货架摆放量影响需求的库存管理

Inventory management with shelf-dependent demand

建立某些商品的需求与库存管理模型,从商品自身的销售弹性与替代品的销售弹性出发,设定摆放量充足时货架摆放量与需求量是指数函数关系;当摆放量小于一定量时,顾客的需求为一常数,并且允许顾客流失和延迟销售;在此基础上建立货架摆放量与需求量的模型.并通过解析解的情况,求出最优解.

An inventory model with demand is established. According to the commodities elasticity of sales and substitution, if the goods are sufficient on the shelf, there is an exponential function relationship between the sales number and shelf-dependent volume. When the shelf-dependent volume is less than a certain amount,the sales are certain. The model allows the customer loss and delay sales. Through the analysis of the solution, the optimal solution is obtained.