Printed circuit board production planning using Physical programming approach 姜平、陳偉星
E-mail: 9315366@mail.dyu.edu.tw
ABSTRACT
Most of the previous research about printed circuit board (PCB) assembly had focused on machine-level optimization problems, such as placement sequence and feeder assignment. Less research effort was devoted to middle to short period production planning problems simultaneously. On the basis of goal-oriented strategies, this thesis studied the PCB production planning from Master Production Scheduling (MPS) to Finally Assembly Scheduling (FAS). The goal strategies in MPS were based two types of cost reductions that included production and holding cost. MPS is therefore a multiple criteria optimization problem. This thesis applied physical programming approach to solve this MPS problem. The solution from MPS was fed into the second layer problem to obtain final assembly sequence. The second layer (FAS) problem is a NP hard problem. In this research, GA was chosen to solve FAS problem. We compared solutions obtained from GA approach and the mathematical model in term of solution quality and efficiency.
Keywords : Printed circuit board assembly ; Master Production Schedule ; Finally Assembly Schedule ; Physical programming ; Genetic algorithm
Table of Contents
封面內頁 簽名頁 授權書 iii 中文摘要 iv ABSTRACT v 誌謝 vi 目錄 vii 圖目錄 x 表目錄 xii 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 1.4 研究流程 7 第二章 文獻探討及相關理論 8 2.1 印刷電路板相關文獻 8 2.2 生產系 統相關文獻 9 2.3 研究相關理論 10 2.3.1 多目標規劃 10 2.3.2 排程問題 13 2.3.3 基因演算法(Genetic Algorithm; GA) 16 第三章 研究方法 17 3.1 實體規劃方法 18 3.1.1 決策者準則偏好決定 19 3.1.2 準則的分類 20 3.1.3 Class Function的結構 21 3.1.4 LLPW Algorithm 及實體規劃數學模型 24 3.2 主生產排程導入實體規劃 25 3.3 最終組裝排程問題 27 3.4 最終組裝排程數學 模型 28 3.5 基因演算法 30 3.5.1染色體編碼 33 3.5.2染色體複製 33 3.5.3染色體交配 34 3.5.4染色體突變 35 3.5.5適合度函數 35 第四章 實驗結果與分析 37 4.1主生產排程之實體規劃結果分析 37 4.1.1 求解最小化組裝成本及最小化持有成本之結果 40 4.1.2 求解實體規劃及目標規劃之結果 41 4.2 最終組裝排程問題結果分析 48 4.2.1 基因演算法世代長度之分析 49 4.2.2 基因 演算法之族群大小、交配率、突變率之ANOVA分析 50 4.2.3 最佳化方法與基因演算法求解比較 55 第五章 結論與建議 58 5.1 結論 58 5.2 建議 58 參考文獻 60
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