A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Sistemas & Gestão |
Texto Completo: | https://www.revistasg.uff.br/sg/article/view/V7N3A3 |
Resumo: | This work proposes an hybrid GRASP metaheuristic using, in the local search phase, the VND technique to solve the timetabling problem. It is considered to review data of Escola Agrotécnica Federal of Alegre-ES-Brazil in the years of 2006 and 2007 and other instances generated at this work for testing, for scheduling two rounds of education high school. The method proposed intends to satisfy the restrictions of timetable of the institution, such as: to meet teachers on the amount of days that their classes are distributed within hours of its availability; to minimize the number of consecutive classes in the same discipline; to prevent the occurrence of teaching vacancies; to minimize the occurrence of “windows” at the timetable of the teacher; to avoid overlapping of classes from the same teacher; to avoid that exists a classroom lecture with the same time with more than one teacher and other restrictions that bring quality to the timetable. The computational results demonstrated the feasibility of its use generates timetable that serve all restrictions of feasibility and a percentage above 85% for restrictions of quality of the solution. |
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A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEMA GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEMUma Heurística GRASP+VND para o Problema de Programação de Horário EscolarMetaheuristicsGRASPVNDSchool timetabling problemMetaheuristicsGRASPVNDSchool timetabling problemMetaheurísticaGRASPVNDProblema de Horário EscolarThis work proposes an hybrid GRASP metaheuristic using, in the local search phase, the VND technique to solve the timetabling problem. It is considered to review data of Escola Agrotécnica Federal of Alegre-ES-Brazil in the years of 2006 and 2007 and other instances generated at this work for testing, for scheduling two rounds of education high school. The method proposed intends to satisfy the restrictions of timetable of the institution, such as: to meet teachers on the amount of days that their classes are distributed within hours of its availability; to minimize the number of consecutive classes in the same discipline; to prevent the occurrence of teaching vacancies; to minimize the occurrence of “windows” at the timetable of the teacher; to avoid overlapping of classes from the same teacher; to avoid that exists a classroom lecture with the same time with more than one teacher and other restrictions that bring quality to the timetable. The computational results demonstrated the feasibility of its use generates timetable that serve all restrictions of feasibility and a percentage above 85% for restrictions of quality of the solution.This work proposes an hybrid GRASP metaheuristic using, in the local search phase, the VND technique to solve the timetabling problem. It is considered to review data of Escola Agrotécnica Federal of Alegre-ES-Brazil in the years of 2006 and 2007 and other instances generated at this work for testing, for scheduling two rounds of education high school. The method proposed intends to satisfy the restrictions of timetable of the institution, such as: to meet teachers on the amount of days that their classes are distributed within hours of its availability; to minimize the number of consecutive classes in the same discipline; to prevent the occurrence of teaching vacancies; to minimize the occurrence of “windows” at the timetable of the teacher; to avoid overlapping of classes from the same teacher; to avoid that exists a classroom lecture with the same time with more than one teacher and other restrictions that bring quality to the timetable. The computational results demonstrated the feasibility of its use generates timetable that serve all restrictions of feasibility and a percentage above 85% for restrictions of quality of the solution. Este trabalho propõe uma heurística GRASP que utiliza, na etapa de busca local, a técnica VND para solucionar o Problema de Horário Escolar. Consideraram-se, para programação de dois turnos do ensino médio, os dados da Escola Agrotécnica Federal de Alegre (ES, Brasil) nos anos de 2006 e 2007 e outras instâncias geradas neste trabalho para testes. O método proposto tem como objetivo satisfazer as restrições de formação do horário da instituição, tais como: satisfazer aos professores quanto à quantidade de dias em que suas aulas são distribuídas e respeitar seus horários de indisponibilidade; minimizar o número de aulas consecutivas da mesma disciplina; evitar a ocorrência de aulas vagas; evitar a sobreposição de aulas de um mesmo professor; minimizar a ocorrência de “janelas” no horário do professor; evitar que uma turma esteja com aula no mesmo horário com mais de um professor e outras restrições que trazem qualidade ao horário definido. Os resultados computacionais obtidos demonstraram a viabilidade de sua utilização