农产品运输距离与变质关系的数学建模分析

Analysis of Mathematical Modeling about Relation Between Agricultural Transportation Distance and Metamorphism

针对农产品运输过程的变质问题,考虑运输距离和变质损失的干扰,通过农产品的指数变质函数描述农产品的鲜活度随时间和温度的变化情况,依据农产品变质特征、运输距离的限制、运输成本、客户时间窗约束和农产品变质函数等约束规范下,塑造农产品的运输距离同变质关系的动态联合优化模型,采用最大最小蚂蚁算法,求解静态农产品变质条件下联合优化模型,获取最佳农产品运输距离,通过动态规划算法,求解动态农产品变质条件下联合优化模型,获取最佳农产品运输距离。采用MAT-LAB7的最优化求解功能能够获取模型的最佳解。实验结果说明,所提模型能够在确保农产品质量的条件下,有效获取最佳农产品运输距离。

According to the deterioration of agricultural transportation problem, to take into consideration the disturbance of transportation distance and the metamorphic loss, through the index of agricultural products degree of metamorphism function description of fresh agricultural products with the change of time and temperature, on the basis of metamorphic characteristics of agricultural products, transport distance limit, transportation costs, the customer time window constraints, and produce metamorphism function under the constraints such as specification, shape with metamorphic agricultural transport distance dynamic joint optimization model, the maximum minimum ant algorithm, to solve the static degenerative joint optimization model under the condition of agricultural products, to obtain the best agricultural products transportation distance, through the dynamic programming algorithm, to solve the dynamic metamorphic joint optimization model under the condition of agricultural products, to obtain the best transportation distance of agricultural products. Using MATLAB7 functions optimization algorithm can obtain optimal solution of the model. The experimental results indicate that the proposed model can under the condition of ensure the quality of agricultural products, effective access to the best transportation distance of agricultural products.