A study of subject allocation to faculties in colleges as a quadratic assignment problem
J. Vijayarangamjvijayarangam75@gmail.comDepartment of MathematicsSriperumbudurSri Venkateswara College of EngineeringChennai, Tamil Nadu, 602117, IndiaView full profile → , Sreelakshmi Subbarayansreelakshmi_maths@sirmvit.eduDepartment of MathematicsKrishnadevaraya Nagar, Hunasamaranahalli, International Airport RoadSir M. Visvesvaraya Institute of TechnologyBangalore, Karnataka, 562157, IndiaView full profile → , *J. ViswanathCorresponding authormathsviswa@gmail.comDepartment of MathematicsAvadiVel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and TechnologyChennai, Tamil Nadu, 600062, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Nov 2025
- Published Online:
- 28 May 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-2169
- Pages:
- 2381–2390
Abstract
Keywords
Subject Classifications
References
[1] J. Kou, “Estimating the number of clusters via the GUD statistic,” J. Comput. Graph. Statist., vol. 23, no. 2, pp. 403–417 (Jun. 2014), doi: 10.1080/10618600.2013.778778.
[2] T. C. Koopmans and M. Beckmann, “Assignment problems and the location of economic activities,” Econometrica, vol. 25, no. 1, pp. 53–76 (Jan. 1957).
[3] G. B. Dantzig, “Application of the simplex method to the transportation problem,” in Activity Analysis of Production and Allocation, T. C. Koopmans, Ed. New York: Wiley, pp. 358–373 (1951).
[4] G. B. Dantzig, R. Fulkerson, and S. M. Johnson, “Solution of a large-scale traveling-salesman problem,” Journal of the Operations Research Society of America, vol. 2, no. 4, pp. 393–410 (Nov. 1954).
[5] T. C. Koopmans and S. Reiter, “A model of transportation,” in Activity Analysis of Production and Allocation, T. C. Koopmans, Ed., Cowles Commission Monograph No. 13, New York, NY, USA: Wiley, pp. 222–259 (1951).
[6] Y. Zhou, J. K. Hao, and B. Duval, “Frequent pattern-based search: A case study on the quadratic assignment problem,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 52, no. 3, pp. 1503–1515 (Mar. 2022), doi: 10.1109/TSMC.2020.3027860.
[7] E. Arza, A. Perez, E. Irurozki, and J. Ceberio, “Kernels of Mallows models under the Hamming distance for solving the quadratic assignment problem,” Swarm and Evolutionary Computation, vol. 59, Art. no. 100740 (Dec. 2020).
[8] A. Acan and A. Ünveren, “A great deluge and tabu search hybrid with two-stage memory support for quadratic assignment problem,” Appl. Soft Comput., vol. 36, pp. 185-203 (Jul. 2015).
[9] Y. Aksan, T. Dokeroglu, and A. Cosar, “A stagnation-aware cooperative parallel breakout local search algorithm for the quadratic assignment problem,” Comput. Ind. Eng., vol. 103, pp. 105-115 (Jul. 2017).
[10] K. Anstreicher, N. Brixius, J. P. Goux, and J. Linderoth, “Solving large quadratic assignment problems on computational grids,” Math. Program., vol. 91, no. 3, pp. 563-588 (2002).
[11] Assignment problem, Wikipedia. [Online]. Available: https://en.wikipedia.org/wiki/Assignment_problem. [Accessed: May 1, 2026] (2026).
[12] Quadratic assignment problem, Wikipedia. [Online]. Available: https://en.wikipedia.org/wiki/Quadratic_assignment_problem. [Accessed: May 1, 2026] (2026).
[13] A. Khandelwal and A. Kumar, “Exploring fuzzy assignment dynamics: A computational journey with ‘R’,” Journal of Information and Optimization Sciences, vol. 46, no. 3, pp. 815–829 (2025), doi: 10.47974/JIOS-1835.
[14] J. Dutta and S. C. Pal, “A note on Hungarian method for solving assignment problem,” Journal of Information and Optimization Sciences, vol. 36, no. 5, pp. 451–459 (2015), doi: 10.1080/02522667.2014.926711.
[15] K. J. Hu, “Fuzzy goal programming technique for solving flexible assignment problem in PCB assembly line,” Journal of Information and Optimization Sciences, vol. 38, no. 3–4, pp. 423–442 (2017), doi: 10.1080/02522667.2016.1187922.
[16] T. Nakai, “Sequential stochastic assignment problem with rejection,” Journal of Information and Optimization Sciences, vol. 2, no. 2, pp. 169–180 (1981), doi: 10.1080/02522667.1981.10698699.