gerando horários que atendem a todas as restrições de viabilidade e um percentual acima de 85% para as restrições de qualidade da solução.ABEC2012-11-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://www.revistasg.uff.br/sg/article/view/V7N3A310.7177/sg.2012.V7.N3.A3Sistemas & Gestão; v. 7 n. 3 (2012): Setembro/2012; 326-3351980-516010.7177/sg.2012.v7.n3reponame:Sistemas & Gestãoinstname:Universidade Federal Fluminense (UFF)instacron:UFFporhttps://www.revistasg.uff.br/sg/article/view/V7N3A3/172https://www.revistasg.uff.br/sg/article/view/V7N3A3/V7N3A3Copyright (c) 2015 Sistemas & Gestãoinfo:eu-repo/semantics/openAccessDe Oliveira, Janio GloriaVianna, Dalessandro SoaresVianna, Marcilene de Fátima Dianin2023-01-09T18:18:56Zoai:ojs.www.revistasg.uff.br:article/118Revistahttps://www.revistasg.uff.br/sgPUBhttps://www.revistasg.uff.br/sg/oai||sg.revista@gmail.com|| periodicos@proppi.uff.br1980-51601980-5160opendoar:2023-01-09T18:18:56Sistemas & Gestão - Universidade Federal Fluminense (UFF)false |
dc.title.none.fl_str_mv |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM Uma Heurística GRASP+VND para o Problema de Programação de Horário Escolar |
title |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM |
spellingShingle |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM De Oliveira, Janio Gloria Metaheuristics GRASP VND School timetabling problem Metaheuristics GRASP VND School timetabling problem Metaheurística GRASP VND Problema de Horário Escolar |
title_short |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM |
title_full |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM |
title_fullStr |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM |
title_full_unstemmed |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM |
title_sort |
A GRASP+VND HEURISTIC FOR THE SCHOOL TIMETABLING PROBLEM |
author |
De Oliveira, Janio Gloria |
author_facet |
De Oliveira, Janio Gloria Vianna, Dalessandro Soares Vianna, Marcilene de Fátima Dianin |
author_role |
author |
author2 |
Vianna, Dalessandro Soares Vianna, Marcilene de Fátima Dianin |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
De Oliveira, Janio Gloria Vianna, Dalessandro Soares Vianna, Marcilene de Fátima Dianin |
dc.subject.por.fl_str_mv |
Metaheuristics GRASP VND School timetabling problem Metaheuristics GRASP VND School timetabling problem Metaheurística GRASP VND Problema de Horário Escolar |
topic |
Metaheuristics GRASP VND School timetabling problem Metaheuristics GRASP VND School timetabling problem Metaheurística GRASP VND Problema de Horário Escolar |
description |
This work proposes an hybrid GRASP metaheuristic using, in the local search phase, the VND technique to solve the timetabling problem. It is considered to review data of Escola Agrotécnica Federal of Alegre-ES-Brazil in the years of 2006 and 2007 and other instances generated at this work for testing, for scheduling two rounds of education high school. The method proposed intends to satisfy the restrictions of timetable of the institution, such as: to meet teachers on the amount of days that their classes are distributed within hours of its availability; to minimize the number of consecutive classes in the same discipline; to prevent the occurrence of teaching vacancies; to minimize the occurrence of “windows” at the timetable of the teacher; to avoid overlapping of classes from the same teacher; to avoid that exists a classroom lecture with the same time with more than one teacher and other restrictions that bring quality to the timetable. The computational results demonstrated the feasibility of its use generates timetable that serve all restrictions of feasibility and a percentage above 85% for restrictions of quality of the solution. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-11-15 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://www.revistasg.uff.br/sg/article/view/V7N3A3 10.7177/sg.2012.V7.N3.A3 |
url |
https://www.revistasg.uff.br/sg/article/view/V7N3A3 |
identifier_str_mv |
10.7177/sg.2012.V7.N3.A3 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
https://www.revistasg.uff.br/sg/article/view/V7N3A3/172 https://www.revistasg.uff.br/sg/article/view/V7N3A3/V7N3A3 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2015 Sistemas & Gestão info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2015 Sistemas & Gestão |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
ABEC |
publisher.none.fl_str_mv |
ABEC |
dc.source.none.fl_str_mv |
Sistemas & Gestão; v. 7 n. 3 (2012): Setembro/2012; 326-335 1980-5160 10.7177/sg.2012.v7.n3 reponame:Sistemas & Gestão instname:Universidade Federal Fluminense (UFF) instacron:UFF |
instname_str |
Universidade Federal Fluminense (UFF) |
instacron_str |
UFF |
institution |
UFF |
reponame_str |
Sistemas & Gestão |
collection |
Sistemas & Gestão |
repository.name.fl_str_mv |
Sistemas & Gestão - Universidade Federal Fluminense (UFF) |
repository.mail.fl_str_mv |
||sg.revista@gmail.com|| periodicos@proppi.uff.br |
_version_ |
1798320142722007040 |