Deterministic Inventory Lot-Size Models with Time-Varying Demand and Cost under Generalized Holding Costs_

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題名：	Deterministic Inventory Lot-Size Models with Time-Varying Demand and Cost under Generalized Holding Costs
書刊名：	International Journal of Information and Management Sciences
作者：	Teng, Jinn-Tsair／Yang, Hui-Ling
出版日期：	2007
卷期：	18:2
頁次：	頁113-125
主題關鍵詞：	Inventory；Lot-size；Fluctuating demand；Fluctuating cost；Shortages
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(1) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:1 共同引用:0 點閱:14

In this paper, we generalize the EOQ model by Khouja and Park [6] to allow for not only time-varying demand but also unequal cycle time. We prove that there exists a unique optimal replenishment schedule and show that the total relevant cost is a convex function of the number of replenishments, which simplifies the search for the optimal number of replenishments to find a local minimum. Therefore, a simple iterative algorithm to obtain the optimal replenishment number and time scheduling is provided. In addition, an easy and simple heuristic algorithm to obtain the optimal solution for the lot-sizing model by Khouja and Park [6] is also proposed. Finally, numerical examples for illustrating the model are provided.

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期刊論文
1.	Wagner, H. M.、Whitin, T. M.(1958)。Dynamic Version of the Economic Lot Size Model。Management Science，5(1)，89-96。
2.	Donaldson, W. A.(1977)。Inventory Replenishment Policy for a Linear Trend in Demand: An Analytical Solution。Operational Research Quarterly，28(3)，663-670。
3.	Khouja, M.、Park, S.(2003)。Optimal lot sizing under continuous price decrease。Omega，31(6)，539-545。
4.	Dave, U.(1989)。A Deterministic Lot-size Inventory Model with Shortages and a Linear Trend in Demand。Naval Research Logistics，36(6)，507-514。
5.	Teunter, R.(2005)。A Note on "Khouja and Park, Optimal Lot Sizing under Continuous Price Decrease, Omega 31(2003)"。Omega: The International Journal of Management Science，33(6)，467-471。
6.	Teng, J. T.、Chern, M. S.、Yang, H. L.(1997)。An Optimal Recursive Method for Various Inventory Replenishment Models with Increasing Demand and Shortages。Naval Research Logistics，44(8)，791-806。
7.	Teng, J. T.、Yang, H. L.(2004)。Deterministic EOQ Models with Partial Backlogging When Demand and Cost Are Fluctuating with Time。Journal of the Operational Research Society，55(5)，495-503。
8.	Yang, H. L.、Teng, J. T.、Chern, M. S.(2001)。Deterministic Inventory Lot-size Models under Inflation with Shortages and Deterioration for Fluctuating Demand。Naval Research Logistics，48(2)，144-158。
9.	Friedman, M. F.(1982)。Inventory Lot-size Models with General Time-dependent Demand and Carrying Cost Function。INFOR，20(2)，157-167。
10.	Henery, R. J.(1979)。Inventory Replenishment Policy for Increasing Demand。Journal of the Operational Research Society，30(7)，611-617。
11.	Resh, M.、Friedman, M.、Barbosa, L. C.(1976)。On a General Solution of the Deterministic Lot Size Problem with Time-proportional Demand。Operations Research，24(4)，718-725。
12.	Lee, H. L.、Padmanabhan, V.、Taylor, T. A.、Whang, S.(2000)。Price Protection in the Personal Computer Industry。Management Science，46(4)，467-482。
13.	Goyal, S. K.、Morin, D.、Nebebe, F.(1992)。The Nite Horizon Trended Inventory Replenishment Problem with Shortages。Journal of the Operational Research Society，43(12)，1173-1178。

圖書
1.	Russel, R. S.、Taylor, B. W.(2000)。Operations Management。Upper Saddle River, NJ：Prentice Hall。
2.	Bellman, Richard E.(1957)。Dynamic Programming。Princeton, N.J.：Princeton University Press。

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