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研究生: 劉志翔
Liu Chih-Hsiang
論文名稱: 基於繪圖處理器之帄行多目標演化式演算法軟體框架設計與應用
Design and Applications of a Software Framework of Parallel Multi-objective Evolutionary Algorithms based on Graphics Processing Units.
指導教授: 蔣宗哲
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: 2011
畢業學年度: 99
語文別: 中文
論文頁數: 104
中文關鍵詞: CUDA平行多目標演化式演算法繪圖處理器GPU軟體框架MOPFSP
論文種類: 學術論文
相關次數: 點閱:178下載:4
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  • 生活中我們常需面對最佳化問題,如最小化時間與成本,最大化空間與利益等等。當最佳化的目標不只一個,而且又互相衝突時,如何在目標之間取捨並求出符合使用者期望的解決方案,是一個應用層面廣泛而且頗具挑戰性的主題。近十年來在演化式計算 (evolutionary computation) 領域中,多目標演化最佳化 (evolutionary multi-objective optimization, EMO) 已經逐漸形成一個主流議題。
    演化式演算法一方面代表著對於計算資源的大量需求,另一方面也存在一定程度的並行性。由於存在這樣的需求與機會,各類型的帄行演化式演算法因應而生,帄行演化式演算法的執行需要帄行計算環境的支援,過去常見的帄行計算環境為叢集電腦或是分散式系統,然而這類環境的建置與維護對於一般使用者而言並不容易,成本也過於昂貴。
    NVIDIA公司目前傾力提倡的 CUDA 帄行計算環境,便提供了軟體設計者一種與 C 語言高度相近的語法來撰寫帄行化程式,以有效利用其帄價的繪圖處理器產品。本論文之目的便在於建構一個完整、易用、高彈性的軟體開發框架 (framework),與多目標演化式演算法、繪圖處理器共同形成一多目標最佳化解決方案。本軟體框架主要的特點為建置方便且成本低廉的帄行計算環境、快速簡單的軟體開發流程、易客製化的軟體開發框架。本論文將以多目標定序流線型工廠排程問題 (multi-objective permutation flow shop scheduling problem) 為應用實例,實驗結果顯示本論文所提出的軟體框架可以有效的加速演算法的執行。

    中文摘要 i 誌謝 ii 目錄 iii 圖目錄 vi 表目錄 viii 第一章 緒論 1 1.1 研究動機 1 1.2 背景知識 1 1.2.1 多目標最佳化問題 1 1.2.2 演化式演算法 3 1.2.3 Compute Unified Device Architecture (CUDA) 6 1.3 研究範圍 14 第二章 文獻探討 16 2.1 平行演化式演算法 16 2.2 平行演化式演算法與CUDA 20 2.3 平行演化式演算法軟體框架 24 第三章 基於 CUDA 之平行演化式演算法框架 29 3.1 架構與模型 29 3.2 基因型態 (Genome) 32 3.3 評估函式 (Evaluator) 34 3.4 適應度函式 (Fitness function) 36 3.5 交配選擇 (Mating selection) 39 3.6 交配 (Crossover) 39 3.7 突變 (Mutation) 42 3.8 環境選擇 (Environmental selection) 43 3.9 區域搜尋 (Local search) 46 3.9.1 區域搜尋演算法 (Local search algorithm) 47 3.9.2 候選者選擇 (Candidate selector) 50 3.9.3 鄰域函式 (Neighborhood generator) 52 3.9.4 解集合插入 (Solution injector) 55 3.10 初始設定 (Initialization) 58 3.11 終止條件 ( Stopping criterion) 62 第四章 使用軟體框架 63 4.1 基本設定 63 4.1.1 讀取設定檔 63 4.1.2 程式進入點 (主函式設定) 65 4.1.3 使用者定義標頭檔 (UserDefine.h) 66 4.2 基因結構的擴展 68 4.3 增加運算子 72 4.3.1 增加運算子 72 4.3.2 增加函式額外參考資料 74 第五章 多目標定序流線型工廠排程之應用 77 5.1 多目標定序流線型工廠排程問題 (MOPFSP) 77 5.2 實作演算法 78 5.3 實驗設計與結果 79 5.3.1 實驗問題集 79 5.3.2 計算環境與實驗設定 80 5.3.3 實驗結果分析 83 第六章 結論與未來發展 98 附錄 (一) 99 參考文獻 101

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