使用整数规划的糖尿病患者饮食建议

Nurul Syafiqa Mohd Sapri, Maduri Ruchhi Bedi a, P. D. S. Bedi, Syariza Abdul-Rahman, Aida Mauziah Benjamin
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引用次数: 4

摘要

生活方式的快速变化,特别是快餐和方便食品的饮食习惯,通常富含钠和糖或碳水化合物,导致其他慢性疾病,特别是糖尿病患者。饮食习惯是糖尿病患者应注意的重要步骤之一,以避免其他并发症。糖尿病患者的饮食计划旨在平衡营养,以最小的成本控制体内血糖水平。本文旨在提供一种以最低成本满足糖尿病患者日常营养需求的食物组合菜单。建立了糖尿病饮食问题的整数规划模型,以确定满足两天标准每日营养需求的食物组合,并禁止重复菜单。本研究采用代餐法进行敏感性分析。研究发现,糖尿病患者两天的最佳菜单组合为49.10令吉。两天菜单计划的最佳解决方案满足糖尿病患者的标准营养需求。建议本研究结果可作为糖尿病患者自身或医院管理人员制定糖尿病患者膳食计划的指导。生活方式的快速变化,特别是快餐和方便食品的饮食习惯,通常富含钠和糖或碳水化合物,导致其他慢性疾病,特别是糖尿病患者。饮食习惯是糖尿病患者应注意的重要步骤之一,以避免其他并发症。糖尿病患者的饮食计划旨在平衡营养,以最小的成本控制体内血糖水平。本文旨在提供一种以最低成本满足糖尿病患者日常营养需求的食物组合菜单。建立了糖尿病饮食问题的整数规划模型,以确定满足两天标准每日营养需求的食物组合,并禁止重复菜单。本研究采用代餐法进行敏感性分析。结果发现,糖尿病患者两天的最佳菜单组合为RM49…
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A diet recommendation for diabetic patients using integer programming
The rapid changes of lifestyles especially eating habits of fast-food and convenience food which are usually rich in sodium and sugar or carbohydrate lead to other chronic diseases especially for diabetics. Diet practice is one of the very important steps that the diabetic patients can take care of in order to avoid to other complications. The diet planning of a diabetic patient aims to balance up the nutrients and to control the level of blood glucose in the body with minimal cost. This paper aims to provide a combination of food menu that satisfies the daily nutrient requirements of a diabetic person at a minimum cost. An integer programming model of a diabetic diet problem is developed to determine the food combination that satisfies the standard daily nutritional requirements for two days and repetition of menu is prohibited. In this study, a sensitivity analysis is performed by substituting meals. It is found that the best combination of menu for two days for a diabetic patient is at the cost of RM49.10. The optimal solution for the two days menu plan fulfils the standard nutritional requirements for diabetic patients. It is suggested that the findings can be used as a guideline for the diabetic patients themselves or for hospital management to suggest meal planning for diabetic patients.The rapid changes of lifestyles especially eating habits of fast-food and convenience food which are usually rich in sodium and sugar or carbohydrate lead to other chronic diseases especially for diabetics. Diet practice is one of the very important steps that the diabetic patients can take care of in order to avoid to other complications. The diet planning of a diabetic patient aims to balance up the nutrients and to control the level of blood glucose in the body with minimal cost. This paper aims to provide a combination of food menu that satisfies the daily nutrient requirements of a diabetic person at a minimum cost. An integer programming model of a diabetic diet problem is developed to determine the food combination that satisfies the standard daily nutritional requirements for two days and repetition of menu is prohibited. In this study, a sensitivity analysis is performed by substituting meals. It is found that the best combination of menu for two days for a diabetic patient is at the cost of RM49...
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