基于资金约束的鲜活农产品采购决策

On Purchasing Policy for Fresh Agricultural Products with Budget Constraint

考虑采购资金约束,建立随机需求条件下有机和无机两类鲜活农产品的采购决策模型,证明最优采购量的存在性,并得到最优解的表达式。算例分析表明,无机(有机)农产品的采购成本、需求密度对无机(有机)农产品的最优采购决策有重要影响,无机农产品的采购量与采购成本呈负相关,与需求密度呈正相关;无机(有机)农产品的采购成本能够影响有机(无机)农产品的最优采购量。有机农产品单位采购成本的增加对无机农产品最优采购量的影响要大于无机农产品的单位采购成本的增加对有机农产品最优采购量的影响。

Based on the stochastic demand,the paper establishes a purchasing policy decision model of fresh organic and inorganic agricultural products considering budget constraint,demonstrates the existence of the optimal ordering quantity and arrives at the expression of the optimal solution. Analysis of examples shows that both the order cost and demand density of the organic( inorganic) agricultural products could affect the optimal ordering quantity: the quantity of inorganic products is negatively co-related to the order cost and positively co-related to demand density. Moreover,the impact of organic agricultural product' s cost increase on inorganic agriculture product's optimal ordering quantity is larger than the vice impact.