基于腐损程度的季节性产品动态定价与订单量的集成优化

为了对易腐季节性产品的销售价格和订单量进行最优决策,考虑产品在不同腐损程度的情形下,需求与价格和时间同时相关的一类季节性产品的动态定价和订单量的集成优化问题.建立该类产品的价格制订次数、每次制订的价格和订单量的集成优化模型,并对模型进行求解,最后结合数例验证模型的实用性和可操作性,并分析产品腐损程度对价格制订次数、价格大小、订单量和利润的影响.结果表明,随着产品腐损程度的提高,零售商在销售季节内的产品价格最优制订次数保持不变;零售商在销售季节内所制订的最优价格逐渐微降;产品的最优订单量和所产生的最优利润逐渐微升.

Deteriorating Rate Based Integrated Optimization of Dynamic Pricing and Order Quantity for Seasonal Products

To optimize the sale prices and order quantity for deteriorating seasonal products with price and time-dependent demands,the optimization problem of dynamic prices and order quantity for seasonal products under difierent deteriorating rate is considered.A mathematical model is developed to optimize the number of pricing.pricesand order quantity.An algorithm is presented to identify the solution to this model.At last,a numerical example is given to verify the availability of this model,as well as to examine the impacts of deteriorating rate on the optimal number of pricing,optimal prices,optimal order quantity and optimal profit.It can be shown from analysis that the optimal number of pricing remain unchanged under different deteriorating rate,the optimal prices are slightly decreasing in deteriorating rate,the optimal order quantity and optimal profit are slightly increasing in deteriorating rate.