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研究生: 黃麟貴
huang, Lin-Kuei
論文名稱: 鋼鐵業直棒製程之平行機台重工排程問題
On Scheduling Reworks for Jobs on Parallel Machines under Steel Bar Manufacturing Process
指導教授: 王逸琳
Wang, I-Lin
學位類別: 碩士
Master
系所名稱: 管理學院 - 工業與資訊管理學系碩士在職專班
Department of Industrial and Information Management (on the job class)
論文出版年: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 51
中文關鍵詞: 重工排程平行機台貪婪演算法禁忌搜尋法
外文關鍵詞: Rework, Scheduling, Parallel Machine, Greedy Algorithm, Tabu Search
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  • 近年由於大陸鋼廠崛起,挾著規模經濟採取多量少樣的生產方式,以價格及產量優勢搶占大量市場;台灣鋼廠之規模雖然無法與其相比,但在技術與品質仍有其優勢,從多量少樣計劃生產方式轉為多樣少量的訂單生產方式。為了符合客製化的訂單生產,必須滿足客戶品質、訂單交期及零庫存的要求,然而製程加工時通常會產生瑕疵品,為要趕上訂單交期必須以重工方式修復瑕疵,因此可能影響原先生產計劃的時間安排,進而造成其它訂單的生產延遲。
    本研究擬探討盤元與直棒製程中經常處理之平行機台工件重工排程問題,在考慮交期與整備時間下,依平行機台生產條件限制,決定各工件應在哪一平行機台之排程順序,再假設各平行機台產生瑕疵工件之比例為已知下,決定重工工件應於哪一平行機台之排程順序。利用貪婪演算法ARI (All Reworks Insertion Rule) 和SRI (Single Rework Insertion Rule ) 二種不同角度的法則,以單一製程為試算單位,計算出原工件的生產排序與重工工件的插入排序,來求解區域的最佳解以達到全域的最佳近似解,並以禁忌搜尋法求解全域的最佳近似解,推算符合現場實際生產狀況的排程完成時間,提昇客戶訂單的達交率,以達到最小化平行機台中之最晚完工時間為目標。
    在求解效率與品質的表現方面,SRI較ARI為佳;由於ARI在交期、檢驗時間與工件有長短工時幾種因素影響下,其總完工時間數據的起伏變化較大,若將ARI經禁忌搜尋法進一步改善後,其表現將大為改善,在鋼鐵業的直棒製程中,運用SRI與ARI的運算結果可優於現行既有的排程方式。

    China’s steel mills have been a major player in the market because it follows a high-volume-low-variety strategy. This strategy involves selling large quantities but just a few types of steel in order to maximize production efficiency, which keeps prices low. High efficiency and low prices are China's primary advantages in the market. Even though the economic scale of Taiwan’s steel mills is smaller than China’s, Taiwan’s technology and quality of the steel are still competitive in the market. Hence, Taiwan’s production model has changed to a make-to-order strategy, meaning Taiwan produces a large number of customized steel products but low volumes of each type. In order to satisfy the customized specifications by different clients, steel mills have to fulfill different requirements on steel quality, deadlines, and zero stock. Because each customized steel product usually requires its own manufacturing process, defective products are common. Steel mills have to fix defects and rework their manufacturing process in order to meet deadlines of orders. Therefore, the reworking process may affect manufacturing schedules, which will in turn delay manufacturing of other orders.
    This thesis discusses issues of rescheduling jobs on parallel machines under steel bar manufacturing process. Due-dates, setup times, and production limitations of parallel machines can be used to determine individual work in a certain order for parallel machine scheduling. Furthermore, assuming that the rate of defective products of each parallel machine are known, one can reorganize tasks in a certain order to optimize the output of using parallel machines. In order to efficiently calculate good manufacturing schedules, we propose greedy algorithms based on two rules: ARI (All Reworks Insertion Rule) and SRI (Single Rework Insertion Rule). Once the original orders and the new order are known, these data can be used to calculate good local optimal solutions, which can then be further improved. We also give a tabu search method to solve our problem. By our proposed solution methods, steel mills could increase more production with shorter completion time of parallel machines.
    Our computational experiments indicate SRI performs better than ARI. However, the performance of ARI could be much improved when it integrates with the Tabu search mechanism. Both SRI and ARI are useful for making better schedules for manufacturing steel bar.

    摘要 i Abstract ii 誌謝 iv 目錄 v 圖目錄 viii 表目錄 x 1. 緒論 1 1.1研究背景 1 1.2研究動機 2 1.3研究目的 2 1.4研究流程 3 1.5論文架構 3 2. 文獻探討 5 2.1平行機台之排程問題 5 2.1.1機台環境 5 2.1.2機台特性與限制 6 2.1.3績效衡量準則 7 2.2重工 8 2.2.1重工之瑕疵問題 8 2.2.2重工之運作流程 9 2.3排程相關技術 10 2.2.1派工法則 10 2.2.2精確最佳解方法 12 2.2.2近似解方法 12 2.2.3電腦模擬方法 12 2.4盤元與直棒製程 13 2.5小結 15 3. 研究方法 17 3.1問題描述 17 3.2基本假設 18 3.3貪婪演算法模式建立與說明 18 3.3.1 參數說明 19 3.3.2 EDD+SPT with WIDR演算法 20 3.3.3 ARI演算法 22 3.3.4 SRI演算法 29 3.4禁忌搜尋法說明 33 3.4.1禁忌搜尋法的基本概念 34 3.4.2禁忌搜尋法的步驟 35 4. 實驗結果分析與討論 38 4.1實驗環境 38 4.2模式資料設定 38 4.3實驗分析與討論 39 4.3.1求解效率 39 4.3.2求解品質 40 4.4小結 45 5. 結論與建議 47 5.1結論 47 5.2未來研究與建議 48 參考文獻 49

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