Using the Global Criterion Method to Solve Multi-Objective Diet Problem

Abstract

Healthy diets that help the body maintain its full health is an important matter in our daily lives. Perhaps one of the most important diets that most people need is a low-fat diet, which is important in reducing the risk of heart disease, as well as important in losing weight and other health problems that Most people encounter. Therefore, in this paper, we presented a new multi-objective mathematical model of finding the lowest cost and lowest fat percentage for 19-50 year old females using some low fat foods. Where, the multi-objective linear system was transformed into a non-linear system with a single objective function by using the global criterion method, and then the non-linear system was solved by using the augmented lagrangian method as a tool to find the results that provide the least cost with the least fat percentage.