The significant volume of construction of various types of pipeline engineering networks in our country makes the task of optimal management of their development one of the most pressing, which in the literature [1, 2.,3] is often called the task of technical and economic calculation of networks at the design stageю  Even a small (5-10%) reduction in the amount of reduced costs for the construction and operation of heat, water and gas supply systems on a national scale can lead to a major national economic effect. When designing utility networks, problems of structural and parametric optimization arise [9,10]. The first of these comes down to determining a number of structural parameters - network routing, choosing the location of booster pumping stations, throttles, compressors, etc., and when solving the second, for a given structure, it is necessary to determine a multidimensional vector of parameters for each of the active and passive elements included in the structure. In reality, by combining any sequence of selection of various structures and conducting parametric optimization, for each of them it is possible to find an optimal engineering solution for the network, choosing one or several [10,17] optimization criteria. It should be noted that in a number of cases, due to the inconsistency of the optimization criteria (for example, the criterion of maximum reliability in principle contradicts the criterion of minimum capital investment), problems of multi-criteria optimization arise, for the solution of which a number of methods have been proposed [8], but further research and development are required, as well as their widespread implementation in the practice of designing and operating utility networks.

BAKHRAMOV U.

Candidate of Technical Sciences, professor, Tashkent State Transport University,  Tashkent, Uzbekistan.

Е-mail: bahramov_umarhod@mail.ru, https://orcid.org/0009-0006-1324-1403

ABDIGANIYEVA G.K.

Senior Lecturer, Karakalpak State University named after Berdakh, Nukus, Karakalpakstan, Uzbekistan.

Е-mail: abdiganieva1972@mail.ru, https://orcid.org/0000-0002-0774-0947

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3. Bakhramov U. On methods for solving optimization problems for pipeline engineering networks. Bulletin-scientific journal of TashIIZhT, 2018 / No. 2-3, ISSN 2091-5365. 100-104 p.
4. Bakhramov U. Study of information about the loads of water supply and distribution systems and the form of its use. "Questions of Computational and Applied Mathematics" vol. 64, Tashkent, 1981, 92-99 p.
5. Bakhramov U. Determination of the reliability of pipeline engineering networks during their work in various conditions. Bulletin of Karakalpok State University named after Berdakh Volume. 2 (34) 2017 ISSN 2010-9075 2017. 38-45 p.
6. Bakhramov U. Development of a mathematical model of stochastic flow distribution in pipeline engineering networks –1st International Scientific Conference "Modern Materials Science: Topical Issues, Achievements and Innovations" (ISCMMSTIAI-2022) (Tashkent, Mart 4-5, 2022), 821-827 p.
7. Bakhramov U. Simulation of Consumption Processes of a Target Product in Engineering Networks, Solid State Technology Volume: 65 Issue:1 Publication Year: 2022. 63-69 p.
8. Bakhramov U. C. Simulation of Engineering Networks and Assessment of the Accuracy of the Mathematical Model., Solid State Technology, Volume: 65 Issue:1 Publication Year: 2022. 69-79 p.
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15. Yu.A. Fokin. Textbook for the course "Mathematical Problems of Energy", Methods for calculating the integral characteristics of the modes of power supply systems in determining the design loads. M., MPEI. 2005. 120 p.
16. Yudin D.B., Holstein E.G. Linear programming. Theory, methods and applications. –M.: Nauka, 1999.- 424 p.
17. Bakhramov U. On methods for solving optimization problems for pipeline engineering networks. Bulletin-scientific journal of TashIIZhT, 2018 / No. 2-3, ISSN 2091-5365. 100-104 p.
18. Bakhramov U. Study of information about the loads of water supply and distribution systems and the form of its use. "Questions of Computational and Applied Mathematics" vol. 64, Tashkent, 1981, 92-99 p.
19. Bakhramov U. Determination of the reliability of pipeline engineering networks during their work in various conditions. Bulletin of Karakalpаk State University named after Berdakh Volume. 2 (34) 2017 ISSN 2010-9075 2017. 38-45 p.
20. Bakhramov U. Development of a mathematical model of stochastic flow distribution in pipeline engineering networks – E3S Web of Conferences 477, 00063 (2024) https://doi.org/10.1051/e3sconf/202447700063 STAR'2023 DOI: https://doi.org/10.1051/e3sconf/202447700063
21. Bakhramov U. Simulation of Consumption Processes of a Target Product in Engineering Networks., Solid State Technology Volume: 65 Issue:1 Publication Year: 2022.63-69 p.

design, mathematical models of engineering networks, distribution function, engineering networks, network structure, optimization problems, the process of consuming the target product (PCTP), pipe diameters