強化反向減量粒子群最佳化演算法

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姓名

王士驊(Shih-Hua Wang) 查詢紙本館藏

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電機工程學系

論文名稱

強化反向減量粒子群最佳化演算法
(Strengthen-reverse and reduction for particle swarm optimization)

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摘要(中)

本文旨在提出廣義性最佳化演算法探討與改良，其中廣義的最佳化演算法為最受重視，重要原因是適用範圍層面的問題，基因最佳化演算法、粒子群最佳化演算法、模擬退火法…等最常被使用，在規律的適應函式找極值上，每個方法各有優缺點，而優缺點取決於是否適應值符合標準和達到目標花費時間上的多寡，在不同的適應函式也各有不同的取向，基於以上的需求，本文也試著尋找更優於一般廣義性最佳化演算法的演算方式。
本論文嘗試以高度指向性配合強烈具跳出局部能力之方式，以此來達到搜索更迅速之目的，加上精簡演算法流程與使執行者使用上更方便設計的目標來完成此演算法，文末，吾人亦提出模擬以驗證本文改良法之可行性。

摘要(英)

This study aims to explore the problems of strengthen-reverse and reduction for particle swarm optimization. Genetic algorithm, particle swarm optimization and simulated annealing are widely used to search for the global optimal solutions of fitness functions. The present work tries to make some improvements and to reduce the consuming time of the generalized optimization algorithms. Whether the generalized optimization algorithms are good or bad usually depends on the fitness function value.
This paper tried to use high pointing-behavior to make the speed of seeking out the global optimum being higher. But we need to increase the chance of escaping from the local optimal solutions. Final the new algorithms are as simplified as possible and that the user will apply these algorithms more easy than others. In addition, the simulation is given to verify the feasibility of the present method.

關鍵字(中)

★ 廣義性最佳化演算法
★ 基因最佳化演算法
★ 粒子群最佳化演算法
★ 模擬退火法

關鍵字(英)

★ Generalized optimization algorithms
★ genetic algorithm
★ particle swarm optimization
★ simulated annealing

論文目次

中文摘要 i
英文摘要 ii
目錄 iii
圖目錄 v
表目錄 vi
一、　　緒論 1
1-1 研究動機與目的 1
1-2 背景知識 1
1-3 應用領域 2
1-4　　論文架構 3
1-5　　論文主要成果與貢獻 3
二、　　研究問題描述 5
2-1　　廣義性最佳化演算法代修正之問題 5
2-2　　傳統廣義性最佳化演算法模擬比較的盲點 7
三、　　本文提出之演算法 8
3-1　　廣義性最佳化演算法架構 8
3-1-1 子代產生 9
3-1-2 主演算架構 10
3-1-3 終止條件判定與最終輸出結果 11
3-2　　基於基因與粒子群最佳化演算法改良 11
3-2-1 子代數目的考量 11
3-2-2 指向性修正 13
3-3　　反向減量粒子群最佳化演算法流程 13
3-3-1 係數探討 14
3-3-2 流程示意 15
3-4　　基於反向減量粒子群最佳化演算法改良論點 16
3-4-1 修正論點一 16
3-4-2 修正論點二 17
3-4-3 修正論點三 17
3-5　　強化反向減量粒子群最佳化演算法流程 17
3-5-1 係數探討 19
3-5-2 流程示意 19
四、　　模擬結果 21
4-1　　演算法耗費資源比較 22
4-2　　高維度適應函數值精準比較模擬 23
4-3　　低維度適應函數值達標資源比較模擬 41
4-4　　討論 44
五、　　結論與未來展望 45
參考文獻 47
文章發表 51
附錄 52

參考文獻

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〔23〕網路資料：維基百科-基因演算法
https://zh.wikipedia.org/wiki/%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95.
〔24〕網路資料：維基百科-粒子群優化
http://zh.wikipedia.org/wiki/%E7%B2%92%E5%AD%90%E7%BE%A4%E4%BC%98%E5%8C%96.
〔25〕網路資料：模擬退火法(simulated annealing)
http://jjcommons.csie.isu.edu.tw/research/download/SA.pdf‎

指導教授

鍾鴻源(Hung-Yuan Chung)

審核日期

2013-8-27

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