摘要
基于第十一届"华为杯"全国研究生数学建模竞赛D题,在满足营养健康需要的前提下,就购买果蔬成本最少问题,建立线性优化模型,之后利用遍历搜索方法,分区域、分季节求解出农村、城市一年中不同季节的果蔬人均消费量及最低购买成本.最后考虑到居民人体的均衡营养、进出口贸易、种植面积等因素,建立购买成本最低一种植者收益最大的双目标优化模型,得出近几年各种果蔬合理的人均消费量,进一步就2020主要果蔬的种植面积提出建议.
The establishment of the model is based on problem D in the 11th ＆quot;huawei cup＆quot;National Post-Graduate Mathematics contest in modeling.In this paper,linear optimization model is established in order to minimize the spending on fruits and vegetables while meeting the needs of the nutrition and health.Then the traversal searching method is used to solve per capita consumption and minimum purchase cost of fruits and vegetables in the rural and urban areas in different seasons.Finally,double objective optimization model of lowest cost of purchase-growers biggest gains is builded when we consider the residents＇s balanced nutrition,import,export trade and planting area.Reasonable per-capita consumption of fruits and vegetables in recent years is advanced,and planting area of principal fruits and vegetables is proposed in 2020.
出处
《数学的实践与认识》
北大核心
2017年第22期111-122,共12页
Mathematics in Practice and Theory
基金
江西省教育厅科学技术研究项目(GJJ14469)
江西省高等学校教学改革研究项目(JXJG-15-6-22)
关键词
优化模型
遍历搜索算法
果蔬消费量
购买成本
optimization model
algorithm of traversing
consumption of fruits and vegetables
purchase cost
