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題名:The Criterion for the Optimal Solution of Inventory Model with Stock-Dependent Consumption Rate
書刊名:International Journal of Information and Management Sciences
作者:Deng,Peter ShaohuaChen,Hsiao-jungYang,Gino K. L.Chu,PeterHuang,Daisy
出版日期:2005
卷期:16:2
頁次:頁97-109
主題關鍵詞:InventoryStock-dependent demand rateNewton-raphson method
原始連結:連回原系統網址new window
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In 1989, Mandal and Phaujdar [Opsearch 26 43-46] considered an inventory model with stock dependent consumption rate and derived profit function without shortage allowed. However their algorithm was incomplete due to flaws in solution procedure. The purpose of this paper is to point out the sufficient and necessary condition of optimal solution to solve the same inventory model. For a linear demand rate dependent on stock level, the Newton-Raphson method is proven legitimately to find the optimal inventory level. Here we suggest and adequate starting point for the Newton-Raphson method for the Silver-Meal heuristic. Numerical examples illustrate that our starting point can be taken as an approximated solution for the optimal order quantity.
期刊論文
1.Chung, K. J.、Chu, P.、Lan, S. P.(2000)。A Note on EOQ Models for Deteriorating Items under Stock Dependent Selling Rate。European Journal of Operational Research,124,550-559。  new window
2.Datta, T. K.、Pal, A. K.(1990)。A Note on an Inventory Model with Inventory-Level-Dependent Demand Rate。Journal of the Operational Research Society,41(10),971-975。  new window
3.Urban, T. L.(1995)。Inventory models with the demand rate dependent on stock and shortage levels。International Journal of Production Economics,40,21-28。  new window
4.Padmanabhan, G.、Vrat, P.(1995)。EOQ Models for Perishable Items under Stock Dependent Selling Rate。European Journal of Operational Research,86(2),281-292。  new window
5.Silver, E. A.(1979)。A Simple Inventory Replenishment Decision Rule for a Linear Trend in Demand。Journal of the Operational Research Society,30,71-75。  new window
6.Chung, K. J.、Tsai, S. F.(1997)。An Algorithm to Determine the EOQ for Deteriorating Items with Shortage and a Linear Trend in Demand。International Journal of Production Economics,51,215-221。  new window
7.Sarker, B. R.、Balan, C. V.、Mukherjee, S.(1997)。An Order-level Lot Size Inventory Model with Inventory-level Dependent Demand and Deterioration。International journal of production economics,48(3),227-236。  new window
8.Mandal, B. N.、Phaujdar, S.(1989)。A Note on an Inventory Model with Stock-dependent Consumption Rate。Opsearch,26,43-46。  new window
9.Padmanabhan, G.、Vrat, Prem(1990)。Inventory Model with a Mixture of Back Orders and Lost Sales。International Journal of Systems Science,21(8),1721-1726。  new window
10.Gerchak, Yigal、Wang, Yun-Zeng(1994)。Periodic-review Inventory Models with Inventory-level-dependent Demand。Naval Research Logistics Quarterly,41(1),99-116。  new window
11.Giria, B. C.、Rajgopal, S.、Goswami, A.、Chaudhuri, K. S.(1996)。An Inventory Model for Deteriorating Items with Stock-dependent Demand Rate。European Journal of Operational Research,95(3),604-610。  new window
12.Mandal, M.、Maiti, M.(2000)。Inventory of Damagable Items with Variable Replenishment and Stock-dependent Demand。Asia-Pacific Journal of Operational Research,17(1),41-54。  new window
13.鐘崑仁(2003)。An Algorithm for an Inventory Model with Inventory-level-dependent Demand Rate。Computers & Operations Research,30(9),1311-1317。  new window
14.鐘崑仁、林賜德、藍筱蘋(1980)。The Production and Inventory Systems Taking Account of Time Value。Production Planning & Control,9(6),580-584。  new window
15.蔡穗馥、鐘崑仁(1999)。A Solution Procedure to Determine Inventory Replenishment Policies for Deteriorating Items in a Declining Market。Journal of Information & Optimization Sciences,20,1-15。  new window
16.鐘崑仁、林賜德(1995)。A Note on the Optimal Cycle Length with a Random Planning Horizon。The Engineering Economist,40(4),385-392。  new window
 
 
 
 
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