A multi‐objective optimisation model for university course timetabling problem using a mixed integer dynamic non‐linear programming

This paper proposes a multi‐objective integer programming formulation to solve course timetabling problem at universities. The most important objective in the proposed model is the collegians interferences. In other words, the student utility to take a course and the professor utility to present a course are combined simultaneously in objective function. Based on this definition, several time constraints are added. In this model, it is assumed that there are only courses with two and three units. At first it is supposed that each course can be presented in one group and thus the problem is solved by GAMS. Then, the number of course groups is devolved to the software by fitting the objective function value on a predetermined one. Computational results show that the best value for each courses group will be one group.