An Educational Institution timetable is a tentative schedule of a number of lectures and classrooms where all constraints are met. Creation of timetables is typical and time taking process. The automated computer timetable generator can save a lot of valuable time of administrators, especially who contribute their efforts for creating and managing course timetables. Every Educational Institutions are having their individual timetabling system, proprietary software, which are available in the market that may meet the needs of every Educational Institution. Therefore the authors have developed automated customized timetable generating system, which fits to any Educational Institution timetabling problem. They found a lot of problems with infinite solution space. And identifying a best optimum solution for the problem with a minimum or less performance cost is hard and difficult task. Genetic algorithm though gave a beautiful solution through its fitness evolution strategy and its principle 'the survival of the fittest', still it is costlier in performance due to its bulky iterative process and it also risks the local optima. Thus in this paper, PBIL Algorithm (Population Based Incremental Learning Algorithm) is applied to frame the best possible timetable with even load distribution taken as the optimality criteria.