A Multi-objective Approach for the Menu Planning Problem: A Brazilian Case Study

Rafaela P.C. Moreira*, Carolina G. Marcelino, Flávio V.C. Martins, Elizabeth F. Wanner, Silvia Jimenez-Fernandez, Sancho Salcedo-Sanz

*Corresponding author for this work

Research output: Chapter in Book/Published conference outputConference publication

Abstract

In this paper, we propose a multi-objective formulation for solving the menu planning problem, in a Brazilian school context. Considering the school category, the student age group, and the school duration time, we propose a formulation of the problem in which the total cost and the nutritional error according to the Brazilian reference are simultaneously minimized. The menus must also meet some qualitative requirements, such as variety and harmony of preparations. We propose a NSGA-II for solving the problem. As a comparison, we use a weighted-sum approach for transforming the multi-objective problem into a mono-objective one and solve it using a generic Genetic Algorithm. Using as test scenario full-time preschool students (4-5 years old), 5-day menus are obtained by both methodologies. The menus are qualitatively and quantitatively assessed applying the Quality Index of Nutritional Food Safety Coordination (IQ COSAN, acronym in Portuguese) and compared to a 5-day menu for a Brazilian school. Results show the methodology is very promising and the obtained menus are adequate.

Original languageEnglish
Title of host publicationOptimization, Learning Algorithms and Applications - Second International Conference, OL2A 2022, Proceedings
EditorsAna I. Pereira, Andrej Košir, Florbela P. Fernandes, Maria F. Pacheco, João P. Teixeira, Rui P. Lopes
PublisherSpringer
Pages275-290
ISBN (Electronic)9783031232367
ISBN (Print)9783031232350
DOIs
Publication statusPublished - 1 Jan 2023
Event2nd International Conference on Optimization, Learning Algorithms and Applications, OL2A 2022 - Braganca, Portugal
Duration: 24 Oct 202225 Oct 2022

Publication series

NameCommunications in Computer and Information Science
Volume1754 CCIS
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Conference

Conference2nd International Conference on Optimization, Learning Algorithms and Applications, OL2A 2022
Country/TerritoryPortugal
CityBraganca
Period24/10/2225/10/22

Keywords

  • Evolutionary algorithms
  • Menu planning problem
  • Multi-objective optimization

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