mathematical model for optimization of university courses timetabling applying the criteria of quality of instruction

Timetabling is one of the most difficult issues in the world; this is a combinatory optimization issue and it has been proven that it is a np-hard issue. university courses timetabling is very important especially for the exams and courses. the manual solving of the timetabling needs a broad domain of sources and time to create an applicable schedule with minimum interference in the curriculum and professor's program is not easy. different mathematical models and algorithms have been presented for this issue but each strategy considers different limitations according to its environment and factors. timetabling is different for different university courses timetabling. in this study a new multi objective mathematical model with new objective functions and new constrains has been presented for university courses timetabling. the present study tries to consider most restrictions for a training center. finally the validity of the proposed model has been surveyed by a small numerical example and its solving by lingo11 software shows that this model can satisfy all goals and limitations.