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研究生:陳宏昇
研究生(外文):Hong-Sheng Chen
論文名稱:以模擬退火演算法求解時間視窗限制車輛途程問題
論文名稱(外文):Vehicle Routing Problems with Time Windows Using Simulated Annealing
指導教授:林 詩 偉
指導教授(外文):Shih-Wei Lin
學位類別:碩士
校院名稱:華梵大學
系所名稱:資訊管理學系碩士班
學門:電算機學門
學類:電算機一般學類
論文種類:學術論文
論文出版年:2006
畢業學年度:94
語文別:中文
論文頁數:57
中文關鍵詞:模擬退火法區域搜尋法循序插入法插入法交換法時間視窗限制車輛途程問題
外文關鍵詞:Simulated annealingLocal searchSequential insertion heuristicInsertionExchangeVRPTW
相關次數:
  • 被引用被引用:13
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  • 下載下載:124
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近年來隨著顧客生活水準的提升,顧客對貨品準時送達的要求越來越講究,因此延伸出考慮顧客服務時窗巡迴路線問題,即為時窗限制下車輛巡迴路線問題(Vehicle routing problem with time windows, VRPTW)。然而物流配送如何降低成本跟準時送到顧客手中,透過時窗限制下的車輛路線規劃能夠解決跟滿足顧客要求,因此時間視窗車輛途程問題也更加重視。
本研究運用模擬退火法結合區域搜尋法求解時窗限制車輛巡迴路線問題。模擬退火法具有跳脫區域最佳解之特性,搭配區域搜尋法中的插入法跟交換法,使得交換能更有效率去找出最佳解和檢查是否有更好的解決辦法。
所發展之法,以Solomon所提出之標準例題來作測試,顧客數從25個、50個和100個開始來測試,例題中場站一個、車子有載重限制和時窗限制,基於車輛數需求和旅行距離成本,顧客數在25個、50個中有不錯的成果,在顧客數100個中最佳解的找尋上C類型均找到先前學者所發表之已知最佳解,R類型跟RC類型找出4組已知最佳解,在各類組中部份例題與最佳解比較上相差甚小,在平均車輛數相同時,我們所得距離成本少於先前學者的解,顯示本研究所提方法可有效的求解時窗限制之車輛途程問題。
In recent years, the customer request for sending time of the goods more strictly, it can be solved with customer's request in the vehicle routing problem with time windows (VRPTW). Because the constraints of VRPTW include the length of each route, loading capacity of vehicle and the available time window for each customer, it is more complex than travel salesperson problem and vehicle routing problem (VRP).
This research applied the simulated annealing (SA) combined with local search for solving the VRPTW. The developed approach can escape from the local optimal traps, and the use of exchange and insertion local search can find out the (near) optimal solution quickly and efficiently.
The Solomon’s benchmark instances are used for verifying the developed approach. All problems have 25, 50 and 100 customers, a delivery depot, constraints of loading capacity and time window. Based on the number of vehicles required and the traveling distance, good results are obtained when the number of customers equal to 25 and 50. In 100 customers, the developed approach finds all the best results in the C set, and find out 4 solutions which are equal to the best solutions found so far in R set and RC set at reasonable computational time. Our developed approach finds the average number of vehicles and route costs in most classes are better than or equal to those of previous researches. Therefore, the developed approach can be used to solve the VRPTW effectively.
誌謝 Ⅰ
摘要 Ⅱ
Abstract Ⅲ
目錄 Ⅳ
表錄 Ⅵ
圖錄 Ⅶ
ㄧ、緒論 1
1.1 研究背景和動機 1
1.2 研究目的 1
1.3 研究流程 2
二、文獻探討 5
2.1 傳統車輛途程路線問題理論 5
2.1.1 含時間視窗限制的車輛途程路線問題理論 6
2.1.2 其它車輛途程問題 6
2.2 車輛群迴路線問題求解方式 9
2.2.1 精確演算法 9
2.2.2 啟發式初始解法 10
2.3 通用啟發式演算法及文獻彙整 14
三、模式構建與研究方法 20
3.1 VRPTW的問題定義 20
3.2 所發展之演算法 23
3.2.1 模擬退火法參數設定 23
3.2.2 建構可行初始解 25
3.2.3 編碼方式 25
3.2.4 區域搜尋法 26
3.3 模擬退火法步驟 28
四、實驗結果 31
4.1 開發環境與測試例題 31
4.2 參數設定實驗 32
4.3 目標函數 33
4.4 實驗數據 33
4.4.1 Solomon題庫25個顧客例題 33
4.4.2 Solomon題庫50個顧客例題 36
4.4.3 Solomon題庫100個顧客例題 38
五、結論 42
5.1 結論 42
5.2 未來研究 43
參考文獻 44
附錄一 49
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