{"id":10285,"date":"2026-04-06T16:40:48","date_gmt":"2026-04-06T15:40:48","guid":{"rendered":"https:\/\/izvestiyakbncran.ru\/?page_id=10285"},"modified":"2026-04-08T09:31:12","modified_gmt":"2026-04-08T08:31:12","slug":"25-6-5-en","status":"publish","type":"page","link":"https:\/\/izvestiyakbncran.ru\/index.php\/en\/25-6-5-en\/","title":{"rendered":"25.6.5 En"},"content":{"rendered":"\n<h1 class=\"wp-block-heading has-lora-font-family\" style=\"font-size:22px\"><strong>Computer design method of branched pipeline hydraulic networks with an optimal number of Steiner points<\/strong><\/h1>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-824dd78a76d939ba4ed4c833db6df048\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\"><strong>M.A. Bagov<br><\/strong><\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-86b70c892ee51d64e6bf0730e3274f25\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\"><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\" style=\"margin-top:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20)\"\/>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-d3328a80 wp-block-group-is-layout-flex\" style=\"margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--20);padding-bottom:var(--wp--preset--spacing--20)\">\n<p class=\"has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-fa99f84d8051eb763ab85c3007cdb1c2\" style=\"color:#5b1919;text-decoration:underline\"><strong><strong>Upload the full text<\/strong><\/strong><\/p>\n\n\n\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-9151b400 wp-block-group-is-layout-flex\" style=\"min-height:0px;margin-top:0;margin-bottom:0;padding-top:0;padding-bottom:0\">\n<div class=\"wp-block-buttons is-content-justification-left is-layout-flex wp-container-core-buttons-is-layout-15bf754d wp-block-buttons-is-layout-flex\" style=\"margin-top:0;margin-bottom:0;padding-top:0;padding-right:0;padding-bottom:0;padding-left:0\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100 is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link has-background-background-color has-text-color has-background has-link-color has-border-color has-small-font-size has-custom-font-size wp-element-button\" href=\"http:\/\/izvestiyakbncran.ru\/wp-content\/uploads\/2026\/04\/bag-5.pdf\" style=\"border-color:#5b1919;border-style:solid;border-width:2px;border-radius:8px;color:#5b1919;padding-top:0.4rem;padding-right:var(--wp--preset--spacing--40);padding-bottom:0.4rem;padding-left:var(--wp--preset--spacing--40)\">PDF<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:0px;width:0px\" aria-hidden=\"true\" class=\"wp-block-spacer wp-container-content-273e683f\"><\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-9f2b3838c9c8fe91adcc7c50f290422d\" style=\"line-height:1.4\"><em><strong><strong>Abstract<\/strong>:<\/strong> <\/em>A method and algorithm for constructing flow hydraulic networks with an optimal number of Steiner points have been developed. The method consists of sequential removal of Steiner points and subsequent optimization of the coordinates of effective Steiner points. The computer system was created for the design of large distribution pipeline networks for regional and interregional water supply.<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-df03325adc83c022634de6b79d43432f\" style=\"line-height:1.4\"><\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-9bb4076f0972a9d1d63d3f95f3fd0e58\" style=\"line-height:1.4\"><strong><em><strong>Keywords<\/strong>:<\/em><\/strong> stream network, Steiner points, quantity and coordinate optimization<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-df03325adc83c022634de6b79d43432f\" style=\"line-height:1.4\"><\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family wp-elements-05145a8e26ad79df821d3106c811ad13\" style=\"font-size:12px;line-height:1.4\"><strong><strong>For citation<\/strong>.<\/strong> Bagov M.A. Computer design method of branched pipeline hydraulic networks with an optimal number of Steiner points. News of the Kabardino-Balkarian Scientific Center of RAS. 2023. No. 6(116). Pp. 55\u201364. DOI: 10.35330\/1991-6639-2023-6-116-55-64<\/p>\n\n\n\n<p class=\"has-foreground-color has-text-color has-link-color has-lora-font-family wp-elements-17c3333a0b1db39b7fa4a3e1a1572bc4\" style=\"font-size:12px;line-height:1.4\"><\/p>\n\n\n\n<details class=\"wp-block-details has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-baf1eb6fdf647f6cbde2fff8fe1c07fa is-layout-flow wp-container-core-details-is-layout-0ab540ad wp-block-details-is-layout-flow\" style=\"font-style:normal;font-weight:700;line-height:1.5\"><summary><strong>R<\/strong>eferences<\/summary>\n<ol style=\"margin-top:0;margin-bottom:0\" class=\"wp-block-list\">\n<li style=\"font-style:normal;font-weight:400\">Kudaev V.Ch. Ranks of extrema and structural optimization of large network systems. <em>News of the Kabardino-Balkarian Scientific Center of RAS<\/em>. 