Pattern-Based Models and a Cooperative Parallel Metaheuristic for High School Timetabling Problems. Saviniec, L., Santos, M. O., Costa, A. M., & Santos, L. M. R. European Journal of Operational Research, 280:1064–1081, 2020.
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High school timetabling problems consist in building periodic timetables for class-teacher meetings considering compulsory and non-compulsory requirements. This family of problems has been widely studied since the 1950s, mostly via mixed-integer programming and metaheuristic techniques. However, the efficient search of optimal or near-optimal solutions is still a challenge for many problems of practical size. In this paper, we investigate mixed-integer programming formulations and a parallel metaheuristic based algorithm for solving high school timetabling problems with compactness and balancing requirements. We propose two pattern-based formulations and a solution algorithm that simultaneously exploits column generation and a team of metaheuristics to build and improve solutions. Extensive computational experiments conducted with real-world instances demonstrate that our formulations are competitive with the best existing high school timetabling formulations, while our parallel algorithm presents superior performance to alternative methods available in the literature.
@article{saviniec20patternbased,
  title = {Pattern-Based Models and a Cooperative Parallel Metaheuristic for High School Timetabling Problems},
  author = {Saviniec, L. and Santos, M. O. and Costa, A. M. and Santos, L. M. R.},
  year = {2020},
  journal = {European Journal of Operational Research},
  volume = {280},
  pages = {1064--1081},
  issn = {0377-2217},
  doi = {10.1016/j.ejor.2019.08.001},
  urldate = {2021-05-10},
  abstract = {High school timetabling problems consist in building periodic timetables for class-teacher meetings considering compulsory and non-compulsory requirements. This family of problems has been widely studied since the 1950s, mostly via mixed-integer programming and metaheuristic techniques. However, the efficient search of optimal or near-optimal solutions is still a challenge for many problems of practical size. In this paper, we investigate mixed-integer programming formulations and a parallel metaheuristic based algorithm for solving high school timetabling problems with compactness and balancing requirements. We propose two pattern-based formulations and a solution algorithm that simultaneously exploits column generation and a team of metaheuristics to build and improve solutions. Extensive computational experiments conducted with real-world instances demonstrate that our formulations are competitive with the best existing high school timetabling formulations, while our parallel algorithm presents superior performance to alternative methods available in the literature.},
  copyright = {All rights reserved},
  langid = {english},
  file = {/Users/acosta/Zotero/storage/95EEPJKH/Saviniec et al. - 2020 - Pattern-based models and a cooperative parallel me.pdf;/Users/acosta/Zotero/storage/PCFYJHMP/Saviniec et al. - 2020 - Pattern-based models and a cooperative parallel me.pdf}
}

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