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研究生: 王聖豪
研究生(外文): Son-Hao Wang
論文名稱: 可控制退化率和存貨相關需求之退化性存貨模式之研究
論文名稱(外文): An inventory model for deteriorating items under stock-dependentdemand and controllable deterioration rate
指導教授: 戴忠淵
指導教授(外文): Chung-Yuan Dye
學位類別: 碩士
校院名稱: 樹德科技大學
系所名稱: 經營管理研究所
論文出版年: 2011
畢業學年度: 99
語文別: 英文
論文頁數: 38
中文關鍵詞: 存貨存貨依賴性需求退化率部分欠撥量保存技術成本
外文關鍵詞: inventorystock-dependent demanddeterioration ratepartial backloggingpreservation technology investment
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  在本研究中,我們建立一個與存貨相關的需求的退化性存貨模型,其中我們也將保存技術成本作為決策變數。本模式之目標為求得最佳的訂購及技術投資策略使得最大化利潤總額單位時間。對於任何保存技術的成本,我們首先證明了最佳的訂購策略不僅存在而且是唯一。緊接著,我們也將證明單位時間的利潤為保存技術成本的嚴格凹函數。最後,我們利用一些數值例子來說明模型的應用以及針對參數進行敏感性分析。

  In this paper, we formulate a deteriorating inventory model with stock dependent demand by allowing preservation technology cost as a decision variable in conjunction with replacement policy. The objective is to find the optimal replenishment and preservation technology investment strategies while maximizing the total profit per unit time. For any given preservation technology cost, we first prove that the optimal replenishment schedule not only exists but is unique. Next, we show that the total profit per unit time is a concave function of preservation technology cost when the replenishment schedule is given. We then provide a simple algorithm to find the optimal preservation technology cost and replenishment schedule for the proposed model.Finally, we use some numerical examples to illustrate the model.

Content
Chinese abstract………………………………………………………i
English abstract ………………………………………………………ii
Contents………………………………………………………………iv
Lists of Figures ……………………………………………………v
Lists of Tables ………………………………………………………vi
Notations and assumptions …………………………………………vii
1 Introduction …………………………………………………………1
2 Model formulation……………………………………………………4
3 Optimal strategies and numerical examples …………………………15
Figure 1………………………………………………………………16
Figure 2………………………………………………………………16
Figure 3………………………………………………………………17
4 Concluding remarks …………………………………………………22
References……………………………………………………………23

Lists of Figures
Graphical Representation of Inventory System…………………………4

Lists of Tables
Table 1…………………………………………………………………18
Table 2…………………………………………………………………19

References
[1] Baker R. & Urban T.L. (1988). Single-period inventory dependent demand models. Omega 16, 605–607.
[2] Chang C.T., Teng J.T. & Goyal S.K. (2010). Optimal replenishment policies for noninstantaneous deteriorating items with stock-dependent demand. International Journal of Production Economics, 123, 62–68.
[3] Chung K.J., Chu P., Lan S.P. (2000). A note on eoq models for deteriorating items understock dependent selling rate. European Journal of Operational Research, 124, 550–559.
[4] Datta T.K. & Pal AK. (1990). A note on an inventory model with inventory-level-dependent demand rate. Journal of the Operational Research Society, 41, 971-975.
[5] Desmet P. & Renaudin V. (1998). Estimation of product category sales responsiveness to allocated shelf space. International Journal of Research in Marketing, 15, 443–457
[6] Dye C.Y. & Ouyang L.Y. (2005). An eoq model for perishable items under stock-dependent selling rate and time-dependent partial backlogging. European Journal of Operational Research, 163, 776–783.
[7] Geetha K. & Uthayakumar R. (2010). Economic design of an
inventory policy for noninstantaneous deteriorating items under permissible delay in payments. Journal of Computational and Applied Mathematics, 233, 2492–2505.
[8] Gupta R. & Vrat P. (1986). Inventory model for stock-dependent consumption rate. Opsearch, 23, 9–24.
[9] Hsu P.H., Wee M.H. & Teng M.H. (2010). Preservation technology investment for deteriorating inventory. International Journal of Production Economics, 124, 88–394.
[10] Levin R.I., McLaughlin C.P., Lamone R.P. & Kottas JF. (1972). Productions/OperationsManagement: Contemporary Policy for Managing Operating Systems. New York:McGraw-Hill.
[11] Mandal B,N. & Phaujdar S., (1989). An inventory model for deteriorating items and stockdependent consumption rate. Journal of the Operational Research Society, 40, 483-488.
[12] Padmanabhan G. & Vrat P. (1995). Eoq models for perishable items under stock dependent selling rate. European Journal of Operational Research 86, 281–292.
[13] Wu K.S., Ouyang L.Y. & Yang C.T. (2006). An optimal replenishment policy for noninstantaneous deteriorating items with stock-dependent demand and partial backlogging. International Journal of Production Economics, 101, 369–384.

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