Vol. 2 No. 8 (2026), Articles
Vol. 2 No. 8 (2026)

OPTIMIZATION MODELS IN APPLIED MATHEMATICS AND THEIR APPLICATION IN ECONOMIC SYSTEMS

Articles
Published 2026-04-02
Usanov Kamoliddin Kholboyevich
Assistant, Department of Applied Mathematics Samarkand Institute of Economics and Service
To‘rayev Javohir Komiljon o‘g‘li
Student, “Financial Technologies and Finance” program (Group MK-125) Samarkand Institute of Economics and Service
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Keywords

optimization, linear programming, mathematical modeling, economic system, resource allocation, profit maximization.

Abstract

This article provides a comprehensive analysis of optimization theory, one of the important areas of applied mathematics, its mathematical foundations, and its application in economic systems. The study examines the characteristics of linear and nonlinear optimization models, methods for solving them, and their impact on economic efficiency. In addition, the possibilities of optimal resource utilization are demonstrated using mathematical models adapted to real economic processes. The results show that optimization methods are an important tool in improving the decision-making process.

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References

1. Taha, H.A. Operations Research: An Introduction.

2. Winston, W.L. Operations Research: Applications and Algorithms.

3. Hillier, F.S., Lieberman, G.J. Introduction to Operations Research.

4. Bazaraa, M.S. Nonlinear Programming: Theory and Algorithms.

5. Boyd, S., Vandenberghe, L. Convex Optimization.