MODIFIED HUNGARIAN METHOD FOR LECTURER-TO-COURSE ASSIGNMENT: A MULTI-OBJECTIVE MATHEMATICAL PROGRAMMING MODEL FOR OPTIMIZING PREFERENCES AND COMPETENCY (PC MO-MHM)

Authors

  • Nur Syahirah Ibrahim Universiti Teknologi Mara (UiTM)
  • Adibah Shuib
  • Zati Aqmar Zaharudin

DOI:

https://doi.org/10.24191/mjoc.v10i2.5562

Keywords:

Competency, Lecturers-to-Courses Assignment, Mathematical Programming, Modified Hungarian Method, Preferences

Abstract

Efficient lecturer-to-course assignment is crucial for ensuring both faculty satisfaction and optimal teaching outcomes in higher education institutions. This study presents an advanced optimization model based on the Modified Hungarian Method (MHM) to address this challenge by integrating lecturers' preference levels and competency scores. While previous research has primarily focused on the traditional Hungarian Method (HM), limited attention has been given to its modified version. Moreover, the incorporation of preference-competency-based criteria in lecturer assignments is still lacking. To bridge these gaps, this study develops a mathematical programming approach to refine the MHM framework. The proposed model, called the Preference-Competency Multi-Objective MHM (PC MO-MHM), aims to achieve two key objectives: maximizing lecturers’ preferences and maximizing lecturers’ competencies. Competency is assessed across three elements: knowledge, skills, and teaching motivation. Data were gathered through an online survey involving Mathematics lecturers teaching undergraduate courses at the public university in Malaysia. By utilizing the collected data on preference levels and competency scores, the PC MO-MHM model was implemented using MATLAB’s intlinprog function to generate an optimized lecturer-to-course assignment plan, limiting each lecturer to a maximum of three courses. The findings highlight that the PC MO-MHM model effectively determines the most suitable course assignments based on lecturers’ preferences and competencies. The enhanced MHM framework provides a practical tool for optimizing course-teaching assignment planning. The model potentially not only improves teaching quality but also minimizes mismatches between lecturers and courses, fostering better academic outcomes and increased faculty satisfaction. Ultimately, this study contributes towards refining lecturers’ assignment processes, paving the way for more effective and efficient resource management in academia.

References

Ahmed, S. S., Mariga, U. N., Abdulmalik, S., Ango, I. S., & Umaru, S. (2022). The Use of Assignment Problem Models To Assign Teachers To Classes : A Case Study of Ado Bobi Primary School. Transactions of the Nigerian Association of Mathematical Physics, 18, 167–172.

Cua, K. A. S., Ong, A. A., A., & Magno, D. J. A. (2024). Mixed Integer Linear Programming Model for the Assignment and Scheduling of Healthcare Workers with the Consideration of Worker Skill Levels. MSIE '24: Proceedings of the 2024 6th International Conference on Management Science and Industrial Engineering, 39 – 45.

Elsisy, M. A., Elsaadany, A. S., & El Sayed, M. A. (2020). Using Interval Operations in the Hungarian Method to Solve the Fuzzy Assignment Problem and Its Application in the Rehabilitation Problem of Valuable Buildings in Egypt. Complexity, 2020, 1–11.

Ge, S., Cheng, M., He, X., & Zhou, X. (2020). A Two-Stage Service Migration Algorithm in Parked Vehicle Edge Computing for Internet of Things. Sensors, 20(10), 2786.

Hanafi, M. A. I, Syed Ali, S. A., Mat Jusoh, R, Ali, F., & Abd Rahman, N. (2024). Assignment Problem: A Case Study at Universiti Pertahanan Nasional Malaysia. JOIV: International Journal on Informatics Visualization, 8(2), 686-691.

