Optimal Staff Allocation using the Assignment Model. “A Cost Minimization Approach” (Assigning Lecturers to different Exams Venue in the Department of Statistics, Nasarawa State University, Keffi

References

[1] Akpan, N.P. (2016). A Critique of the Hungarian Method of solving Assignment Model to the Alternate Method of Assignment Model by Mansi

[2] Akpan, N.P. & Iwok I.A. (2016). Application of Linear Programming for Optimal Use of Raw Materials in Bakery. International Journal of Mathematics and Statistics Invention, (51- 57).

[3] Bogomolnaia, A., and Moulin H, (2001). “New Solution to the Random Assignment Problem," Journal of Economic Theory. 100 (295-328).

[4] Britz, S.S and Maltitz, M.J, (2010). “Application of the Hungarian Algorithm in Baseball team Selection and Assignment”.

[5] Ernst, A.T. (2004) Staff Scheduling and Rostering: A review of applications, methods and Models.

[6] Hillier, F. S., & Lieberman, G. J. (2010). Introduction to Operations Research (9th ed.). Mc Graw-Hill.

[7] Jorge, E.G., & Carl, T. H. (2002). Assignment and Allocation Optimization of Partially Multiskilled Force.

[8] Kuhn, H. W. (1955). The Hungarian method for the assignment Model. Naval Research Logistics Quarterly, 2(1-2),83-87.

[9] Maslim, M. (2025) Optimizing Resource Allocations with the Hungarian Method.

[10] Microsoft Corporation. (2020). Use Solver to find an optimal value for a formula in one cell – Excel. Retrieved from Microsoft Office documentation.

[11] Povh J. (2008). Assignment Models in Logistics. Logistics and Sustainable Transport

[12] Prablyot, K., Aniy, S., Vanita, V., & Kalpana D. (2016). A Priority based Assignment Problem.

[13] Applied Mathematical Modelling (7784-7795).

[14] Quazzafi R & Aamir Khan Abdul (2019). Modified Hungarian Method for Unbalanced Assigment Problems with Multiple jobs. Applied Mathematics and Computations (493- 498).

[15] Robert S. (2005). The Assignment of Workers to Jobs in an Economy with coordination Frictions.

[16] Sharma, J. K. (2013). Operations Research theory and Application, Macmillian publishers, Indian Limited.

[17] Sourav, K. B. (2021) Course and lecture Assignment Model solver for education institution Using Hungarian Method.

[18] Suileman, K. (2017) An Optimal Assignment Schedule of Staff-Subject Allocation

[19] Winston, W. L. (2004). Operations Research: Applications and Algorithms (4th ed.) Brooks/Cole.

@article{1720237,
      author = {Mohammed Idris Umar, Rabo Yahaya Saidu, Abdullahi Shehu},
      title = {Optimal Staff Allocation using the Assignment Model. “A Cost Minimization Approach” (Assigning Lecturers to different Exams Venue in the Department of Statistics, Nasarawa State University, Keffi},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {1},
      pages = {4025-4030},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1720237.pdf},
      abstract = {The study applied the Assignment Model of Operations Research to optimize the allocation of examination invigilation duties in the Department of Statistics and Data Analytics, Nasarawa State University, keffi. The objective was to minimize the walking distance of academic staff to examination halls. Nine eligible staff and eight halls were considered, with a dummy hall added to balance the problem. Distances in metres from staff offices to halls served as the cost matrix, and the problem was solved using Microsoft Excel Solver. The optimized allocation produced a total minimized distance of 580 metres, compared to a baseline of 920 metres under non-optimized allocation. This represents a significant reduction in walking distance, ensuring more efficient and fair deployment of staff. The study demonstrates the usefulness of the Assignment Model as a practical decision-making tool for resource allocation in university administration.},
      keywords = {Assignment Model, Resource Allocation, Optimization, Cost Matrix, Dummy Variable, Distance.},
      month = {July},
      doi = {https://doi.org/10.64388/IREV10I1-1720237}
  }