Título: | A MIP-BASED APPROACH TO SOLVE A REAL-WORLD SCHOOL TIMETABLING PROBLEM | ||||||||||||
Autor: |
NARA TORRES MOREIRA |
||||||||||||
Colaborador(es): |
MARCUS VINICIUS SOLEDADE POGGI DE ARAGAO - Orientador |
||||||||||||
Catalogação: | 29/JUL/2016 | Língua(s): | ENGLISH - UNITED STATES |
||||||||||
Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
||||||||||||
Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=27073&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=27073&idi=2 |
||||||||||||
DOI: | https://doi.org/10.17771/PUCRio.acad.27073 | ||||||||||||
Resumo: | |||||||||||||
Timetabling problems look to schedule meetings in order to satisfy
a set of demands, while respecting additional constraints. In a good
solution the resulting timetables are acceptable to all people and resources
involved. In school timetabling, a given number of lectures, involving
students, teachers and classrooms, need to be scheduled over the week,
while having to satisfy operational, institutional, pedagogical and personal
restrictions. The difficulty of the problem has driven many researchers
to work on solving approaches for it since the early 1960 s. Finding an
actual solution to a real world scenario implies satisfying many quality
requirements and not ignoring the political issues, which turns the classical
problem much more intricate. This work describes an approach based on
mixed integer programming (MIP) developed for solving a real-world school
timetabling problem and discusses ideas and issues faced during solution
deployment phase for some Brazilian schools. In contrast to other works on
school timetabling, teaching staff sharing between distinct school units are
considered. Computational experiments were performed for scenarios whose
number of school units varies from 2 to 15, number of teachers varies from
35 to 471 and number of classes varies from 16 to 295. Different strategies
were combined aiming at converging to good solutions. Finally, results are
evaluated and the best approaches are highlighted.
|
|||||||||||||
|