Haroune, M., Dhib, C., Neron, E., Soukha, A., Mohamed Babou, H., & Nanne, M. F. (2023). Multi project scheduling problem under shared multi skill resource constraints. Transactions in Operations Research (TOP), 31, 194–235

Ibrahim, N. S., Shuib, A., & Zaharudin, Z. A. (2024). Modified Hungarian model for lecturer-to-course assignment. In AIP Conference Proceedings, 3086, 080001.

Kabiru, S., Saidu, B. M., Abdul, A. Z., & Ali, U. A. (2017). An Optimal Assignment Schedule of Staff-Subject Allocation. Journal of Mathematical Finance, 07(04), 805–820.

Kuhn, H. W. (1955). The Hungarian Method for the Assignment Problem. Naval Research Logistics Quarterly, 2(1–2), 83–97.

Latip, M. S. A., Newaz, F. T., & Ramasamy, R. (2020). Students’ Perception of Lecturers’

Competency and the Effect on Institution Loyalty: The Mediating Role of Students’ Satisfaction. Asian Journal of University Education, 16(2), 183.

Liu, Y., Liu, K., Han, J., Zhu, L., Xiao, Z., & Xia, X.-G. (2021). Resource Allocation and 3-D Placement for UAV-Enabled Energy-Efficient IoT Communications. IEEE Internet of Things Journal, 8(3), 1322–1333.

Mallick, C., Bhoi, S. K., Jena, K. K., Sahoo, K. S., Humayn, M., & Shahd, M. H. (2021). CLAPS: Course and Lecture Assignment Problem Solver for Educational Institution Using Hungarian Method. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(10), 3085–3092.

Mukherjee, P., & De, T. (2023). Interference aware D2D Multicasting using Modified Hungarian Method. 2023 OITS International Conference on Information Technology (OCIT), Ocit, 319–324.

Selamat, A. S., Othman, Z. S., & Mamat, S. S. (2025). Secondary school students' attitude and its effects on mathematics achievement. Malaysian Journal of Computing (MJoC), 10(1), 2001-2011.

Shuib, A., & Ibrahim, P. M. (2021). A Mixed Integer Goal Programming (MIGP) Model For Donated Blood Transportation Problem – A Preliminary Study. Malaysian Journal of Computing (MJOC), 6(2), 835-851.

Solaja, O., Abiodun, J., Ekpudu, J., Abioro, M., & Akinbola, O. (2020). Assignment problem and its application in Nigerian institutions: Hungarian method approach. International Journal of Applied Operational Research, 10(1), 1–9.

Udok, U. V., & Victor-Edema, U. A. (2023). Application of assignment problem in postgraduate course allocation at Ignatius Ajuru University of Education. Faculty of Natural and Applied Sciences Journal of Scientific Innovations, 5(1), 21–33.

Wattanasiripong, N., & Sangwaranatee, N. W. (2021). Program for Solving Assignment Problems and Its Application in Lecturer Resources Allocation. Journal of Physics: Conference Series, 2070(1), 012003.

Wei, K., Li, J., Ma, C., Ding, M., Chen, C., Jin, S., Han, Z., & Poor, H. V. (2022). Low-Latency Federated Learning Over Wireless. IEEE Journal on Selected Areas in Communications, 40(1), 290–307.

Zhang, L., Prorok, A., & Bhattacharya, S. (2021). Pursuer Assignment and Control Strategies in Multi-agent Pursuit-Evasion Under Uncertainties. Frontiers in Robotics and AI, 262.

Downloads

Published

2025-10-23

How to Cite

Ibrahim, N. S., Adibah Shuib, & Zati Aqmar Zaharudin. (2025). MODIFIED HUNGARIAN METHOD FOR LECTURER-TO-COURSE ASSIGNMENT: A MULTI-OBJECTIVE MATHEMATICAL PROGRAMMING MODEL FOR OPTIMIZING PREFERENCES AND COMPETENCY (PC MO-MHM). Malaysian Journal of Computing, 10(2), 2308–2321. https://doi.org/10.24191/mjoc.v10i2.5562