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A proven optimal result for a benchmark instance of the uncapacitated examination timetabling problem

Angelos Dimitsas (), Christos Gogos (), Christos Valouxis (), Vasileios Nastos () and Panayiotis Alefragis ()
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Angelos Dimitsas: University of Ioannina
Christos Gogos: University of Ioannina
Christos Valouxis: University of Patras
Vasileios Nastos: University of Ioannina
Panayiotis Alefragis: University of Peloponnese

Journal of Scheduling, 2025, vol. 28, issue 2, No 3, 183-194

Abstract: Abstract Examination timetabling is a problem well known to the scheduling community. Its simplest version, which is the uncapacitated examination timetabling problem, is easily described and comprehended. Nevertheless, proof of optimality is notoriously difficult even for moderate size problems. In this paper, we describe the effort that our team exercised in finally proving the optimality of the sta83 instance of Carter’s dataset. The problem was decomposed naturally in three parts and for each part a different approach managed to prove optimality of the currently best known solution. This work also presents optimal solutions to subproblems that exist in various public datasets problems and two best known solutions of such problems.

Keywords: Examination timetabling; Mixed integer programming; Heuristics (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10951-024-00805-0

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