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研究生: 陳柏瑋
Po-Wei Chen
論文名稱: 停車位共享系統之穩健排程
A Robust Scheduling Approach for Shared Parking System
指導教授: 喻奉天
Vincent F. Yu
口試委員: 郭人介
Ren-Jieh Kuo
吳政鴻
Cheng-Hung Wu
盧宗成
Chung-Cheng Lu
學位類別: 碩士
Master
系所名稱: 管理學院 - 工業管理系
Department of Industrial Management
論文出版年: 2015
畢業學年度: 103
語文別: 中文
論文頁數: 62
中文關鍵詞: 停車位共享停車位規劃問題背包問題穩健最佳化模擬退火法
外文關鍵詞: Parking Space Sharing, Parking Space Scheduling Problem, Knapsack Problem, Robust Optimization, Simulated Annealing
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  • 穩健共享停車位規劃問題(Robust Shared Parking Space Scheduling Problem)是共享停車位規劃問題(Shared Parking Space Scheduling Problem)的延伸問題。停車位共享(Parking Space Sharing)的概念,能利用私有車位解決停車位不足的問題。而穩健共享停車位規劃問題則是考慮實際狀況下,增加使用者離開時間為不確定之因素,利用穩健最佳化的設計,在最差狀況情境(worst-case scenario)下,所提出的穩健規劃也能獲得最多的收益。
    本研究可以分為三個階段,首先界定研究的範圍與目的,接著完整定義此問題,以背包問題(Knapsack Problem, KP)為基礎,利用穩健最佳化(Robust Optimization)的設計,建立本研究問題之數學規劃模型,最後參考相關文獻,以模擬退火法(Simulated Annealing, SA)為基礎,發展能有效求解此問題之演算法。為了驗證演算法之效果,本研究建立一測試題庫,進行不同類型題目的測試與分析,進而提出結論與建議。


    The Robust Shared Parking Space Scheduling Problem is one of the extensions of Shared Parking Space Scheduling Problem. Using the concept of “Parking Space Sharing”, private parking spaces can be utilized to satisfy the excess demand. The Robust Shared Parking Space Scheduling Problem considers a more practical issue of uncertainty in the departure time of users. By using Robust Optimization, the proposed robust scheduling can obtain maximum profit under the worst-case scenario.
    Our research can be divided into three stages. We first defined the scope and objectives of this research. In the second stage, we defined the problem and developed a mathematical model for the problem based on the Knapsack Problem (KP) with Robust Optimization. In the last stage, we developed an algorithm for the Robust Shared Parking Space Scheduling Problem based on Simulated Annealing (SA).
    A set of instances was created to test the applicability and the efficiency of the proposed meta-heuristic. Conclusions and suggestions are drawn based on the results of these computational experiments.

    摘要 I ABSTRACT II 目錄 III 圖目錄 V 表目錄 VI 第一章 緒論 1 1.1 研究背景與動機 1 1.2 研究目的 3 1.3 問題描述與假設 4 1.3.1問題描述 4 1.3.2問題假設 5 1.4 研究方法與流程 5 1.5 論文架構 6 第二章 文獻回顧 8 2.1 停車位規劃問題之相關文獻 8 2.1.1 背包問題 8 2.1.2 人員作業規劃問題 8 2.1.3 等效平行機台 9 2.2 穩健最佳化之相關文獻 10 2.3 求解演算法的相關文獻 11 3.1 共享停車位規劃數學模型 15 3.1.1問題描述 15 3.1.2問題基本假設 16 3.1.3共享停車位規劃問題模型建構 17 3.2 穩健共享停車位規劃問題 19 3.2.1穩健最佳化 19 3.2.2最差狀況情境 21 4.1 編碼方式 25 4.2 初始解架構 26 4.3 模擬退火演算法 28 4.4 鄰域解產生 31 4.4.1 Swap交換 34 4.4.2 Insert交換 35 第五章 實驗測試與結果分析 37 5.1 測試題庫建立 37 5.2 實驗參數設計 38 5.3 題庫測試結果 41 第六章 結論與建議 47 6.1 結論 47 6.2 建議及未來發展 47 參考文獻 49

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