<?xml version="1.0" encoding="UTF-8"?>
<article article-type="research-article" dtd-version="1.3" xml:lang="ru" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="https://metafora.rcsi.science/xsd_files/journal3.xsd">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">moitvivt</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Моделирование, оптимизация и информационные технологии</journal-title>
        <trans-title-group xml:lang="en">
          <trans-title>Modeling, Optimization and Information Technology</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2310-6018</issn>
      <publisher>
        <publisher-name>Издательство</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.26102/2310-6018/2026.55.4.009</article-id>
      <article-id pub-id-type="custom" custom-type="elpub">2276</article-id>
      <title-group>
        <article-title xml:lang="ru">Графовые нейронные сети для предсказания характеристик сетей в архитектурах New IP и ManyNets</article-title>
        <trans-title-group xml:lang="en">
          <trans-title>Graph neural networks for predicting network characteristics in New IP and ManyNets architectures</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Поваров</surname>
              <given-names>Максим Константинович</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Povarov</surname>
              <given-names>Maksim Konstantinovich</given-names>
            </name>
          </name-alternatives>
          <email>maxim.powarov@mail.ru</email>
          <xref ref-type="aff">aff-1</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Гаврилов</surname>
              <given-names>Кирилл Витальевич</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Gavrilov</surname>
              <given-names>Kirill Vitalievich</given-names>
            </name>
          </name-alternatives>
          <email>clickhonk@gmail.com</email>
          <xref ref-type="aff">aff-2</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Корчагин</surname>
              <given-names>Павел Алексеевич</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Korchagin</surname>
              <given-names>Pavel Alexeyevich</given-names>
            </name>
          </name-alternatives>
          <email>pasha.korchagin.03@mail.ru</email>
          <xref ref-type="aff">aff-3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Пищулин</surname>
              <given-names>Павел Александрович</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Pishchulin</surname>
              <given-names>Pavel Aleksandrovich</given-names>
            </name>
          </name-alternatives>
          <email>pavelalexx485@mail.ru</email>
          <xref ref-type="aff">aff-4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Малахов</surname>
              <given-names>Сергей Валерьевич</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Malakhov</surname>
              <given-names>Sergey Valeryevich</given-names>
            </name>
          </name-alternatives>
          <email>s.malakhov@psuti.ru</email>
          <xref ref-type="aff">aff-5</xref>
        </contrib>
      </contrib-group>
      <aff-alternatives id="aff-1">
        <aff xml:lang="ru">Поволжский государственный университет телекоммуникаций и информатики</aff>
        <aff xml:lang="en">Povolzhskiy State University of Telecommunications and Informatics</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-2">
        <aff xml:lang="ru">Поволжский государственный университет телекоммуникаций и информатики</aff>
        <aff xml:lang="en">Povolzhskiy State University of Telecommunications and Informatics</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-3">
        <aff xml:lang="ru">Поволжский государственный университет телекоммуникаций и информатики</aff>
        <aff xml:lang="en">Povolzhskiy State University of Telecommunications and Informatics</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-4">
        <aff xml:lang="ru">Поволжский государственный университет телекоммуникаций и информатики</aff>
        <aff xml:lang="en">Povolzhskiy State University of Telecommunications and Informatics</aff>
      </aff-alternatives>
      <aff-alternatives id="aff-5">
        <aff xml:lang="ru">Поволжский государственный университет телекоммуникаций и информатики</aff>
        <aff xml:lang="en">Povolzhskiy State University of Telecommunications and Informatics</aff>
      </aff-alternatives>
      <pub-date pub-type="epub">
        <day>01</day>
        <month>01</month>
        <year>2026</year>
      </pub-date>
      <volume>1</volume>
      <issue>1</issue>
      <elocation-id>10.26102/2310-6018/2026.55.4.009</elocation-id>
      <permissions>
        <copyright-statement>Copyright © Авторы, 2026</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>This work is licensed under a Creative Commons Attribution 4.0 International License</license-p>
        </license>
      </permissions>
      <self-uri xlink:href="https://moitvivt.ru/ru/journal/article?id=2276"/>
      <abstract xml:lang="ru">
