Modularising school timetabling problems in different types of classes for Taiwanese elementary and junior high schools

Ping-Shun Chen, Wen-Tso Huang, Nai-Chun Peng and Gary Yu-Hsin Chen

International Journal of Mathematics in Operational Research, 2020, vol. 17, issue 1, 110-152

Abstract: School timetabling problems (STPs) stem from difficult decisions related to assigning teachers and class sessions to various class time slots, subject to different scheduling, event and resource constraints. This research focused on how to efficiently construct a mathematical model of the STP subject to more than 40 class combinations for Taiwanese elementary and junior high schools. Based on the investigation, this study adopted the concept of modularity to classify class constraints into five modules: fundamental constraint, regular program, special education program, gifted performing and visual arts program and talented athlete program. This research proposed the methodology to apply the modularity concept to construct a customised class combination affected by STPs. Using the numerical data shows that the corresponding school timetable could be generated based on the customised class combination of the STPs. In addition, the scenarios with an objective function or with an infeasible solution were analysed and discussed. Finally, a framework of the automated school timetabling system based on the modularity concept was presented for future school timetabling system development.

Keywords: educational timetabling problem; high school timetable; multiple class types; modularity; school timetabling problem; STP; integer programming. (search for similar items in EconPapers)
Date: 2020
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