Diet planning for diabetic patients using mixed integer linear programming

Diabetic diet is an important treatment procedure for diabetic patients. Necessary nutritions should be consumed in proper sizes for a long-life health. In this study a mathematical model has been constructed for diabetic menu planning. Literature about menu planning showed that there is infancy in diabetic menu planning, current studies do not deal with carbohydrate consumption, which is an essential factor for diabetic patients. According to the findings from nutrition treatment recommendations, a mathematical model has been constructed with an objective function that minimizes the total carbohydrate consumption. In this study, it was planned to create a menu with integer programming model and a wide variety of menus were presented to diabetic patients. The model was written separately as 2, 3 and 5-day menus in the GAMS optimization program, and at the last stage, 28-day menus were obtained by solving each of them. This study can be assumed as a preliminary work of the diabetic menu planning with the aim of solving the problem via completing the necessary nutritions parameters.