APPLICATION OF OPTIMIZATION PRINCIPLESIN CLASSROOM ALLOCATION USING LINEARPROGRAMMING
2019
This paper deal with the application of optimization principle in solving the problem
of over-allocation and under-allocation of the classroom space using linear programming
in Landmark University, Nigeria. A linear programming model was formulated based on
the data obtained from the examination and lecture timetable committee on the classroom
facilities, capacities and the number of students per programme in all the three (3)
Colleges to maximize the usage of the available classroom space and minimizes the
congestion and overcrowding in a particular lecture room using AMPL software which
revealed that 16 out of 32 classrooms available with a seating capacity of 2066 has
always been used to accommodate the current student population of 2522 which always
causes overflow and congestion in those concentrated classroom because the remaining
16 classroom of the seating capacity of 805 were underutilized. Meanwhile if the
projected seating capacity of 3544 as revealed by the AMPL software in all these 32
classroom were fully utilized, this indicated that an additional 1022 i.e.(3544-2522)
students can be fully absorbed comfortably with the existing 32 classrooms in both of the
three (3) colleges if the seating capacities are fully managed and maximized. This will
helps the school management to generate additional income of N 585,606,000.00 i.e.
(1022 × 573,000) as school fees using the same classroom facility and as well as the
existing seating capacity.
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