 19
3.2 生產端與需求端之成本分析 22
3.3 配運成本之模式化 24
3.4 自然對數配運成本函數下之總成本模式 26
3.4.1 基本型總成本模式(I) 26
3.4.2 整合型總成本模式(I) 28
3.5 次方根配運成本函數下之總成本模式 29
3.5.1 基本型總成本模式(II) 30
3.5.2 整合型總成本模式(II) 32
3.6 未考慮配運成本函數下之簡化型總成本模式 34
第四章 演算實驗與分析 38
4.1 自然對數配運成本下總成本模式之演算實驗 38
4.1.1 演算法發展(I) 38
4.1.2 範例說明(I) 40
4.1.3 演算實驗與分析(I) 44
4.2 次方根配運成本下總成本模式之演算實驗 47
4.2.1 演算法發展(II) 47
4.2.2 範例說明(II) 49
4.2.3 演算實驗與分析(II) 53
4.3 小結 55
第五章 研究成果與後續研究議題 57
5.1 研究成果 57
5.2 後續研究議題 58
參考文獻 59
附錄 A:簡化型與Goyal模式之演算實驗 63
附錄 B.1:圖4.5配適迴歸模式程式碼(R version 2.15.0) 64
附錄 B.2:表4.7之二維演算法程式碼(R version 2.15.0) 65
附錄 B.3:圖4.7程式碼(MATLAB 8.1.0) 67
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