Programação do horário escolar com várias localizações e preferências dos professores

Autores

DOI:

https://doi.org/10.22335/rlct.v11i1.621

Palavras-chave:

Gestão de horários, programação de horários de aulas para escolas, agendamento de preferências de professores, programação linear inteira

Resumo

Esta pesquisa aborda o problema da programação de horários escolares em Instituições Educacionais, com dois dias e múltiplos locais, que exigem o deslocamento de alguns professores entre eles. O problema é resolvido por todo um modelo de programação linear que minimiza a transferência de professores entre os locais. A metodologia proposta considerou dois tipos de restrições: obrigatória, pertencente ao arcabouço legal e institucional, e os requisitos do corpo docente, que não são rigorosamente cumpridos. O modelo foi validado e experimentos computacionais foram desenvolvidos em várias instâncias utilizando o Lingo 14. Além disso, para conhecer seu comportamento, foi realizada uma análise estrutural em dois cenários. Em todos os casos, foi obtido um mínimo de deslocamento do professor

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Biografia do Autor

  • Linda Lucía Esquivel Trujillo, Centro Colombiano de Estudios Profesionales

    Profesora Catedrática

  • Juan Pablo Orejuela Cabrera, Universidad del Valle

    Escuela de ingeniería industrial. Profesor tiempo completo

Referências

Ahmed, L., Özcan, E., & Kheiri, A. (2015). Solving high school timetabling problems worldwide using selection hyper-heuristics. Expert Systems with Applications, 42(13), 5463–5471. https://doi.org/10.1016/j.eswa.2015.02.059

Al-Yakoob, S., & Sherali, H. (2015). Mathematical models and algorithms for a high school timetabling problem. Computers {&} Operations Research, 61, 56–68. https://doi.org/10.1016/j.cor.2015.02.011

Babaei, H., Karimpour, J., & Hadidi, A. (2014). A Survey of Approaches for University Course Timetabling Problem. Computers & Industrial Engineering, 86, 43–59. https://doi.org/10.1016/j.cie.2014.11.010

Badoni, R., Gupta, D., & Mishra, P. (2014). A new hybrid algorithm for university course timetabling problem using events based on groupings of students. Computers & Industrial Engineering, 78, 12–25. https://doi.org/10.1016/j.cie.2014.09.020

Beligiannis, G., Moschopoulos, C., Kaperonis, G., & Likothanassis, S. (2008). Applying evolutionary computation to the school timetabling problem: The Greek case. Computers and Operations Research, 35(4), 1265–1280. https://doi.org/10.1016/j.cor.2006.08.010

Bellio, R., Ceschia, S., Di Gaspero, L., Schaerf, A., & Urli, T. (2016). Feature-based tuning of simulated annealing applied to the curriculum-based course timetabling problem. Computers and Operations Research, 65, 83–92. https://doi.org/10.1016/j.cor.2015.07.002

Brito, S., Fonseca, G., Toffolo, T., Santos, H., & Souza, M. (2012). A SA-VNS approach for the High School Timetabling Problem. Electronic Notes in Discrete Mathematics, 39, 169–176. https://doi.org/10.1016/j.endm.2012.10.023

Burke, E., Marecek, J., Parkes, A., & Rudová, H. (2012). A branch-and-cut procedure for the Udine Course Timetabling problem. Annals of Operations Research, 194(1), 71–87. https://doi.org/10.1007/s10479-010-0828-5

Ceschia, S., Di Gaspero, L., & Schaerf, A. (2012). Design, engineering, and experimental analysis of a simulated annealing approach to the post-enrolment course timetabling problem. Computers and Operations Research, 39(7), 1615–1624. https://doi.org/10.1016/j.cor.2011.09.014

Chávez, Ó., Pozos, P., & Gómez, J. (2014). Búsqueda Tabú con criterio de aspiración probabilístico aplicada a la generación de horarios escolares.

Cifuentes, J. (2012). Programación de estudiantes un caso de estudio (Universidad Central). CLAIO-SBPO, 1080–1091.

Crovo, A., Oliva, C., Martin, S., & Rojas, L. (2007). Modelos De Programacion Entera Para Un Problema De Models of Integer Programming for an University Timetabling Problem, 15, 245–259.

Del Barco, R. (2010). Formulación de un modelo de programación matemática para la asignación de horarios escolares. https://doi.org/10.1007/s13398-014-0173-7.2

Dorneles, Á., De Araújo, O., & Buriol, L. (2014). A fix-and-optimize heuristic for the high school timetabling problem. Computers and Operations Research, 52(PART A), 29–38. article. https://doi.org/10.1016/j.cor.2014.06.023

Enriquez, E., Tellez, E., & Enriquez, E. (2007). Uso de una Colonia de Hormigas para resolver Problemas de Programacion de Horarios. Laboratorio Nacional de informática avanzada A.C., Xalapa, México.

