Basically all we have to do is build a schedule for the professors and students. The thing is there are several things that should be considered.

Things that should be considered

[0,n] students choose their preferences is probable graduate wants n electives [0,n] required disciplines [0,n] elective disciplines and their weights [0,n] professors choose their preferences [0,n] disciplines he can lecture and the amount of students per class [0,n] disciplines he is willing to lecture and the amount of students per class semesters he is not capable to lecture periods he does not want to lecture [0,n] courses should have their restrictions [0,n] required disciplines must be taught. [0,n] semesters of required disciplines must be feasable Disciplines cannot colide with disciplines on the same semester unless there is another one that doesn't.