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研究生: 林思安
Lin, Si-An
論文名稱: 車輛排程問題影響因子敏感性探討
Sensitivity Analysis of Vehicle Routing Problem Characteristics
指導教授: 李宇欣
Lee, Yu-sin
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 98
中文關鍵詞: 可用車輛數時間窗位置與地理位置分佈之相關性敏感性探討客戶點地理位置分佈影響因子車輛排程問題車輛容量時間窗寬度客戶需求量
外文關鍵詞: vehicle capacity, sensitivity analysis, customer location, customer position-time window location correlati, affect factors, vehicle routing problem with time windows, customer demand, fleet size, width/location of time windows
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  • 車輛排程問題(Vehicle Routing Problem,VRP)為許多重要系統營運的核心問題。應用於運輸系統時,此一最佳化模式容納了許多重要的考慮因素,包括時間窗的限制、可用車輛數、所服務客戶的地理位置等。眾多的考慮因素豐富了車輛排程問題的內涵,同時也增加了此一問題在學理及應用上的複雜性。
    本論文探討時間窗車輛排程問題(Vehicle Routing Problem with Time Windows, VRPTW)的影響因子。研究中測試可用車輛數、車輛容量、客戶點地理位置分佈、客戶需求量、時間窗寬度、時間窗位置與地理位置分佈之相關性等六項因素之864種不同組合。求解時使用軟式時間窗限制,以先分群再排路線的求解策略產生起始可行解,再以交換客戶點的方式反覆搜尋較佳的可行解。
    測試時每種參數組合分別以不同的亂數種子求解10次,以比較各種影響因子對使用的車輛數、車隊行駛總距離、車隊總服務時間、遲到的客戶點數、及早到的客戶點數的影響。測試結果顯示時間窗位置與地理位置分佈之相關性對VRPTW求解結果之影響力最為顯著。

    The vehicle routing problem(VRP)sits at the core of many important system operation problems. When applied to transportation systems, this optimization model naturally incorporates a number of important factors, including time window constraints, fleet size limit, and geographical distribution of customers. These factors enriched the content of VRP, and complicated the problem in both application and theoretical aspects.
    This research concerns affecting factors of the VRP with time windows, or VRPTW. We tested a total of 864 different combinations of fleet size, vehicle capacity, customer location, customer demand, width/location of time windows, and customer position-time window location correlation. The solution algorithm uses soft time window constraints. After generating the initial solution, the algorithm improves through the iterations by exchanging customers between vehicle tours.
    Each of the combinations are solved 10 times under different random number seeds to derive the affects of the factors on the number of vehicles used, total driving distance, total service time, number of late services, and number of early services. The results suggest that the correlation between customer position and their time window locations has the strongest influence.

    摘要 I Abstract II 誌 謝 III 目 錄 IV 表目錄 V 圖目錄 VI 第一章 緒論 1 1.1 研究動機 1 1.2 研究目的 2 1.3 研究內容與方法 2 1.4 研究流程 3 1.5 論文架構 4 第二章 文獻回顧 5 2.1 車輛排程問題分類 5 2.2 影響車輛排程的特徵因素 9 2.3 車輛排程問題求解策略之分類 12 第三章 求解測試 15 3.1 基本假設 15 3.2 參數設計 18 3.2.1 客戶地理位置分佈 18 3.2.2 客戶需求量分佈 24 3.2.3 車輛數 26 3.2.4 車輛容量 27 3.2.5 時間窗寬度分佈 27 3.2.6 時間窗位置分佈 28 3.3 求解方法 30 第四章 測試結果 33 4.1 單項因素之比較 33 4.2 兩項因素之比較 55 4.3 三項因素之比較 85 第五章 結論與後續研究 90 5.1 結論 90 5.2 後續研究 93 參考文獻 94 簡 歷 98

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