优化理论在营养配餐问题中的应用

Application of Optimization Theory in Nutritional Catering

摘要: 营养配餐是一项实践性很强的工作，与人们的日常饮食息息相关。如何做到营养配餐科学合理，一直是一个值得思考的问题。针对学龄前儿童、高血压和糖尿病患者的营养配餐问题，以最大热量和最少花费为目标函数，以满足各类人群营养摄入热量和各类食物质量为约束，建立线性规划模型，借助Lingo软件进行编程求解，分别给出学龄前儿童、高血压和糖尿病患者的最优营养配餐方案。通过调整此线性规划模型中的参数，也可以得出其他年龄人们或其他病型患者的饮食方案，这为营养配餐问题提供了科学依据。

Abstract: Nutritional catering is a practical work, which is closely related to people’s daily diet. How to make nutritional catering scientific and reasonable has always been a problem worth thinking about. Aiming at the problem of nutritional diet for preschool children, patients with hypertension and diabetes, taking the maximum calorie and minimum cost as the objective function, and taking meeting the nutritional intake calories and food quality of all kinds of people as constraints, a linear programming model is established, which is solved by programming with Lingo software, and the optimal nutritional diet schemes for preschool children, patients with hypertension and diabetes are given respectively. By adjusting the parameters in this linear programming model, we can also get the diet plan of people of other ages or patients with other disease types, which provides a sci-entific basis for the problem of nutritional diet.