Gunawan, A., Ng, K., & Poh, K. (2012). A hybridized Lagrangian relaxation and simulated annealing method for the course timetabling problem. Computers and Operations Research, 39(12), 3074–3088. https://doi.org/10.1016/j.cor.2012.03.011

Hao, J., & Benlic, U. (2011). Lower bounds for the ITC-2007 curriculum-based course timetabling problem. European Journal of Operational Research, 212(3), 464–472. https://doi.org/10.1016/j.ejor.2011.02.019

Katsaragakis, I., Tassopoulos, I., & Beligiannis, G. (2015). A comparative study of modern heuristics on the school timetabling problem. Algorithms, 8(3), 723–742. https://doi.org/10.3390/a8030723

Kingston, J. (2012). Resource assignment in high school timetabling. Annals of Operations Research, 194(1), 241–254. https://doi.org/10.1007/s10479-010-0695-0

Lewis, R., & Thompson, J. (2014). Analysing the effects of solution space connectivity with an effective metaheuristic for the course timetabling problem. European Journal of Operational Research, 240(3), 637–648. https://doi.org/10.1016/j.ejor.2014.07.041

Mahiba, A., & Durai, C. (2012). Genetic algorithm with search bank strategies for university course timetabling problem. Procedia Engineering, 38, 253–263. https://doi.org/10.1016/j.proeng.2012.06.033

Méndez-Díaz, I., Zabala, P., & Miranda-Bront, J. (2016). An ILP based heuristic for a generalization of the post-enrollment course timetabling problem. Computers and Operations Research, 76, 195–207. https://doi.org/10.1016/j.cor.2016.06.018

MirHassani, S. (2006). Improving paper spread in examination timetables using integer programming. Applied Mathematics and Computation, 179(2), 702–706. https://doi.org/10.1016/j.amc.2005.11.125

Nurmi, K., & Kyngäs, J. (2007). A Framework for School Timetabling Problem. Mista, 386–393.

Papoutsis, K.;Valouxis C.; Housos, E. (2003). A Column Generation Approach for the Timetabling Problem of Greek High Schools, 54(3), 230–238.

Papoutsis, K., Valouxis, C., & Housos, E. (2003). A Column Generation Approach for the Timetabling Problem of Greek High Schools, 54(3), 230–238.

Pillay, N. (2014). A survey of school timetabling research. Ann Oper Res, (218), 261–293.

Pillay, N. (2014). A survey of school timetabling research. Annals of Operations Research, 218(1), 261–293. https://doi.org/10.1007/s10479-013-1321-8

Qu, R., He, F., & Burke, E. (2009). Hybridizing Integer Programming Models with an Adaptive Decomposition Approach for Exam Timetabling Problems, (August), 10–12.

República, S. D. La. (2001). Ley 715 de Diciembre 21 de 2001, 357(diciembre 21), 46.

Santos, H., Uchoa, E., Ochi, L., & Maculan, N. (2012). Strong bounds with cut and column generation for class-teacher timetabling. Annals of Operations Research, 194(1), 399–412. https://doi.org/10.1007/s10479-010-0709-y

Sarmiento, A. (2014). Estudio del problema de ruteo de vehículos con balance de carga : Aplicación de la meta-heurística Búsqueda Tabú .

Sarmiento, A., Torres, C., Quintero, C., & Montoya, J. (2012). Programación y asignación de horarios de clases universitarias: un enfoque de programación entera, July 23-27.

Skoullis, V., Tassopoulos, I., & Beligiannis, G. (2017). Solving the high school timetabling problem using a hybrid cat swarm optimization based algorithm. Applied Soft Computing Journal, 52, 277–289. https://doi.org/10.1016/j.asoc.2016.10.038

Soria-Alcaraz, J., Ochoa, G., Swan, J., Carpio, M., Puga, H., & Burke, E. (2014). Effective learning hyper-heuristics for the course timetabling problem. European Journal of Operational Research, 238(1), 77–86. https://doi.org/10.1016/j.ejor.2014.03.046

Veenstra, M., & Vis, I. (2016). School timetabling problem under disturbances. Computers and Industrial Engineering, 95, 175–186. https://doi.org/10.1016/j.cie.2016.02.011

Zhang, D., Liu, Y., M’Hallah, R., & Leung, S. (2010). A simulated annealing with a new neighborhood structure based algorithm for high school timetabling problems. European Journal of Operational Research, 203(3), 550–558. https://doi.org/10.1016/j.ejor.2009.09.014

Publicado

2019-01-01

Edição

Seção

Artigos de pesquisa / Artigos Originais

Como Citar

Programação do horário escolar com várias localizações e preferências dos professores. (2019). Revista Logos Ciencia & Tecnología, 11(1), 20-29. https://doi.org/10.22335/rlct.v11i1.621