Evaluation and Optimal Design of a Balanced Diet

Zijian Chen, Manyang Cai, Yongshi Cao, Kemeng Zhang, Linchao Hu and Hongpeng Guo ()
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Zijian Chen: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Manyang Cai: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Yongshi Cao: School of Physics and Materials Science, Guangzhou University, Guangzhou 510006, China
Kemeng Zhang: College of Arts and Sciences, University of North Carolina at Chapel Hill, Chapel Hill, NC 27516, USA
Linchao Hu: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Hongpeng Guo: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Mathematics, 2024, vol. 12, issue 17, 1-15

Abstract: Malnutrition has led to growth retardation in many adolescents and health deterioration in adults all over the world. Recently, there has been increasing attention on balanced diets as a preventive measure. This study evaluates the daily diet of a student, aiming to optimize the amino acid score (AAS) across three meals per day. By using balanced diet criteria as constraints, we established a single-objective nonlinear programming model, maximizing AAS as the objective function. The model was solved by using a simulated annealing algorithm, and we obtained a diet that is both balanced and high in AAS. This study helps to raise awareness about individual nutritional needs and provides guidance for dietary structure improvements, thereby contributing to global public health enhancement.

Keywords: single-objective nonlinear programming model; simulated annealing algorithm; amino acid score; balanced diet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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