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以中国的果蔬消费量、生产量、种植面积和价格等数据为基础,首先建立了ward系统聚类分析模型,并引入0-1规划模型筛选出人们日常食用的主要果蔬.然后建立灰色预测模型对果蔬消费量进行估计和预测并分析其趋势.建立模糊综合评价模型计算出近20年来中国居民摄入营养素的综合均衡系数,并对近20年中国居民摄入营养素进行定量和定性分析对比.以中国七大区居民各种营养成份人均日摄入量达到标准范围和人均果蔬消费量小于供应量为约束条件,各地区各季度果蔬人均日花费最少为目标建立单目标规划模型,计算出七大地区每季度达到营养均衡各种果蔬年度人均果蔬消耗量.以人均购买水果每年人均消费最少、种植者收益最大、果蔬种植面积最小为目标,建立多目标线性规划模型,利用遗传算法对多目标规划模型进行优化,最后寻找出Pereto最优解.最后将多目标规划模型求解的人均果蔬总花费与单目标规划模型的人均果蔬总花费、人均果蔬实际总花费进行对比分析.
Based on the data of China’s consumption of fruits and vegetables, production volume, planting area and price, the paper first established the ward systematic cluster analysis model and introduced the 0-1 planning model to screen out the main fruits and vegetables for daily consumption.And then, established the gray prediction model The consumption and consumption of fruits and vegetables were estimated and predicted, and the trend was analyzed.The fuzzy comprehensive evaluation model was established to calculate the comprehensive equalization coefficient of nutrient intake of Chinese residents in recent 20 years, and quantitative and qualitative analysis of nutrient intake of Chinese residents in the past 20 years was made. Taking the per capita daily intake of all kinds of nutrition of residents in seven regions of China as the standard range and the per capita consumption of fruits and vegetables less than the supply as the constraint condition, the per-capita daily expenditure on fruits and vegetables in each region was the lowest. Large areas achieve nutritional balance every quarter of fruit and vegetable per capita annual consumption of fruits and vegetables per capita per capita to buy the least annual consumption of fruit, growers benefit most, the minimum area of fruits and vegetables as the goal, the establishment of multi-objective linear programming model, the use of genetic algorithms for multi-target Planning model optimization, and finally find the Pereto optimal solution The total cost of fruits and vegetables per capita fruit and vegetable programming model to solve the total cost of the single objective programming model, the actual total cost of fruits and vegetables per capita were analyzed.