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研究了一个同时考虑商品采购数量和动态定价的季节性商品销售策略问题.顾客可以通过网络订购和现场购买两种方式购买该商品,且网络订购商品由销售商免费派送.两种方式下的商品需求量都是关于商品价格和购买时间的函数,而网络顾客在收到商品之前,会以一定的概率取消订单.销售商在销售期内,需要通过动态调整价格的策略来刺激消费者购买商品,以保证在销售季节内完成商品销售任务并提高销售商收益.提出了一个可以同时确定最佳采购数量和最优商品动态定价策略的数学模型,优化的目标是最大化销售商的收益,并给出该模型的求解算法.最后的算例表明,模型和算法是有效的,且相对静态价格策略,动态价格策略能为销售商带来更多的收益.
This paper studies a seasonal sales strategy that considers both the quantity of goods purchased and the dynamic pricing.Customers can purchase the goods through online ordering and on-site purchase, and the goods ordered by the network are distributed free of charge by the seller. Demand is a function of the price of the product and the time of purchase, and online customers cancel the order with a certain probability before they receive the goods.During the sales period, the seller needs to adjust the price strategy to stimulate consumers to buy goods So as to ensure the completion of the sales tasks and increase the profits of sellers in the sales season.A mathematical model that can simultaneously determine the optimal purchasing quantity and the optimal pricing strategy of the commodity is proposed to optimize the profit maximization of the sellers The algorithm of this model is given.The last example shows that the model and the algorithm are effective, and the relative static price strategy and dynamic price strategy can bring more benefits to the seller.