逆供應鏈網路雙層規劃模型

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姓名

陳敬文(Jing-Wen Chen) 查詢紙本館藏

畢業系所

土木工程學系

論文名稱

逆供應鏈網路雙層規劃模型
(A Bilevel Model of Reverse Supply Chain Networks)

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摘要(中)

本研究根據Nagurney et al.(2005)所提出之逆供應鏈網路均衡，將逆供應鏈網路問題建構為雙層規劃模型。上層為系統最佳化問題，在預算的限制下，以逆供應鏈網路總成本最小為目標；下層為符合Wardrop第二原則的逆供應鏈網路流量均衡問題。最後針對各層流量轉換因子提出一修正式敏感度分析之演算法進行求解。並利用測試範例證實逆供應鏈網路雙層規劃模型之正確性。

摘要(英)

This research formulates the reverse supply chain network design problem as a bilevel model. In the upper level, the reverse supply chain network total cost is minimized subject to the budget constraint whereas in the lower level the reverse supply chain network flows are equilibrated in accordance with the Wardrop second principle. A “modified” sensitivity analysis based algorithm, with special treatment on conversion factors from one sector to the next, is proposed for solutions and demonstrated with a numerical example.

關鍵字(中)

★ 逆供應鏈
★ 雙層模型

關鍵字(英)

★ Reverse Supply Chain
★ Bilevel model

論文目次

摘要 i
Abstract ii
誌謝 iii
目錄 v
圖目錄 viii
表目錄 ix
第一章、緒論 1
1.1 研究動機 1
1.2 研究目的 1
1.3 研究範圍與假設 1
1.4 研究方法 4
1.5 研究流程 6
第二章、文獻回顧 7
2.1 逆供應鏈網路均衡模型 7
2.2 網路設計問題 8
2.2.1 最佳化問題 8
2.2.2 雙層規劃模型 8
2.3 變分不等式敏感度分析 9
2.4 小結 11
第三章、逆供應鏈網路均衡模型 12
3.1 模型構建 13
3.1.1 均衡條件 14
3.2 求解演算法 19
3.2.1 對角化過程 19
3.2.2 超級路網表達方式 21
3.2.3 巢式對角化法流程 23
3.3 測試範例 27
3.3.1 輸入資料 27
3.3.2 測試結果 28
3.3.3 結果分析 29
3.4 小結 30
第四章、變分不等式敏感度分析 31
4.1 變分不等式敏感度分析原理 31
4.2 廣義反矩陣 34
4.2.1 減號反矩陣 35
4.2.2 自反矩陣反矩陣 36
4.2.3 最小範數廣義反矩陣 36
4.2.4 最小二乘廣義反矩陣 37
4.2.5 加號廣義反矩陣 38
4.3 以廣義反矩陣進行敏感度分析 41
4.4 修正式敏感度分析 45
4.4.1 運輸網路均衡 45
4.4.2 以行或路徑為基礎的縮減方法應用於敏感度分析 47
4.5 測試範例 51
4.5.1 輸入資料 51
4.5.2 微擾參數ε=0之均衡結果 53
4.5.3 利用廣義反矩陣計算敏感度分析資訊 54
4.5.4 由敏感度分析資訊推估路段流入率 62
4.6 小結 64
第五章、逆供應鏈網路均衡雙層規劃模型 64
5.1 模型構建 65
5.2 模型求解 68
5.3 求解演算法 68
5.4 範例測試 72
5.4.1 輸入路網資料 72
5.4.2 測試結果 75
第六章、結論與建議 78
6.1 結論 78
6.2 建議 79
參考文獻 80

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指導教授

陳惠國(Huey-Kuo Chen)

審核日期

2006-7-22

推文