2026 1(50) 2

Theoretical and applied issues of using goal programming in resource allocation problems

Ivanov S.,
PhD in Economic Sciences, Associate Professor,
ORCID https://orcid.org/0000-0002-3994-280X
e-mail: ivanovsn1954@gmail.com
Mariupol State University, Kyiv

Citation Format
Ivanov, S. (2026). Theoretical and applied issues of using goal programming in resource allocation problems. Vіsnyk ekonomіchnoі nauky Ukraіny, 1(50), 20-28. https://doi.org/10.37405/3041-1629.2026.1(50).20-28

Language
 Ukrainian

Resume
The article is devoted to the use of goal programming in combination with priority resource allocation mechanisms for building a model and calculation an optimal distribution options depending on the priority of the goals to which the resources are directed. Theoretical aspects of the goal programming application and various ways of representing goals based on linear programming are considered. An optimization model is constructed with a built-in resource allocation principle based on a priority mechanism. The use of the approach is illustrated by a conditional example, based on which calculations were made for several options for resource allocation depending on the priority of goals. The calculations showed that the ranking of goals by degree of importance significantly affects the optimal solutions. This makes it possible to choose the solution that will bring the best result in specific conditions.. The calculations also showed the importance of using specialization in directing the received resources to specific actions. The introduced approach can be used as a basis for developing recommendations for improving resource allocation mechanisms.

Keywords
resource allocation, allocation mechanisms, modeling, goal programming.

