Optimasi Penempatan Guru Menggunakan Ant Colony Optimization
DOI:
https://doi.org/10.63822/yg22jy90Keywords:
Ant Colony Optimization, Teacher Placement, Combinatorial Optimization, Haversine Formula, Ant System, Magelang Regency.Abstract
Uneven distribution and assignment of public elementary school teachers in Magelang Regency lead to long daily commute distances from teachers' residences to schools. This condition negatively affects teachers' physical condition, psychological fatigue, and teaching effectiveness. This study aims to optimize the assignment of public elementary school teachers in Magelang Regency by minimizing the total daily commute distance using the Ant Colony Optimization (ACO) algorithm, specifically the Ant System variant with an ant-cycle pheromone update scheme. The dataset comprises 636 teachers and 106 public elementary schools (6 teachers assigned per school) with 67,416 distance pairs calculated using the Haversine formula based on geographic coordinates. Parameter tuning shows that α = 4, β = 5, and evaporation rate ρ = 0.1 yield the most consistent optimal search performance. In the ant quantity (M) and iteration tests, M = 50 with 1,000 iterations produced the shortest average total distance of 4,304.874 km with an execution time of 763 seconds. Meanwhile, M = 30 with 1,000 iterations provided high computational efficiency with an average total distance of 4,305.688 km and execution time of 460 seconds (~39.7% faster). This study demonstrates that ACO is effective in solving large-scale teacher assignment optimization problems and serves as a decision-support framework for local education authorities.
References
1] H. Zhao, X. Zhang, and Y. Liu, "Spatial optimization of educational resources allocation using metaheuristic algorithms," Journal of Geographical Systems, vol. 22, no. 3, pp. 315–334, 2020.
[2] A. Rahmad and D. Kurniawan, "Optimizing teacher distribution using metaheuristic algorithms to support equitable education," Journal of Information Technology and Computer Science, vol. 9, no. 1, pp. 12–25, 2024.
[3] E. Prasetyo and A. B. Utomo, "Combinatorial optimization for teacher placement in public schools using Genetic Algorithms," Journal of Computer Science and Engineering, vol. 15, no. 2, pp. 89–98, 2021.
[4] S. Chopra and P. Meindl, Supply Chain Management: Strategy, Planning, and Operation, 7th ed. Boston: Pearson, 2016.
[5] M. Aminu and S. Hassan, "Comparative evaluation of metaheuristic strategies for large-scale combinatorial scheduling and placement," Journal of Industrial Information Integration, vol. 37, p. 100550, 2025.
[6] C. Blum, "Ant colony optimization: Introduction and recent trends," Physics of Life Reviews, vol. 2, no. 4, pp. 353–373, 2005.
[7] J. Martinez and C. Gomez, "Scalability and trade-off analysis of Ant Colony Optimization for massive assignment problems," Computers & Operations Research, vol. 161, p. 106420, 2024.
[8] Y. Wang and L. Chen, "A hybrid Ant Colony Optimization algorithm for complex personnel assignment problems," Applied Soft Computing, vol. 108, p. 107432, 2021.
[9] R. Kumar and S. Singh, "Metaheuristic approaches for personnel assignment problem: A systematic review and comparative study," Swarm and Evolutionary Computation, vol. 78, p. 101280, 2023.
[10] H. Al-Sultani and S. Al-Janabi, "Performance analysis of Ant Colony Optimization in large-scale combinatorial assignment problems," Expert Systems with Applications, vol. 195, p. 116580, 2022.
[11] M. Dorigo and T. Stützle, Ant Colony Optimization. Cambridge, MA: MIT Press, 2004.
[12] M. Dorigo, V. Maniezzo, and A. Colorni, "Ant system: Optimization by a colony of cooperating agents," IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), vol. 26, no. 1, pp. 29–41, 1996.
[13] A. Georgara, R. Kazhamiakin, and J. A. Rodriguez-Aguilar, "AI-driven matching and resource allocation in educational environments," Applied Intelligence, vol. 53, no. 20, pp. 24157–24186, 2023.
[14] D. P. Sari and B. Setiawan, "Geographic Information System and Haversine formula for spatial distance optimization in public services," Indonesian Journal of Computing and Cybernetics Systems, vol. 16, no. 1, pp. 45–56, 2022.
[15] R. W. Sinnott, "Virtues of the Haversine," Sky and Telescope, vol. 68, no. 2, p. 158, 1984.
[16] I. B. K. P. Arimbawa, I. G. A. Novitasari, and P. N. A. P. Brilliance, "Application of Ant Colony Optimization on CVRP for route optimization," Brilliance: Research of Artificial Intelligence, vol. 5, no. 2, pp. 110–121, 2025.
[17] T. O. Olwal and M. K. Joseph, "Spatial analysis and Haversine distance modeling for resource distribution," Geo-spatial Information Science, vol. 26, no. 4, pp. 512–525, 2023.
[18] X. Liu, X. Qu, and X. Ma, "Optimizing resource allocation and routing under seasonal demand variations," Transportation Research Part D: Transport and Environment, vol. 100, p. 103057, 2021.
[19] B. Zhang, H. Sun, and L. Tan, "Parameter tuning and convergence behaviors of swarm intelligence algorithms," Swarm and Evolutionary Computation, vol. 72, p. 101090, 2022.
[20] M. S. Farooq and A. Khan, "Evaluating evaporation rate control in ACO variants for complex optimization," Journal of King Saud University - Computer and Information Sciences, vol. 34, no. 8, pp. 5890–5902, 2022.
[21] P. K. Rhee and S. H. Park, "Comparative performance of metaheuristics in public personnel allocation," Computers & Industrial Engineering, vol. 171, p. 108410, 2022.
[22] F. Silva and A. C. B. Delbem, "A multi-objective evolutionary approach to school network organization," IEEE Access, vol. 10, pp. 45120–45135, 2022.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Fransiskus Ricky Hendarto, Haris Sriwindono (Author)

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.




