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研究生:陳志忠
研究生(外文):Chih-Chung Chen
論文名稱:持有成本可縮減之隨機性存貨模型
論文名稱(外文):Stochastic Inventory Models with Holding Cost Reduction
指導教授:張宏吉張宏吉引用關係
指導教授(外文):Hung-Chi Chang
學位類別:碩士
校院名稱:國立臺中技術學院
系所名稱:事業經營研究所
學門:商業及管理學門
學類:企業管理學類
論文種類:學術論文
論文出版年:2007
畢業學年度:95
語文別:中文
論文頁數:54
中文關鍵詞:存貨持有成本連續盤查週期盤查
外文關鍵詞:inventoryholding costcontinuous reviewperiodic review
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在存貨管理領域中許多的研究都是以經濟訂購量(EOQ)模式為基礎,考慮現實環境的改變而修改部分假設,使建構的模型更能符合實際的應用。長久以來,單位持有成本經常被視為一固定的常數;直至最近,學者Billington (2003)才提出單位持有成本可透過增加投資支出而加以縮減的概念,而該研究仍以需求為已知的傳統EOQ模型為基礎。在現實的環境中,未來的需求充滿著不確定性,本論文的主要目的即是拓展Billington的研究至需求不確定的環境。
本研究是以一般常見的隨機性存貨模型為基礎 (即連續盤查及週期盤查存貨模型),但放寬單位持有成本為常數的假設,進而建構單位持有成本可投資縮減的隨機性存貨模型。文中針對產品流動速度的快慢,分別考慮前置時間內之需求量(連續盤查)及保護期間內之需求量(週期盤查)為常態分配及Laplace分配兩種情形。在總成本最小化的目標下,透過計量方法分析模型之特性,並建立求解演算法,探討企業的最適投資及存貨策略。
In most of the early literature dealing with inventory problems, holding cost is viewed as a prescribed constant and is not subject to control. In practices, holding cost could be reduced by extra expenditure; in other words, it is controllable. Recently, Billington (2003) presented this idea and modified the classic EOQ model to include a reduction in the per-unit holding cost. One of the basic assumptions of EOQ model is that the demand is deterministic, while it is often with uncertainty. The aim of this research is to extend Billington’s work to the uncertain environments.
In this thesis, we propose two stochastic inventory models with holding cost reduction, based on the well-known continuous review and periodic review inventory systems. The demand during lead time (continuous review) is formulated by the Normal and Laplace distributions, concerning the fast- and slow-moving items, so does the demand during protection interval (periodic review). The objective is to minimizing the expected total annual cost by simultaneously optimizing the order quantity/review period, reorder point/target level and per-unit holding cost. For each model, a solution procedure is developed to find the optimal solution. Numerical examples along with sensitivity analysis are provided to illustrate the results of proposed models.
目錄
表目錄 iii
圖目錄 iv
第一章 緒論 1
1.1 研究動機與目的 1
1.2 相關文獻探討 3
1.2.1 改變給定之相關文獻 3
1.2.2 連續盤查存貨模型中改變給定的研究 4
1.2.3週期盤查存貨模型中改變給定的研究 5
1.2.4持有成本縮減的研究 5
1.3 本文研究結構 6
第二章 單位持有成本可縮減的連續盤查存貨模型 9
2.1 符號說明與假設 10
2.2 模型建立 11
2.3 模型求解過程 13
2.3.1 前置時間內需求量為Laplace分配 13
2.3.2 前置時間內需求量為常態分配 17
2.4 數值範例及敏感度分析 18
第三章 單位持有成本可縮減的週期盤查存貨模型 24
3.1 符號說明與假設 24
3.2 模型建立 26
3.3 模型求解過程 28
3.3.1 保護期間內需求量為Laplace分配 28
3.3.2 保護期間內需求量為常態分配 31
3.4 數值範例及敏感度分析 33
第四章 結論 40
4.1 主要研究結果 40
4.2 未來研究方向 43
參考文獻 44
附錄A 49
附錄B 52
附錄C 53

表目錄
表2-1 演算法一的求解結果 19
表2-2 模型與 模型之最佳解比較表-Laplace分配 19
表2-3 模型與 模型之最佳解比較表-常態分配 20
表2-4 連續盤查模型之敏感度分析表-Laplace分配 22
表3-1 演算法二的部份求解結果 34
表3-2 模型與 模型之最佳解比較表-Laplace分配 35
表3-3 模型與 模型之最佳解比較表-常態分配 36
表3-4 週期盤查模型之敏感度分析表-Laplace分配 38

