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Doctoral Thesis
DOI
10.11606/T.55.2018.tde-05022018-112623
Document
Author
Full name
Landir Saviniec
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2017
Supervisor
Committee
Santos, Maristela Oliveira dos (President)
Delbem, Alexandre Cláudio Botazzo
Nascimento, Mariá Cristina Vasconcelos
Santos, Haroldo Gambini
Santos, Lana Mara Rodrigues dos
Title in English
Models and algorithms for high school timetabling problems
Keywords in English
Column generation
High school timetabling problem
Mixed-integer programming
Parallel metaheuristics
Abstract in English
High school timetabling problems consist in assigning meetings between classes and teachers, with the goal of minimizing the violation of specific soft requisites. This category of problems has been extensively studied since the 1950s, mostly via mixed-integer programming and metaheuristic techniques. However, the computation of optimal or near-optimal solutions using mixed-integer programs or metaheuristics is still a challenge for most practical problems. In this thesis, we investigate new mixed-integer programming formulations, column generation approaches and parallel metaheuristic based algorithms to compute lower bounds and solutions for high school timetabling problems. Extensive computational experiments conducted with real-world instances demonstrate that our best formulations are competitive with best-known formulations, while our parallel algorithms present superior performance than the state-of-the-art methods.
Title in Portuguese
Modelos e algoritmos para problemas de horários escolares
Keywords in Portuguese
Geração de colunas
Metaheurísticas paralelas
Problema de horários escolares
Programação linear inteira mista
Abstract in Portuguese
Problemas de horários escolares consistem em alocar encontros entre turmas e professores, com objetivo de minimizar violações a requisitos qualitativos específicos. Esta categoria de problemas tem sido largamente estudada desde 1950, particularmente via técnicas de programação linear inteira mista e metaheurísticas. Entretanto, a computação de soluções ótimas ou quase ótimas usando programas inteiro-mistos ou metaheurísticas ainda é um desafio na maioria dos problemas práticos. Nesta tese, nós investigamos novas formulações inteiro-mistas, decomposições por geração de colunas e algoritmos baseados em metaheurísticas paralelas para computar limitantes inferiores e soluções para problemas de horários escolares. Extensivos experimentos computacionais conduzidos com instâncias reais demonstram que nossas melhores formulações são competitivas com as melhores formulações existentes, enquanto nossos algoritmos paralelos são superiores em performance computacional quando comparados com métodos que são estado-da-arte.
 
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Publishing Date
2018-02-05
 
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