INTEGRAL EQUATIONS IN THE THEORY OF MASS SERVICE AND SUPPLY CHAIN OPTIMIZATION
INTEGRAL EQUATIONS IN THE THEORY OF MASS SERVICE AND SUPPLY CHAIN OPTIMIZATION
DOI:
https://doi.org/10.52754/16948645_2026_1(8)_11Keywords:
integral equations, queuing systems, supply chains, optimization, numerical methods, Fredholm equation, Volterra equation.Abstract
This article examines the application of integral equations to the modeling of queuing systems and the optimization of supply chains. It is demonstrated that the use of integral models makes it possible to account for cumulative demand, delivery delays, and the distribution of customers among service facilities. Analytical and numerical methods for solving integral equations are presented, and an example of inventory and resource management optimization is discussed. The results of this study can be applied to improve the efficiency of logistics processes and reduce customer waiting time.
References
Вентцель Е.С. Исследование операций: задачи, принципы, методологии. – 8 – е изд., стер. – Москва: КНОРУС, 2019. – 192 с.
Крейн С.Г. Интегральные уравнения: введение в теорию. – Москва: ЛЕНАНД, 2017. – 320 с.
Клейнрок Л. Теория массового обслуживания / пер. с англ. – Москва: Машиноостроение, 1979. – 432 с.
Таха Х.А. Введение в исследование операций. – 10 – е изд. – Москва: Вильямс, 2019. – 912 с.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Journal of Osh State University. Mathematics. Physics. Technical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
