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研究生:胡美佳
研究生(外文):Mei-Chia Hu
論文名稱:單機及兩個代理商排程問題在具有釋放時間下最小化總延遲時間
論文名稱(外文):Single-machine two-agent scheduling to minimize the total tardiness with release time
指導教授:李文烱
指導教授(外文):Wen-Chiung Lee
學位類別:碩士
校院名稱:逢甲大學
系所名稱:統計與精算所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:77
中文關鍵詞:排程總延遲時間兩個代理商單機釋放時間
外文關鍵詞:schedulingtotal tardinesstwo-agentsingle-machinerelease time
相關次數:
  • 被引用被引用:1
  • 點閱點閱:251
  • 評分評分:
  • 下載下載:16
  • 收藏至我的研究室書目清單書目收藏:0
顧客的需求是依照各個單位的目的而有所不同,要想在人力、資源有限且控制成本下達到雙方都能得到最佳平衡結果,若能事先規畫良好的排程是能有效解決這樣的問題。
近年來,關於在兩個相互競爭的代理商之排程問題已經有越來越流行的趨勢。在本文中,我們研究了具有釋放時間的單機排程問題,其目標的限制為第二代理商的工作件最大延遲時間不得超過某一上限數值,進而尋找一種排程使得第一代理商工作件總延遲時間達到最小化。
我們針對此主題發展分枝界限法(branch-and-bound algorithm)尋找最佳解。此外,我們提出基因演算法(genetic algorithm, GA)尋找近似解。本文總共提出三種不同的基因演算法,並從事實際電腦模擬測試,其中加入一些控制參數設定的統計測試,進而評估分枝界限法和基因演算法。
The needs of customers are different under limited labor power, resourses and cost control. It will be more effective if we plan ahead.
In recent years, the scheduling problems with two competing agents have become more popular. In this paper, we studied a single-machine scheduling problem with release time where the objective is to minimize the total tardiness of jobs from the first agent given that the maximum tardiness of jobs from the second agent does not exceed an upper bound.
A branch-and-bound algorithm is developed to search for the optimal solution. In addition, genetic algorithm are proposed to obtain the near-optimal solutions. Computational experiments are conducted to evaluate the performance of the proposed branch-and-bound algorithm and the genetic algorithms. Statistical tests are also performed to study the impact of the parameters.
第一章 緒論 1
第一節 研究背景與動機 1
第二節 研究目的與架構 2
第二章 文獻探討 4
第三章 理論性質與解題方法 8
第一節 問題描述 8
第二節 凌越性質與定理 10
第三節 下界值 24
第四節 分枝界限法 26
第四章 基因演算法 27
第一節 基因演算法之程序 27
第二節 三種基因演算法之編碼 34
第三節 參數設定與分析 37
第五章 資料模擬與分析 43
第一節 生成資料之設定 43
第二節 小工作件之情形 45
第三節 大工作件之情形 59
第六章 結論與未來研究方向 65
參考文獻 67
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