Referensces

  1. Veres, Yu. O. (2010). Distribution of limited resources in project management. Visnyk Natsionalnoho universytetu «Lvivska politekhnika». Kompiuterni systemy proektuvannia. Teoriia i praktyka, 685, 33-44. https://science.lpnu.ua/sites/default/files/journal-paper/2018/aug/14107/05.pdf [in Ukrainian].
  2. Halitsyn, V. K., & Suslov, O. P. (2016). Teoriia keruvannia: navchalnyi posibnyk. KNEU [in Ukrainian].
  3. Veres, O. M., Veres, Yu. A., & Katrenko, A. V. (2008). DSS for managing the distribution of limited resources. Visnyk Natsionalnoho universytetu «Lvivska politekhnika». Informatsiini systemy ta merezhi, 610, 52-62. https://ena.lpnu.ua/handle/ntb/461 [in Ukrainian].
  4. Voronin, A. M., & Savchenko, A. S. (2022). Resource allocation problem. Problemy keruvannia ta informatyky, 1, 5-10. https://doi.org/10.34229/1028-0979-2022-1-1 [in Ukrainian].
  5. Kozelskyi, O. (2025). Tensor decomposition method for adaptive resource allocation in real-time systems. Vymiriuvalna ta obchysliuvalna tekhnika v tekhnolohichnykh protsesakh, 2, 426-433. https://doi.org/10.31891/2219-9365-2025-82-61 [in Ukrainian].
  6. Novozhylova, M. V., Chub, O. I., & Kostenko, O. B. (2025). Construction and implementation of a multi­dimen­sional resource allocation problem taking into account the time window. Visnyk KhNTU, 4(95), 125-131. https://doi.org/10.35546/kntu2078-4481.2025.4.2.16 [in Ukrainian].
  7. Kvashuk, V. P., Rak, Yu. P., & Bondarenko, V. V. (2013). Mechanisms of resource allocation management in development projects of complex socio-economic systems. Upravlinnia rozvytkom skladnykh system, 15, 25-29. https://urss.knuba.edu.ua/files/zbirnyk-15/25-29.pdf [in Ukrainian].
  8. Ahsun, A., & Elly, B. (2024). Optimizing Resource Allocation for Enhanced Project Efficiency. ResearchGate. https://www.researchgate.net/publication/385560767_Optimizing_Resource_Allocation_for_Enhanced_Project_Efficiency#fullTextFileContent
  9. He, W., Li, W., & Wang, W. (2021). Developing a Resource Allocation Approach for Resource-Constrained Construction Operation under Multi-Objective Operation. Sustainability, 13(13), 7318. https://doi.org/10.3390/su13137318
  10. Pratama, I. N., Dachyar, M., & Pratama, N. R. (2023). Optimization of Resource Allocation and Task Allocation with Project Management Information Systems in Information Technology Companies. TEM Journal, 12(3), 1814-1824. https://doi.org/10.18421/TEM123-65
  11. Odu, G. O., & Charles-Owaba, O. E. (2013). Review of Multi-criteria Optimization Methods – Theory and Applications. IOSR Journal of Engineering, 3(10), 1-14. https://doi.org/10.9790/3021-031020114
  12. Emmerich, M., & Deutz, A. (2024). Multicriteria Optimization and Decision Making. Principles, Algorithms and Case Studies: Lecture Notes, MSc Course 2012-2023. LIACS, Leiden University. https://doi.org/10.48550/arXiv.2407.00359
  13. Charnes, A., Cooper, W. W., & Ferguson, R. (1955). Optimal estimation of executive compensation by linear programming. Management Science, 1(2), 138-151. https://doi.org/10.1287/mnsc.1.2.138
  14. Charnes, A., & Cooper, W. W. (1961). Management models and industrial applications of linear programming. John Wiley & Sons Inc. https://ia801401.us.archive.org/32/items/in.ernet.dli.2015.133128/2015.133128.Management-Model-And-Industrial-Application-Of-Linear-Programming.pdf
  15. Shaik, Md. Y. H., & Robak, E. W. (2010). A Forest Management Process to Incorporate Multiple Objectives: a Framework for Systematic Public Input. Forests, 1(3), 99-113. https://doi.org/10.3390/f1030099
  16. Colapinto, C., Jayaraman, R., & La Torre, D. (2020). A goal programming model to study the impact of R&D expenditures on sustainability-related criteria: the case of Kazakhstan. Management Decision, 58(11), 2497-2512. https://doi.org/10.1108/MD-09-2019-1334
  17. Gaspars-Wieloch, H. (2020). A new application for the goal programming: The target decision rule for uncertain problems. Journal of Risk and Financial Management, 13(11), 1-14. https://doi.org/10.3390/jrfm13110280
  18. Abha, D. (2016). Application of Goal Programming in Medical Management. AIMT Journal of Management, 6(II), 28-30. https://doi.org/10.65301/aimt.2016.6.II.675
  19. Hasmukhbhai, C. P., Khanna, R., & Patel, K. A. (2023). Practical and adaptable applications of goal prog­ram­ming: a literature review. Journal of Advanced Zoology, 44(S-5), 2938-2946. https://doi.org/10.53555/jaz.v44iS5.2017
  20. Ivanov, S. M. (2025). On one of the approaches to decision-making in the conditions of a set of goals. Tsyfrova ekonomika, 789-793. https://doi.org/10.33111/978-966-926-559-3 [in Ukrainian].
  21. Polasi, S., & Shalini, K. (2024). Optimizing Agricultural Sustainability: A Comparative Analysis of Crop Plans through Goal Programming and R Programming. Research Square. https://doi.org/10.21203/rs.3.rs-3998557/v1
  22. Afolabi, O. R., Gatta, A. A., Hammanyero, B. Y., & Umar, A. (2025). Goal Programming Model for Resources Allocation and Production Planning of Adama Beverages. International Journal of Development Mathematics (IJDM), 2(2), 233-245. https://doi.org/10.62054/ijdm/0202.13
  23. Lozano, S., & Contreras, I. (2022). Centralised resource allocation using Lexicographic Goal Program-Application to the Spanish public university system. Socio-Economic Planning Sciences, 84, 101419. https://doi.org/10.1016/j.seps.2022.101419
  24. Mohamed, S., & Alidrisi, H. (2012). Resource allocation for strategic quality management: a goal programming approach. International Journal of Quality & Reliability Management, 29(3). https://doi.org/10.1108/02656711211216135

Full Text (.pdf)

Received: 16.04.2026
Accepted: 12.05.2026
Published: 29.05.2026