[[alternative]]A Study of Approximate Global Optimization Inventory Model Under Variable Lead Time

碩士商業教育學系[[abstract]]本論文延伸Ben-Daya and Raouf （1994）的模型提出一個同時考量變動前置時間及數量折扣的存貨模型。此外，利用作業研究中整數規劃的方法求解，不但解決含有數量折扣之存貨模型須經多階段程序求解的問題，還能取代傳統微積分只能求得區域解的限制。再者，它也能配合實際狀況適當地加入限制式，以符合現實狀況提供管理當局作決策。此延伸模型將會比傳統模型更一般化，而採用的方法將比傳統多階段求解程序更簡化。最後，將透過例子加以驗證。abe Based on Ben-Daya and Raouf's (1994) model, a new inventory model by considering both variable lead time and quantity discount is derived by this article. To solve quantity discount problem, traditional approaches used multiple steps process to obtain optimal solutions. This will increase the computational burden in the solution process. In this article, a linear programming relaxation is derived for the problem based on piecewise linearization techniques. This will reduce the computational burden in the solution process. Furthermore, allowing an inventory decision-maker to add constraints into the proposed model better the real-world situations. The approximate global optimal solution obtained by the proposed method is better than the local optimal solution obtained by traditional inventory models. Finally, an illustrative example is used to show the proposed method and a computational result is also represented for the usefulness of the proposed method.tc 第一章 緒論………………..………………………………………..1 1.1 研究背景……………………………………………………1 1.2 研究動機與目的……………………………………………2 1.3 研究流程……………………………………………………4 1.4 研究範圍與限制……………………………………………5 第二章 文獻探討………….………………………………………..7 2.1 基本EOQ文獻探討………………………………………7 2.2 有關前置時間……………………………………………10 2.3 有關數量折扣…………….….……………………………16 2.4 存貨模型匯總………….…….……………………………21 第三章 模型建立一………………………………..………………22 3.1 Ben-Daya and Raouf Model…………………………….23 3.1.1 假設與符號說明…………………………………….23 3.1.2 模型建立…………………………………………….23 3.1.3 範例………………………………………………….25 3.1.4 Ben-Daya & Raouf Model模型之缺點….…………26 3.2 改進之模型…………….………………………………..29 3.2.1 假設與符號說明…………………………………….29 3.2.2 模型建立…………………………………………….29 3.2.3 範例………………………………………………….44 3.2.4 比較與結論……….…………………………………45 第四章 模型建立二………………………………………………..46 4.1 假設與符號說明………………………………………….46 4.2 模型建立………….……………………………………….46 4.3 範例………………………………………………………..51 4.4 比較與結論………………………………………………..52 第五章 結論與未來研究方向……………….…………………….53 5.1 結論………………………………………………………..53 5.2 未來研究方向……………………………………………..58 參考文獻…………………………..………………………………..5