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研究生: 林智勇
Lin, Jr-Yung
論文名稱: 具容量限制之p-Hub中位問題之研究
A Genetic Alogrithm for p-Hub Median Problem
指導教授: 林正章
Lin, Cheng-Chang
學位類別: 碩士
Master
系所名稱: 管理學院 - 交通管理科學系
Department of Transportation and Communication Management Science
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 53
中文關鍵詞: 基因演算法p-Hub 中位問題容量限制
外文關鍵詞: genetic algorithm, p-Hub median problem, capacitated
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  •   具容量限制之p-Hub 中位問題(capacitated p-Hub median problem)是當需求已知時,在符合網路容量限制下,由所有可候選的中繼站選取P 個中繼站,以達到整體網路營運成本的最佳化。以往有關軸輻式網路規劃之相關文獻,多以數學規劃的方式進行求解 (Bryan & O’Kelly, 1999),且通常不考慮網路中之容量限制。但當網路規模擴大時,節點與節線數目將呈現指數成長,因而耗費可觀的求解時間。基因演算法(genetic algorithm)已廣泛應用於求解各種最佳化問題,因此本研究以此演算法的概念,設計適合網路問題的演算法。本研究以大陸內陸航空貨運量前40 大城市所形成之網路進行實證測試。

       The typed of design problem we want to choose a fixed number p of the nodes to be hubs and allocate(or connect) the remaining nodes to one or more of the chosen hubs in such a way that operating costs of resulting network are minimized, which also considered capacity restrictions on hub is known as a capacitated p-Hub median problem.
       Due to it’s characteristics of NP-complete, a genetic algorithm which is widely complications to optimal problems was adopted within an acceptable a mount of running time. Finally, a mainland China airline freights network used to testing the accuracy and practicability on the model.

    第一章緒論..................... 7 1-1 研究動機.............................................7 1-2 研究目的.............................................8 1-3 研究範圍.............................................8 1-4 研究流程.............................................9 第二章文獻回顧.................. 10 2-1 軸輻式網路..........................................10 2-1-1 單一指派且無容量限制............................13 2-1-2 單一指派且有容量限制............................13 2-1-3 多重指派且無容量限制............................14 2-1-4 多重指派有容量限制..............................14 2-2 基因演算法相關文獻...................................15 第三章p-Hub 中位問題之數學模式........... 16 3-1 問題描述............................................16 3-1-1 純軸輻式網路....................................16 3-1-2 p-Hub 中位問題之網路結構.........................17 3-2 模式構建............................................19 3-2-1 變數說明.........................................19 3-2-2 參數: ..........................................20 3-2-3 決策變數: ......................................20 3-2-4 限制式說明: ....................................20 第四章演算法設計................. 21 4-1 基因演算法(Genetic Algorithms)簡介..................21 4-1-1 基因演算法基本架構...............................21 4-1-2 基因演算法優缺點................................26 4-2 以基因演算法求解p-Hub 中位問題......................27 4-2-1 基因編碼方式....................................27 4-2-2 適應值函數......................................29 4-2-3 懲罰函數........................................29 4-2-4 天擇(Selection Mechanism) .......................29 4-2-5 交配(Crossover) .................................29 4-2-6 突變(Mutation) ..................................29 4-2-7 終止條件........................................30 4-2-8 演算法流程圖....................................31 第五章實證分析.................. 32 5-1 大陸內陸航空網路....................................32 5-2 實證數據估算........................................34 5-2-1 貨運量..........................................34 5-2-2 節線容量限制....................................34 5-2-3 運輸成本........................................34 5-3 實證分析............................................35 5-4 需求不確定性下之航空路網規劃........................39 5-5 敏感度分析(一) ......................................42 5-6 敏感度分析(二) ......................................49 第六章結論與建議................. 51 參考文獻...................... 52

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