Mathematical modelling approach for exam timetabling

Abstract

Exam timetabling problems is one of the most popular problems in academic environment. These schedules can sometimes be done manually, so students might face lots of problems such as; having more than one exam in the same time slot or in the same day. In this research, exam timetabling problem is tried to be solved considering the demands of both lecturers and students. For exam timetabling problems, a new mathematical model is generated. However, this mathematical model can not solve large size problems in a short time, so a new heuristic method based on the mathematical model is constructed. In this research, Xpress-MP software which is one of the most popular programmes in optimization is used. Moreover, the heuristic method is applied to Fatih University dataset.

Keywords

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Sınav çizelgelemesi için matematiksel model yaklaşımı

Öz

Sınav çizelgeleme problemi akademik ortamlarda karşılaşılan en popüler problemlerden biridir. Bu çizelgelemeler elle yapılabilmekte, dolayısıyla öğ- rencinin aynı zamanda veya aynı günde iki veya daha fazla sınavı olması gibi çeşitli problemler ortaya çıkabilmektedir. Bununla birlikte sınıfların kapasitesi, gözetmen sayısı gibi kısıtlardan da bahsedilebilir. Bu çalışmada öğretim üye- lerinin ve öğrencilerin istekleri göz önünde bulundurularak sınav çizelgeleme problemi çözülmeye çalışılmıştır. Bu probleme çözüm üretmek için yeni bir matematiksel model oluşturulmuştur. Bu matematiksel model büyük verilere sahip problemleri kısa zamanda çözemediği için matematiksel modellemeye dayalı yeni sezgisel yöntem geliştirilmiştir. Bu araştırmada Xpress-MP adlı ya- zılım kullanılmış ve geliştirilen sezgisel yöntem Fatih Üniversitesi verilerine uy- gulanmıştır.

Anahtar Kelimeler

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Kaynakça

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