文章基本信息

标题：An Inventory Model for Deteriorating Items withQuadratic Demand and Partial Backlogging
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作者：R. Begum ; S. K. Sahu ; R. R. Sahoo 等
期刊名称：Current Journal of Applied Science and Technology
印刷版ISSN：2457-1024
出版年度：2012
卷号：2
期号：2
页码：1128-1147
语种：English
出版社：Sciencedomain International
摘要：Aims: The scope of the model lies in its applicability in the management inventories of time-quadratic demand. It is also seen that large pile of goods displayed in a supermarket will motivate the customer to buy more. So the presence of inventory has a motivational effect on the people around it. Also there may be occasional shortages in inventory due to many reasons. Therefore, we develop an EOQ model for the inventory of a deteriorating item, taking demand rate and allowing shortages in inventory.Study Design: This paper presents an inventory model for deteriorating items with quadratic demand. In the model, shortages are allowed and partially backordered. The backlogging rate is a variable and dependent on the waiting time for the next replenishment. A numerical example is taken to illustrate the model and the sensitivity analysis is also studied. Methodology: Our purpose is to devise a mathematical model on inventory management taking all these factors into consideration. Results: Convexity condition of the cost function is established to ensure the existence of unique point of minimum. Conclusion: The proposed model can be extended in several ways. For instance, we may extend the demand function to stochastic fluctuating demand patterns or stock-dependent demand rate. Finally, we could extend the model to incorporate some more realistic features such as quantity discounts, permissible delay in payments, time value of money and inflation etc.
关键词：Inventory;quadratic demand;deteriorating items;partial backlogging