以圖對為基礎之啟發式演算法，求解動態設施規劃問題

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姓名

謝祥凡(Hsiang-fan Hsieh) 查詢紙本館藏

畢業系所

工業管理研究所

論文名稱

以圖對為基礎之啟發式演算法，求解動態設施規劃問題
(Solving the Dynamic Facility Layout Problem with graph pair-based heuristics)

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摘要(中)

近年來，隨著科技技術日新月異，企業間競爭力不斷增長，公司內廠房佈置顯得特別重要，且會影響特定空間之整體作業效率。許多製造組織因企業環境天性，對部門配置進行週期性調整，因此，設施佈置也應擬訂相關動態設施佈置計劃，以配合不同的生產策略。相較之下，傳統單期設施規劃著重於單一時間之廠房佈置，且未考慮長期性之廠房規劃，以致於廠房將因應需求，對廠房佈置進行設施重置時，額外支出多餘成本及規劃時間。因此，本研究將提出一套動態啟發式演算法，求解動態設施規劃問題，以提供一套考慮多時期之設施佈置方案。而動態指部門位置於下一期之需求產生變動，其需求可能為部門面積改變、部門邊長比例大小、變動部門位移成本、部門間物流量及成本及廠房面積。因此，本研究致力於發展彈性化設施佈置，運用靜態設施規劃問題及圖對為方法基礎，其包括以圖對表示部門間相對位置、混合整數規劃模型及靜態啟發式演算法，以發展一套動態啟發式演算法。

摘要(英)

Recently, competitions among companies have been increased by advanced technology. Therefore, the facility layout of corporation will play an important role in the future and it will have influence on operational efficiency. In the past, traditional facilities planning always focused on the single-period. Because it did not consider the long-term layout planning for the future, it should pay extra cost and time when it need to re-layout. Basically, manufacturing organizations often adjust and vary layout periodically for the business strategy. For example, expanding, shrinking and moving the departments. Dynamic strategy is adjusting design of moving materials, varying space of departments via planning periods, to design and arrange the most efficient facility layout. But it will produce some relocation costs since change the layout from certain period to the next. However, we proposed a heuristic algorithm to minimize both material handling costs and relocation costs. Assuming all the departments are rectangular in shape, varying departments in area, given facility in area and planning period. We operate graph-pair to control the location of departments in layout. Solving the dynamic facility layout by a mixed-integer programming and dynamic heuristic algorithm.

關鍵字(中)

★ 廠房佈置
★ 模擬退火法
★ 混合整數規劃
★ 圖對
★ 動態設施規劃

關鍵字(英)

★ simulated annealing
★ facilities layout planning
★ dynamic facility layout problem

論文目次

目錄
摘要 i
Abstract ii
圖目錄 vi
表目錄 viii
第一章緒論 1
1.1 研究背景及動機 1
1.2 研究目的 2
1.3 研究範圍與假設 2
1.4 論文架構 3
第二章文獻探討 5
2.1 靜態設施規劃問題(SFLP) 6
2.1.1 確切式求解 6
2.1.2 啟發式求解 9
2.2 動態設施規劃問題(DFLP) 11
2.2.1 確切求解方法 12
2.2.2 啟發式方法 15
2.3 設施規劃電腦應用系統 19
第三章運用圖對求解靜態設施規劃問題 20
3.1 本章介紹 20
3.2 SFLP-MIP模型 20
3.3 以圖對表示部門間相對位置 21
3.3.1 迴圈 23
3.3.2 t-edge 23
3.4 圖對之相關演算法 23
3.5 圖對的建構及操作 24
3.5.1 建構初始設施佈置 24
3.5.2 部門交換 24
3.5.3 節線搬移 25
3.6 啟發式演算法 25
第四章運用圖對求解動態設施規劃問題 27
4.1 本章介紹 27
4.2 DFLP之假設 27
4.3 決定部門是否位移 28
4.3.1 部門擴張之位移成本 29
4.3.2 部門縮減之位移成本 30
4.3.3 部門(面積不變)移動之位移成本 31
4.4 DFLP-MIP模型 31
4.5 建構一列設施佈置 33
4.6 動態啟發式演算法 35
第五章實驗數據 37
5.1 測試題目：7個部門，1期 37
5.2測試題目：9個部門，2期 41
5.3測試題目：16個部門，2期 43
第六章結論與建議 46
6.1 結論 46
6.2 未來研究建議 46
參考文獻 47
附錄 A 51
附錄 B 52

參考文獻

參考文獻
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指導教授

王啟泰(Chi-tai Wang)

審核日期

2010-7-16

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