Dynamic Pricing and Production Optimization for Two-stage Sales of Fresh Agricultural Product
Taking live broadacast pre-sale and production optimization of fresh agricultural products as the research object,considering the comprehensive impact of fresh agricultural products'freshness,price,and marketing efforts on consumer demand,the two-stage demand functions of pre-sale static pricing and conventional sales dynamic pricing are constructed respectively.With profit maximization as the objective function,the optimal control theory and Pontryagin maximum value principle are applied.The two-stage pricing and production optimization are planned and solved in order to provide support for the static pricing of live broadcast pre-sale of fresh agricultural products,the dynamic pricing of regular sales,and the operation management of production optimization.The example analysis shows that the conventional price is higher than the pre-sale price,and the optimal profit of conventional sales is much higher than the pre-sale profit.The sensitivity analysis of the example shows that the live broadcast pre-sale pricing and regular sales pricing increase with the increase of sensitivity coefficient of consumer freshness in the pre-sale stage,which leads to a substantial increase in profits of two stages.The sales price of the two stages increases with the increase of the pre-sale time,but the total profit of the two stages decreases with the increase of the pre-sale time.When the selling time is same,the conventional price always increases with the increase of unit inventory cost.However,when the selling time changes and the unit inventory cost is less than the threshold value of 0.03,the conventional price decreases with the extension of selling time.When the unit inventory cost is not less than the threshold value of 0.03,the conventional price increases with the extension of selling time.With the increase of freshness deterioration rate,the freshness of fresh agricultural products decreases slowly in the early stage and faster in the late stage.The management inspiration is that the fresh agricultural product cooperatives should reasonably set the pre-sale time according to the product sales cycle,and use the pre-sale to seize the market,and improve brand awareness.The cooperatives should pay attention to the freshness sensitivity coefficient of consumers in real time,and adjust the level of marketing efforts and pricing strategies accordingly.For agricultural products with a high rate of freshness deterioration,the cooperatives may consider appropriate preservation measures to slow down the rate of freshness decline.
transport economyproduction optimizationdynamic pricingfresh agricultural productlive broadcast pre-saletwo-stage sales