**7. Conclusion**

In this work, we used well-known swarm algorithms to solve the optimal diet problem based on the optimization mathematical model proposed recently in [5]. The inputs of our model were estimated based on 176 Morocco foods. Based on different paper search and the WHO's recommendations, we have estimated the daily nutrients requirements [6]. Different experimentations were realized for different configurations of the considered algorithms. Concerning SFS algorithm, we solved the problem (D) for different values of walk probability (0.7\*), maximum diffusion (10\*), and number of iteration (600\*). Concerning FA algorithm, we solved the problem (D) for different values of attraction coefficient base value (2.25\*), iterations (300\*), mutation coefficient damping ratio (0.4\*), and variation of population (40\*). Concerning PSO, we solved the problem (D) for different values of Iterations (200\*), adjustment

weight (2\*), and population size (50\*). The best diets were produced by Firefly algorithm.

We can replicate that this entire investigation will consider further metrics of quality like satiety rate and feasibility of the examined diets.

In the future, we will propose a hybrid algorithm based on the SFS, FA, and PSO; this algorithm will be used to solve the diet problem and other well-known problems.
