一种新的带价格折扣的EOQ模型  

An Economic Order Quantity Model with Discounts

作　　者：班文杰[1] 李小申[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《洛阳师范学院学报》2015年第8期1-4,共4页Journal of Luoyang Normal University

基　　金：国家自然科学基金项目(11471102)

摘　　要：库存系统的一个重要参数就是价格,在经典的EOQ模型中,产品的价格被假定是一个常数,而实际产品的价格常常是随着订购批量的不同而不同的,即存在各种形式的价格折扣.本文给出两种类型的价格折扣:第一个是按订货量分段递增的折扣,即递增折扣;第二个是根据订货量确定的统一的折扣,即统一折扣.同时还会发现,有时库存费会随着商品价格的增加而增加.本文在考虑库存费用是否依赖于购买价格的条件下,为那些具有递增折扣和统一折扣的单一产品的库存问题找出了最佳解决方案.Price is an important parameter of inventory system. In the classical Economic Order Quantity model,the price of a product is presumed to be a constant,but the actual price of the product often varies as the ocder quantity varies. In other words,there are various forms of price discount. Two types of discounts are considered in this work： one is the incremental discount,and the other is the all-unit discount. Usually the holding cost of acommodity depends on its price： the higher the price is,the more the cost is. This paper provides the best solution for the single-product inventory problem with all units and incremental discounts.

关 键 词：库存系统 EOQ模型 订购批量 折扣 

分 类 号：O29[理学—应用数学]