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生鲜农产品两阶段销售动态定价及生产优化

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以生鲜农产品直播预售和生产优化为研究对象,考虑生鲜农产品新鲜度、价格、营销努力对消费需求的综合影响,分别构建预售静态定价和常规销售动态定价两阶段需求函数,以利润最大化为目标函数,运用最优控制理论,结合Pontryagin极大值原理,对两阶段定价和生产优化进行规划求解,以期为生鲜农产品直播预售静态定价和常规销售动态定价及生产优化的运作管理提供支撑.算例分析发现:两阶段销售中,常规销售价格高于预售价格,且常规销售最优利润远大于预售利润.算例的灵敏度分析发现:直播预售定价和常规销售定价随着预售阶段消费者新鲜度敏感系数的增加而增加,进而带来两阶段利润大幅提升;两阶段销售价格都随着预售时间的增加而上升,但两阶段的总利润却随着预售时间的增加而下降;在销售时间相同时,常规销售价格一直随着单位库存成本的增加而增加,然而,在销售时间变动时,当单位库存成本小于阈值0.03时,常规销售价格随销售时间的延长而下降,当单位库存成本不低于阈值0.03时,常规销售价格随销售时间的延长而上升;随着新鲜度劣化率的上升,生鲜农产品前期新鲜度降速较缓,后期降速较快.其管理启示在于:生鲜农产品合作社应根据产品销售周期合理设置预售时间,并利用预售抢占市场和提高品牌知名度;合作社要实时关注消费者新鲜度敏感系数,据此调整营销努力水平和定价策略.对于新鲜度劣化率较高的农产品,合作社可考虑适当的保鲜措施以减缓新鲜度下降速度.
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

梁傲男、王淑云

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山东外事职业大学 管理学院,山东 威海 264504

烟台大学 经济管理学院,山东 烟台 264005

运输经济 生产优化 动态定价 生鲜农产品 直播预售 两阶段销售

国家自然科学基金山东省社会科学规划研究重点项目山东省人文社会科学研究项目

7207215422BGLJ062023-ESDZ-053

2024

公路交通科技
交通运输部公路科学研究院

公路交通科技

CSTPCD北大核心
影响因子:1.007
ISSN:1002-0268
年,卷(期):2024.41(4)
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