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研究生:范書豪
研究生(外文):Su-Hao Fan
論文名稱:易經最佳化演算法求解考慮相依整備時間下單機總加權延遲時間問題
論文名稱(外文):An I Ching optimization for the single machine total weighted tardiness problem with sequence dependent setup times
指導教授:曾兆堂曾兆堂引用關係
指導教授(外文):Chao-Tang Tseng
學位類別:碩士
校院名稱:朝陽科技大學
系所名稱:工業工程與管理系碩士班
學門:工程學門
學類:工業工程學類
論文種類:學術論文
論文出版年:2013
畢業學年度:101
語文別:中文
論文頁數:49
中文關鍵詞:單機易經相依整備時間總加權延遲時間
外文關鍵詞:I Chingsingle machinesequence dependent setup timestotal weighted tardiness
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本 論 文 將 探 討 單 機 (single machine) 在 相 依 整 備 時 間 (sequence
dependent setup times)限制下,總加權延遲時間(total weighted tardiness)
之排程問題,以排程符號表示為 1|
This paper investigates a single machine total weighted tardiness problem
with sequence dependent setup times. The problem is denoted by |
中文摘要 ............................................................................................................ I
Abstract .............................................................................................................. II
致謝 .................................................................................................................. III
目錄 .................................................................................................................. IV
表目錄 .............................................................................................................. VI
圖目錄 ............................................................................................................ VIII
第一章 緒論 .................................................................................................. 1
1.1 研究背景與動機 ............................................................................................. 1
1.2 研究目的 ........................................................................................................ 4
1.3 研究流程 ........................................................................................................ 4
第二章 文獻探討 .............................................................................................. 6
2.1 易經與科學 ..................................................................................................... 6
2.2 通用啟發法 ................................................................................................... 10
2.3 單機總加權延遲時間問題 ........................................................................... 13
第三章 研究方法 ............................................................................................ 14
3.1 問題模式 ...................................................................................................... 14
3.1.1 符號說明 ......................................................................................... 14
3.1.2 問題定義 ......................................................................................... 16
3.2 易經演算法 .................................................................................................. 16
3.2.1 初始化及計算目標函數值 .............................................................. 17
3.2.2 卜卦 ................................................................................................. 18
3.2.3 下卦指引 ......................................................................................... 25
3.2.4 上卦指引 ......................................................................................... 28
3.2.5 移動 ................................................................................................. 30
3.2.6 終止條件 ......................................................................................... 30
3.2.7 演算法步驟 ...................................................................................... 31
3.3 易經演算法實際範例 .................................................................................. 32
第四章 實驗結果與說明 ................................................................................ 40
第五章 結論與未來研究方向 ........................................................................ 45
5.1 結論 .............................................................................................................. 45
5.2 未來研究方向 .............................................................................................. 46
參考文獻 ......................................................................................................... 47


表目錄
表3.13.1 八卦與二進位對照八卦與二進位對照八卦與二進位對照表 .......................................................................... 22
表3.2 工件資料表 ............................................................................................. 33
表3.3 工件整備時間表 ..................................................................................... 33
表3.4 起始工件排序表 ..................................................................................... 34
表3.5 最佳解及目標函數最佳解及目標函數最佳解及目標函數值 .......................................................................... 37
表3.6 局部搜尋最佳解及目標函數值 ............................................................. 39
表4.1 演算法參數設定 ..................................................................................... 40
表4.2 標竿例題類型 ......................................................................................... 41
表4.3 14.3 14.3 1-10題目數據題目數據 ...................................................................................... 42
表4.4 11-20題目數據 ........................................................................................ 42
表4.5 21-30題目數據..................................................................................... 42
表4.6 31-40題目數據..................................................................................... 42
表4.7 41-50題目數據 ........................................................................................ 43
表4.8 51-60題目數據..................................................................................... 43
表4.9 61-70題目數據..................................................................................... 43
表4.10 71-80題目數據 ................................................................................... 43
表4.11 81-90題目數據 ................................................................................... 44
表4.12 91-100題目數據 ................................................................................. 44
表4.13 101-110題目數據 ............................................................................... 44
表4.14 111-120題目數據 ............................................................................... 44


圖目錄
圖1.11.1 六十四卦 ................................................................................................ 2
圖1.21.2 乾卦之辭及爻乾卦之辭及爻乾卦之辭及爻辭 ................................................................................ 3
圖1.3 研究流程圖 ............................................................................................ 5
圖2.1 2.1 八卦與二項式八卦與二項式八卦與二項式原理 ................................................................................ 7
圖2.22.2 六十四卦方陣演繹六十四卦方陣演繹六十四卦方陣演繹法 ............................................................................ 9
圖2.3 LS演算法的步驟 ................................................................................. 11
圖3.1 工件順序的表示方式 ............................................................................. 17
圖3.2 大衍之數揲卦法流程 ............................................................................. 21
圖3.3 卦象二進位轉換圖 ................................................................................. 22
圖3.4 太極生成圖太極生成圖 .......................................................................................... 23
圖3.5 先天八卦圖 .......................................................................................... 23
圖3.6 後天八卦圖 .......................................................................................... 24
圖3.7 八卦方向圖 .......................................................................................... 25
圖3.8 易經最佳化演算法流程圖 ..................................................................... 32
圖3.9 卜卦流程圖 ............................................................................................. 34
圖3.10 下卦↖方向工件抽取圖(a) .................................................................. 35
圖3.11 下卦↖方向工件抽取圖方向工件抽取圖方向工件抽取圖(b) ................................................................ 36
圖3.12 抽取工件插入至工件排序搜尋最佳解(a) .......................................... 36
圖3.13 抽取工件插入至工件排序搜尋最佳解(b) ........................................ 37
圖3.14 上卦↓方向工件移動圖 ...................................................................... 38
圖3.15 上卦加工順序第一工件局部搜尋 ....................................................... 38
圖3.16 上卦加工順序第二工件局部搜 ......................................................... 39
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