OPTIMIZATION OF RESOURCES IN PRODUCTION SYSTEMS USING LINEAR PROGRAMMING

Authors

  • Sherzodjon Ro‘zaliyev Head of the Department of Information Technologies, Fergana State University, Doctor of Philosophy (PhD) in Pedagogical Sciences Author
  • Pokizaxon Xaydarova Third-year student, Applied Mathematics major, Group 22.11, Fergana State University Author

Keywords:

Linear programming, optimization, resource allocation, Simplex method, production planning, practical, economic optimization

Abstract

This article discusses the problem of optimal distribution of production products using the method of linear programming (LP). Through linear programming, the documents and objective functions involved in the production process are represented by corresponding linkage indicators. The article analyzes the general linear programming model and its practical applications, including solving optimization problems in production and resource allocation using methods such as the graphical method and the Simplex method. The role of linear programming methodology in economics is demonstrated through practical examples, particularly concerning production and resource allocation. The paper explores project-based planning and the application of economic principles in optimizing production plans..

References

Vasilev, V.P. (2015). Theory and Practice of Linear Programming. Moscow: MGU.

- Zhuravlev, A.A. (2017). Mathematical Modeling: Linear Programming and Its Applications. Saint Petersburg: Polytechnic Publishing.

- Klimov, V.A., & Yuldashev, I.A. (2019). Methods of Linear Programming in Economic Systems. Tashkent: Sharq Publishing.

- Rakhmanov, D.I., & Komilov, S.I. (2020). Production Management and Optimal Resource Allocation. Tashkent: University Press.

- Mordukhovich, V.P. (2014). Optimal Control and Resource Allocation. Moscow: Nauka Publishing.

Published

2025-05-14

How to Cite

OPTIMIZATION OF RESOURCES IN PRODUCTION SYSTEMS USING LINEAR PROGRAMMING. (2025). Central Asian Journal of Academic Research, 3(5 Part 2), 88-90. https://in-academy.uz/index.php/CAJAR/article/view/35487