圖目錄
圖1-1 本文結構之流程圖 8
參考文獻
英文部份:
Ben-Daya, M. & Raouf, A. (1994). Inventory Models with Involving Lead Time as Decision Variable. Journal of the Operational Research Society, 45, 579-582.
Billington, P. J. (2003). Holding Cost Reduction in the EOQ Model. Journal of American Academy of Business, 3, 409-415.
Brown, R. G.. (1963). Smoothing, Forecasting and Prediction of Discrete Time Series. Englewood Cliffs: Prentice Hall.
Das, C. (1976). Explicit Formulas for the Order Size and Reorder Points in Certain Inventory Problems. Naval Research Logktics Quarterly, 23, 25-30.
Hadley, G. & Whitin, T. M. (1963). Analysis of Inventory Systems. New Jersey: Prentice Hall.
Hariga, M. & Ben-Daya, M. (1999). Some Stochastic Inventory Models with Deterministic Variable Lead Time. European Journal of Operational Research, 113, 42-51.
Hariga, M. (2000). Setup Cost Reduction in (Q,r) Policy with Lot Size, Setup Time and Lead-Time Interactions. Journal of the Operational Research Society, 51, 1340-1345.
Harris, F. M. (1913). How Many Parts to Make at Once. The Magazine of Management, 10, 135-136.
Keller, G. & Noori, H. (1988a). Justifying New Technology Acquisition through its Impact on the Cost of Running an Inventory Policy. IIIE Transactions, 20, 284-291.
Keller, G. & Noori, H. (1988b). Impact of Investing in Quality Improvement on the Lot Size Model. OMEGA-International Journal of Management Science, 16, 595-601.
Lee, D. W. (2006). Optimal Investment to Reduce Lost Sales Rate in Periodic Review Inventory System. International Journal of Information and Management Sciences, 17, 91-106.
Liao, C. J. & Shyu, C. H. (1991). An Analytical Determination of Lead Time with Normal Demand. International Journal of Operations and Production Management, 11, 72-78.
Moon, I. K. & Cha, B. C. (2005). A Continuous Review Inventory Model with the Controllable Production Rate of the Manufacturer. International Transactions in Operational Research, 12, 247-258.
Nahmias, S. (1997). Production and Operations Analysis. Illinois: Irwin.
Ouyang, L. Y., Chen, C. K. & Chang, H. C. (1999). Lead Time and Ordering Cost Reductions in Continuous Review Inventory System with Partial Backorders. Journal of the Operational Research Society, 52, 1272-1279.
Ouyang, L. Y. & Chuang, B. R. (1999). A Minimax Distribution Free Procedure for (T,R,L) Inventory Model. International Journal of Information and Management Sciences, 10, 13-23.
Ouyang, L. Y., Chuang, B. R. & Lin, Y. J. (2003). Impact of Backorder Discounts on Periodic Review Inventory Model. International Journal of Information and Management Sciences, 14, 1-13.
Ouyang, L. Y., Chuang, B. R. & Lin, Y. J. (2005). Periodic Review Inventory Models with Controllable Lead Time and Lost Sales Rate Reduction. Journal of the Chinese Institute of Industrial Engineers, 22, 355-368.
Ouyang, L. Y. & Wu, K. S. (1998). A Minimax Distribution Free Procedure for Mixed Inventory Model with Variable Lead Time. International Journal of Production Economics, 56-57, 511-516.
Ouyang, L. Y., Yeh, N. C. & Wu, K. S. (1996). Mixture Inventory Model with Backorders and Lost Sales for Variable Lead Time. Journal of the Operational Research Society, 47, 829-832.
Porteus, E. L. (1985). Investing in Reduced Setups in the EOQ Model. Management Sciences, 31, 998-1010.
Porteus, E. L. (1986). Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction. Operations Research, 34, 137-144.
Paknejad, M. J., Nasri, F. & Affisco, J. F. (1995). Defective Units in a Continuous Review (S, Q) System. International Journal of Production Research, 33, 2767-2777.
Ravindran, A., Phillps, D. T. & Solberg, J. J. (1987). Operations Research. New York: John Wiley.
Silver, E. A., Pyke, D. F. & Peterson, R. (1998). Inventory Management and Production Planning and Scheduling. New York: John Wiley.
Tersine, R. J. (1994). Principle of Inventory and Materials Management. New York: North Holland.
Wang, C. H., Shu, M. H. & Chao, I. M. (2006). Setup Cost Reduction in (Q,r) Policy with Lot Size, Setup Time and Lead-Time Interactions. Journal of Information and Optimization Sciences, 27, 249-258.

中文部份
林清河(民84)。物料管理。臺北市:華泰。
楊文鐸(民89)。流動速度於不同產品壽命週期之存貨政策研究。國立台灣科技大學工業管理系博士論文,未出版,台北市。
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