单向可替代产品价格和库存的联合决策

考虑单周期问题中零售商同时销售两种可单向替代的产品,以期望利润为目标函数建立数学模型.将库存和替代价格共同作为零售商决策变量,证明其目标函数是凹函数,并得到求模型最优解的充要条件及解存在的范围.最后假设产品需求为正态分布,通过数值实验对模型的最优解进行分析,结果表明:实行最优替代价格策略可以有效提高零售商期望利润;允许替代销售不一定提高市场服务水平;被替代产品的销售价格和残值对零售商的最优替代价格决策没有显著影响.

Joint Pricing and Procurement Decisions for Two Downward-Substitutable Products

In this paper,joint pricing and procurement decisions were analyzed for retailers selling two downward-substitutable products with random demands in a single-period.A profit maximization model was developed.It is proved that the objective function is concave, therefore there exist the optimal substitutable price and procurement quantity decisions so that the profit can be maximized.Finally,numerical study has been carried out to show that joint substitutable pricing and procurement decisions can bring profi...