A stack based approach for a time-slot scheduling

Developing a school timetable presents distinct challenges and limitations for each educational institution, with all schools aiming to produce a high-quality schedule. A conceptual framework for this issue allocates classes and instructors to specific time periods while preventing conflicts. Such a model can be resolved when the workload of teachers and classes fits within the allotted schedule. However, in practical situations with additional complexities, such as specific scheduling needs or requirements for consecutive time blocks, achieving an ideal timetable becomes extremely challenging, and some constraints may need to be loosened to find a feasible solution. Furthermore, while quality is desired in timetables, it is challenging to define or quantify. Scholars have investigated various methods to address timetabling problems, including graph coloring and constraint-based approaches. Emerging educational trends necessitate greater flexibility to accommodate special requirements and elective courses. This article examines simplifying the timetable for educational institutions at all levels. The paper identifies a gap in current solutions and proposes an effective alternative that offers slight improvements in terms of time and space complexity.