研究生: |
翁仁一 Ren-Yi Wong |
---|---|
論文名稱: |
以限制多目標演化演算法求解具時窗限制之車輛路由問題 A Constrained Multiobjective Evolutionaary Algorithm for the Vehicle Routing Problem with Time Windows |
指導教授: |
蔣宗哲
Chiang, Tsung-Che |
學位類別: |
碩士 Master |
系所名稱: |
資訊工程學系 Department of Computer Science and Information Engineering |
論文出版年: | 2013 |
畢業學年度: | 101 |
語文別: | 中文 |
論文頁數: | 36 |
中文關鍵詞: | 多目標最佳化 、演化式演算法 、時窗限制車輛路由問題 、限制處理 |
論文種類: | 學術論文 |
相關次數: | 點閱:221 下載:18 |
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「時窗限制車輛路由問題 (Vehicle Routing Problem with Time Windows, VRPTW)」在原有的車輛路由問題 (Vehicle Routing Problem, VRP) 上增添時間的限制,增加了題目的難度,但也更符合現實生活中的需求。此問題的研究已有20多年歷史。過去的精確演算法對於如此困難的問題,往往不能求解規模龐大的輸入。近年許多研究偏好採用多目標最佳化的方式解決,但因此問題的時窗限制較難修復,較少人會提及不合法解的處理。
本研究修改自現有的MOEA-EO [14]。在交換最佳的路由時,總是選擇客戶數目最多的,以祈刪除最多的客戶以減少路由數目。在限制處理上,環境的選擇會依據解的合法性,使用不同的凌越關係來分級。合法的解會使用傳統的解題目標來分級,不合法的解會使用限制的違反量來分級。最後會以交互的方式篩選出可以存活到下一代的個體,適當保留不合法的個體以增加搜尋的廣度。
本演算法對於客戶數目較少的問題已有不錯的表現。在Solomon 25個客戶的問題中,更新了9個最佳解。
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