Asian Journal of Applied Education
Vol. 5 No. 3 (2026): July 2026

Weighted Goal Programming Model for Course Scheduling Optimization: A Case Study at Computer Science Study Program

Yessy Hans Aprilia Manurung (HKBP Nommensen Pematangsiantar University)
Juli Antasari Br Sinaga (HKBP Nommensen Pematangsiantar University)
Yoel Octobe Purba (HKBP Nommensen Pematangsiantar University)
Rajainal Saragih (Politeknik Bisnis Indonesia)



Article Info

Publish Date
14 Jul 2026

Abstract

Course scheduling is a complex combinatorial optimization problem frequently constrained by limited physical resources and time availability. This study formulates a mathematical model to optimize the Even Semester course schedule at the Computer Science Study Program, HKBP Nommensen Pematangsiantar University, which operates under critical infrastructure constraints: five regular classrooms and one computer laboratory. The Weighted Goal Programming (WGP) method with a binary Mixed Integer Linear Programming (MILP) approach was implemented using Python software. The model integrates hard constraints to guarantee a conflict-free schedule for both rooms and lecturers, and accommodates soft constraints through hierarchical priority weighting. Priority goals include optimizing laboratory allocation for practicum courses, equalizing lecturers' teaching workloads to prevent burnout, and minimizing late-evening class sessions. Computational results confirm that the model achieved convergence to a Global Optimal Solution with an objective function value of 19. The WGP model successfully eliminated all scheduling conflicts (zero conflict) and compressed the physical facility requirement from 13 rooms in the manual schedule to only five regular classrooms and one computer laboratory. Furthermore, the proportion of evening classes was significantly reduced, resulting in a more efficient, equitable, and operationally applicable course schedule.

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Journal Info

Abbrev

ajae

Publisher

Subject

Education Mathematics Other

Description

Asian Journal of Applied Education (AJAE) is a scholarly, peer-reviewed journal published by Formosa Publisher that provides a platform for unpublished articles on contemporary educational issues. It encourages debate, both theoretical and practical, on a wide range of topics representing various ...