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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.
Considering the single-cycle problem, the retailer also sells two products that can be replaced by one-way at the same time, and builds the mathematical model with the expected profit as the objective function.Using both inventory and substitution price as retailer decision variables, the objective function is proved to be a concave function, The necessary and sufficient conditions for finding the optimal solution of the model and the scope of the solution.Finally, assuming that the product demand is a normal distribution, the optimal solution of the model is analyzed through numerical experiments. The results show that implementing the optimal alternative pricing strategy can effectively improve the retailer Expect profit; allowing alternative sales does not necessarily improve the level of market service; the sales price and salvage value of the replaced product have no significant effect on the retailer’s optimal alternative price decision.