Названия:
INTEGRATED ANALYSIS OF MATHEMATICAL OPTIMIZATION METHODS IN COMPLEX ENGINEERING SYSTEMS AND INDUSTRIAL DESIGN
Автор:
Akmammedov Serdar, Yollyyev Geldimyrat, Yazdurdyyeva Mahym
Расположение страниц:
79-84
Язык:
Английский
Аннотация:
This scientific article provides a comprehensive and multi-dimensional overview of modern optimization methods utilized to solve intricate engineering and production problems. The authors investigate the critical transition from classical analytical optimization to advanced numerical algorithms such as gradient descent, linear programming, and stochastic methods. The paper details the fundamental importance of objective functions and constraints in defining the feasible region for optimal solutions across various industrial sectors. Special attention is paid to the application of these methods in logistics, structural design, energy management, and multi-objective decision-making. The study emphasizes the vital synergy between mathematical theory and computational implementation, highlighting how optimization serves as an essential tool for improving efficiency, ensuring safety, and reducing resource consumption in modern technological processes.