Abstract
The classical diet problem seeks a diet that respects the indicated nutritional restrictions at a person with the minimal cost. This work presents a variation of this problem, that aims to minimize the number of ingested calories, instead of the financial cost. It aims to generate tasty and hypocaloric diets that also respect the indicated nutritional restrictions. In order to obtain a good diet, this work proposes a Mixed Integer Linear Programming formulation and a Differential Evolution algorithm that solves the proposed formulation. Computational experiments show that it is possible to obtain tasty diets constrained in the number of calories that respect the nutritional restrictions of a person.
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Acknowledgments
This work was partially supported by the Brazilian National Council for Scientific and Technological Development (CNPq), the Foundation for Support of Research of the State of Minas Gerais, Brazil (FAPEMIG), and Coordination for the Improvement of Higher Education Personnel, Brazil (CAPES).
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Silva, J.G.R., Carvalho, I.A., Loureiro, M.M.S., da Fonseca Vieira, V., Xavier, C.R. (2016). Developing Tasty Calorie Restricted Diets Using a Differential Evolution Algorithm. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2016. ICCSA 2016. Lecture Notes in Computer Science(), vol 9790. Springer, Cham. https://doi.org/10.1007/978-3-319-42092-9_14
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