研究了多个供应商和单个零售商出售多产品的供应链。假定产品需求为产品售价的线性函数,建立了延期支付条件下允许缺货的决策模型,给出了零售商的最优定价与订货策略。通过算例验证了模型的有效性,并对模型中的主要参数进行了灵敏度分析。研究发现,当产品全部售出所需时间的最优值不在给定的范围内时,最优值总是取允许范围内的最大值;产品的需求价格弹性越大,零售商的总利润越小,且需求价格弹性的变化只影响产品自身的订货量。
Optimal retailer’s pricing and replenishment policies for multi-product under permissible delay in payments are studied in a supply chain that consists of several suppliers and one retailer.With a fraction of shortage backordered and the rest lost,a mathematical model is developed.A numerical example is given to verify the validity of the proposed model and conduct sensitivity analysis on parameters.It shows that the optimal time needed to be sold out takes the maximum allowable value when out of range.The more the price elasticity of demand is,the lower total profit the retailer makes,and the elasticity fluctuations affect only its own order quantity.