Metaheuristics Optimization Algorithm to an Optimal Moroccan Diet

Abstract

In this work, we propose a well-balanced diet basing on very simple quadratic optimization model which controls the lack of favorable nutrients, the excess of unfavorable nutrients, and which minimizes the total glycemic load of the diet. To solve the proposed mathematical model, we call well-known metaheuristic methods: genetic algorithm, firly algorithm, particle swarm algorithm, stochastic fractal search, and moth swarm algorithm with specific operators. The parameters of these algorithms are experimentally chosen. These algorithms have been tested on 176 foods available on the Moroccan market. Firly has shown its superiority over other methods in its ability to quickly design a well-balanced diet with an acceptable glycemic load.