2016. No. 4(72). Pp. 15\u201324. (In Russian)<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Kudaev V.Ch., Bagov M.A. Construction of a Steiner stream network of the 2nd rank of optimality. Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz. Vol. 253. 2021. Pp. 488\u2013499. (In Russian)<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Abazokov M.B., Bagov M.A., Kudaev V.Ch. Computer design of large pipeline networks of high optimality rank. Doklady AMAN [Reports of AMAN]. 2022. Vol. 22. No. 4. Pp. 39\u201356. DOI: https:\/\/doi.org\/10.47928\/1726-9946-2022-22-4-39-56. (In Russian)<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Merenkov A.P., Sennova E.V., Sumarokov S.V. et al. Matematicheskoye modelirovaniye i optimizatsiya sistem teplo-, vodo-, nefte- i gazosnobzheniya [Mathematical modeling and optimization of heat, water, oil and gas supply systems]. Novosibirsk: Nauka, 1992. 407 p. (In Russian)<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Abramov N.N., Pospelova M.M., Somov M.A., Varapaev V.N., Kerimova D.Kh. Raschet vodoprovodnykh setey [Calculation of water supply networks]. Moscow: Stroyizdat, 1983. 278 p. (In Russian)<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Gilbert E.N., Pollak G.O. Minimal Steiner trees. Kiberneticheskiy sbornik [Cybernetic collection]. New series. 1971. Vol. 8. Pp. 19\u201349. (In Russian)<\/li>\n\n\n\n<li style=\"font-style:normal;font-weight:400\">Gilbert E.N. Minimal Cost Communication Networks. Bell System technological Journal. No. 9. Pp. 48\u201350.<\/li>\n<\/ol>\n<\/details>\n\n\n\n<details class=\"wp-block-details has-foreground-color has-text-color has-link-color has-lora-font-family has-extra-small-font-size wp-elements-5db2405eb9362b3007a88546b921af1f is-layout-flow wp-container-core-details-is-layout-5dafc681 wp-block-details-is-layout-flow\" style=\"font-style:normal;font-weight:700;line-height:1.5\"><summary><strong>Information about the author<\/strong><\/summary>\n<div class=\"wp-block-group is-vertical is-layout-flex wp-container-core-group-is-layout-b291ae12 wp-block-group-is-layout-flex\" style=\"min-height:0px;margin-top:0;margin-bottom:0;padding-top:var(--wp--preset--spacing--20);padding-right:var(--wp--preset--spacing--40);padding-bottom:var(--wp--preset--spacing--20);padding-left:var(--wp--preset--spacing--40)\">\n<p style=\"font-style:normal;font-weight:400\"><strong>Bagov Marat Alievich<\/strong>, Researcher of the Department of Computational Methods, Institute of Applied Mathematics and Automation \u2013 branch of Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences;<br>360000, Russia, Nalchik, 89 \u0410 Shortanov street;<br>maratniipma@mail.ru, ORCID: https:\/\/orcid.org\/0000-0003-0899-898X<\/p>\n\n\n\n<p style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p style=\"font-style:normal;font-weight:400\"><\/p>\n\n\n\n<p style=\"font-style:normal;font-weight:400\"><\/p>\n<\/div>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>Computer design method of branched pipeline hydraulic networks with an optimal number of Steiner points M.A. Bagov Upload the full text Abstract: A method and algorithm for constructing flow hydraulic networks with an optimal number of Steiner points have been developed. The method consists of sequential removal of Steiner points and subsequent optimization of the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"wp-custom-template-home","meta":{"footnotes":""},"class_list":["post-10285","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>25.6.5 En - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/izvestiyakbncran.ru\/index.php\/en\/25-6-5-en\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"25.6.5 En - \u0418\u0417\u0412\u0415\u0421\u0422\u0418\u042f \u041a\u0410\u0411\u0410\u0420\u0414\u0418\u041d\u041e-\u0411\u0410\u041b\u041a\u0410\u0420\u0421\u041a\u041e\u0413\u041e \u041d\u0410\u0423\u0427\u041d\u041e\u0413\u041e \u0426\u0415\u041d\u0422\u0420\u0410 \u0420\u0410\u041d\u00bb\" \/>\n<meta property=\"og:description\" content=\"Computer design method of branched pipeline hydraulic networks with an optimal number of Steiner points M.A. Bagov Upload the full text Abstract: A method and algorithm for constructing flow hydraulic networks with an optimal number of Steiner points have been developed. 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