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研究生:羅敏華
論文名稱:蟻群最佳化演算法於載重限制之車輛途程問題的研究
論文名稱(外文):A new ant colony algorithm to vehicle routing problem under capacity and distance constraints
指導教授:梁韵嘉梁韵嘉引用關係
學位類別:碩士
校院名稱:元智大學
系所名稱:工業工程與管理學系
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:2003
畢業學年度:91
語文別:中文
論文頁數:74
中文關鍵詞:蟻群最佳化演算法車輛途程2-opt交換法鄰近解搜尋
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為了貫徹螞蟻演算法之中心思想,本研究嘗試模擬螞蟻實際覓食方式,提出同時釋放並且同時行進之螞蟻建構路線模式,以節省法(Savings)建構初始路線,蟻群最佳化演算法(Ant Colony Optimization, ACO)求解具車輛容量與車輛路線長度限制之車輛途程問題(The Vehicle Routing Problem under Capacity and Distance Constraints, DCVRP),以5隻螞蟻建構所有之問題路線,並且以2-opt交換法做鄰近解搜尋,直到無法再進行改善後停止,加入候選人名單(Candidate List),以減少計算時間同時達到事先淘汰不良路徑的目的。本研究根據Bullnheimer 等學者(1999)之研究文獻中的測試問題,選擇以Christofides 等學者(1979)於1979年所提出之標準測試例題進行測試,並將其結果與其他方法做比較,發現本研究在具路線長度限制之問題中,明顯優於ASold (Bullnheimer 等學者,1999)、AS(Bullnheimer 等學者,1998)與SavingsAnt(Doerner等學者,2002)三種螞蟻方法,與四種傳統啟發式方法表較中ACO-DCVRP表現最好,在萬用啟發式方法中,ACO-DCVRP之結果亦明顯優於另外四種啟發式方法:Taburoute(Gendreau 等學者,1994)、Osman’s Ts(Osman,1993)、GTS(Toth等學者,1998)與SA (Osman ,1993)。
中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
第一章 緒論 1
1.1研究背景與動機 1
1.2研究目的 2
1.3研究範圍及假設 2
1.4研究流程 3
第二章 文獻回顧 5
2.1 途程問題之分類 5
2.2 車輛途程(VRP)問題之目標分類 6
2.3 車輛途程(VRP)問題之求解方法分類 6
2.4 啟發式(Heuristic)方法應用在車輛途程問題之文獻回顧與介紹 7
2.4.1 傳統啟發式方法(Classical Heuristics) 8
2.4.2 萬用啟發式方法(Metaheuristic) 15
第三章 問題定義與研究方法 21
3.1問題定義 21
3.2 研究方法 23
3.2.1轉換法則 27
3.2.2費洛蒙即時更新(Online Update) 30
3.2.3鄰近解搜尋(Local Search) 30
3.2.4費洛蒙離線更新(Offline Update) 31
第四章 數據分析 32
4.1參數設計 32
4.1.1螞蟻數量 34
4.1.2費洛蒙濃度初始值( ) 35
4.1.3候選人名單(Candidate List)長度 35
4.1.4參數( ) 36
4.1.5參數 38
4.1.6參數 與 39
4.1.7費洛蒙更新規則與鄰近解搜尋機制之影響 41
4.2標準例題測試 42
4.2.1 不同螞蟻方法於標準測試問題之比較 43
4.2.2 ACO-DCVRP與傳統啟發式方法之比較 46
4.2.3 ACO-DCVRP與萬用啟發式方法之比較 48
第五章 結論 51
5.1結論 51
5.2未來研究方向 52
參考文獻 53
附錄一 60
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