於傳統的產能批量問題(Capacitated Lot Sized Problem，CLSP)中，產能假設為已知。然而，在實際上產能多為未知或尚未確定；尤其當
計劃的時間延長時，產能預測將包含更多的不確定因素。在多數的情形
下，歷史資料及其機率分配將用於產能的評估，但歷史資料往往不易取得且其機率分配難以推估，而此種產能推估，若由決策者主觀的經驗判斷並透過模糊函數來表達產能將更實用且自然。這種表達法之主要優點為決策者在決定產能時不需只給單一值或是機率分配。本研究應用模糊集合理論於產能批量問題，以Florian和Klein[14]求解最佳產能之方法為主體，並加以修改，以使其可以處理模糊產能；最後應用模糊等級比較法求出一最佳生產計劃。

The capacitated lot size problems have been modeled based
on the assumption that the capacity is known exactly. However, in practical applications, this is seldom the case. Especially
as the planning horizon increases, more uncertainty is embedded in the capacity forecast. In the most situations, the capacity is estimated as being within a certain interval without any
knowledge of a probability distribution within the interval. Due to this interval estimation characteristic, representation of the capacity is more realistically and naturally through the use of a fuzzy number. The main advantages of such a
representation is that the decision- maker does not have to give a single precise number nor a probability distribution to represent the capacity. This investigation introduces the application of fuzzy sets theory to the capacitated lot size problems, where decision making is characterized by the lack of precise future capacity estimates. In this work, the capacitated lot size heuristics borrowed from Florian and Klein[14] are modified to accept fuzzy capacity.

封面
簽名頁
授權書………………………………………………………………iii
中文摘要……………………………………………………………v
英文摘要…………………………………………………………..vi
誌謝…………………………………………………………………vii
目錄…………………………………………………………………viii
圖目錄………………………………………………………………x
表目錄………………………………………………………………xi
第一章 緒論………………………………………………………1
1.1 研究背景……………………………………………1
1.2 研究目的……………………………………………2
1.3 研究方法與範圍……………………………………2
1.4 論文章節概要………………………………………4
第二章 文獻探討…………………………………………………5
2.1產能的定義與分類……….…………………………5
2.2產能規劃的重要性.…………………………………6
2.3產能批量問題…………………….…….………….6
2.4 F&K法……………………………………………….7
2.5各文獻研究之探討………………………………….8
第三章 模糊產能批量問題………………………………………14
3.1符號說明…………….………..……………………14
3.2模糊產能下之F&K法……...……………………….15
3.3模糊等級比較法……..…………………………….16
3.4求解生產計劃步驟………………………………...18
3.5 數值範例(一)………………………………………24
3.5.1 計算所有節點組合………………………………25
3.5.2 局部模糊生產計劃………………………………25
3.5.3 計算模糊生產總成本……………………………34
第四章 模糊環境下之產能批量問題….……………………….38
4.1符號說明………………………………….…………38
4.2模糊環境下之F&K法………………………………..38
4.3求解生產計劃步驟………………………………….39
4.4數值範例(二)……………………………………….40
4.4.1計算模糊生產總成本…………………………….40
第五章 結果分析與討論……………………………………….47
5.1 F&K法、模糊F&K法之結果比較…………………..47
5.2模糊結果的使用與解釋…..……………………….48
第六章 結論……………………………………………………..51
參考文獻……………………….………………………………….52
附錄(一)……………………………………………………………56
附錄(二)……………………………………………………………81
圖目錄
圖3-1 模糊數 與 的左右範圍..…………………………………17
圖3-2 考慮模糊產能時，決定 值之流程圖………….………..19
圖3-3 某一期可能產生存貨或缺貨，a<0，c>0…………………20
圖3-4 求解生產計劃流程圖………………………………....…24
圖3-5 10種節點組合……………………………………………..25
圖3-6 的最短路徑和…………………………………………...26
圖3-7 使用DP求解 路徑長度之流程示意圖…………………….31
圖3-7 使用DP求解 路徑長度之流程示意圖(續)……………….32
圖3-8 總成本之隸屬度函數………………………………………37
圖4-1同時考慮模糊需求與模糊產能下，決定 值之流程圖.….39
圖4-2總成本之隸屬度函數…………………………………...…46
圖5-1需求為8，生產批量可以滿足需求的可能性………………48
表目錄
表2-1.各文獻所作研究之整理……….………………………….11
表2-1.各文獻所作研究之整理(續)………………………………12
表2-1.各文獻所作研究之整理(續)………………………………13

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