        <p>В архитектурах New IP и ManyNets (ITU-T Network 2030) возрастает потребность в предсказании характеристик сетей, в том числе задержки пути, без тяжелой симуляции; неочевидно, при каких условиях графовые нейронные сети превосходят простые расчетные методы и как модели обобщаются на графы иного размера. Цель – оценить применимость графовой модели к задаче задержки пути на синтетических графах с формулой, учитывающей нагрузку на ребрах, и обобщение на графы большего размера. Применен сравнительный эксперимент на графах Эрдеша–Реньи: модель на основе графовой свертки сопоставлена с базовым методом; два эксперимента – целевая задержка с учетом нагрузки и тест на графах с 15 и 20 узлами после обучения на графах с 15 узлами. Результаты: в первом эксперименте базовый метод дал MAE 1,85 и MAPE 7,89 %, графовая модель – 9,91 и 59,20 %; во втором при переходе теста с 15 на 20 узлов MAE графовой модели снизилась примерно на 7 %, базового метода выросла на ~8 %. Сделан вывод о применимости подхода на синтетических данных как первого шага к моделям оценки характеристик сетей для архитектур New IP и ManyNets. Материалы полезны специалистам при выборе и валидации методов предсказания задержки и планировании экспериментов на синтетических топологиях.</p>
      </abstract>
      <trans-abstract xml:lang="en">
        <p>In New IP and ManyNets architectures (ITU-T Network 2030), the need to predict network characteristics, including path delay, without heavy simulation grows; it remains unclear when graph neural networks outperform simple computational methods and how such models generalize to different graph sizes. This article aims to assess applicability of a graph neural network to the path delay task on synthetic graphs with a formula accounting for link load, and to evaluate generalization to larger graphs. A comparative experiment on Erdős–Rényi graphs was applied: a graph convolution-based model was compared with a baseline method; two experiments were conducted: a load-aware target latency experiment and a test on graphs with 15 and 20 nodes after training on graphs with 15 nodes. Results (single run): in the first experiment the baseline gave MAE 1.85 and MAPE 7.89 %, the graph model 9.91 and 59.20 %; in the second, when moving from 15- to 20-node test graphs, the graph model’s MAE decreased by about 7 % and the baseline’s increased by about 8 %. The approach is concluded applicable on synthetic data as a first step toward models for predicting network characteristics in New IP and ManyNets architectures. The materials are of practical value for specialists when choosing and validating delay prediction methods and planning experiments on synthetic topologies.</p>
      </trans-abstract>
      <kwd-group xml:lang="ru">
        <kwd>графовые нейронные сети</kwd>
        <kwd>предсказание характеристик сетей</kwd>
        <kwd>New IP</kwd>
        <kwd>ManyNets</kwd>
        <kwd>предсказание задержки</kwd>
        <kwd>синтетические сетевые топологии</kwd>
        <kwd>графы Эрдеша-Реньи</kwd>
        <kwd>качество обслуживания</kwd>
        <kwd>топология сети</kwd>
        <kwd>графовая свертка</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <kwd>graph neural networks</kwd>
        <kwd>network characteristics prediction</kwd>
        <kwd>New IP</kwd>
        <kwd>ManyNets</kwd>
        <kwd>delay prediction</kwd>
        <kwd>synthetic network topologies</kwd>
        <kwd>Erdős–Rényi graphs</kwd>
        <kwd>quality of service</kwd>
        <kwd>network topology</kwd>
        <kwd>graph convolution</kwd>
      </kwd-group>
      <funding-group>
        <funding-statement xml:lang="ru">Исследование выполнено без спонсорской поддержки.</funding-statement>
        <funding-statement xml:lang="en">The study was performed without external funding.</funding-statement>
      </funding-group>
    </article-meta>
  </front>
  <back>
    <ref-list>
      <title>References</title>
      <ref id="cit1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Rusek K., Suárez-Varela J., Almasan P., Barlet-Ros P., Cabellos-Aparicio A. RouteNet: Leveraging graph neural networks for network modeling and optimization in SDN. IEEE Journal on Selected Areas in Communications. 2020;38(10):2260–2270. https://doi.org/10.1109/JSAC.2020.3000405</mixed-citation>
      </ref>
      <ref id="cit2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Kipf Th.N., Welling M. Semi-supervised classification with graph convolutional networks. In: 5th International Conference on Learning Representations, ICLR 2017, 24–26 April 2017, Toulon, France. 2017. URL: https://openreview.net/forum?id=SJU4ayYgl</mixed-citation>
      </ref>
      <ref id="cit3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Scarselli F., Gori M., Tsoi A.Ch., Hagenbuchner M., Monfardini G. The graph neural network model. IEEE Transactions on Neural Networks. 2009;20(1):61–80. https://doi.org/10.1109/TNN.2008.2005605</mixed-citation>
      </ref>
      <ref id="cit4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Gilmer J., Schoenholz S.S., Riley P.F., Vinyals O., Dahl G.E. Neural message passing for quantum chemistry. In: Proceedings of the 34th International Conference on Machine Learning, ICML 2017, 06–11 August 2017, Sydney, NSW, Australia. PMLR; 2017. P. 1263–1272.</mixed-citation>
      </ref>
      <ref id="cit5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Xu K., Hu W., Leskovec J., Jegelka S. How powerful are graph neural networks? In: International Conference on Learning Representations, ICLR 2019, 06–09 May 2019, New Orleans, LA, USA. 2019. URL: https://openreview.net/forum?id=ryGs6iA5Km</mixed-citation>
      </ref>
      <ref id="cit6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Farreras M., Soto P., Camelo M., Fàbrega L., Vilà P. Improving network delay predictions using GNNs. Journal of Network and Systems Management. 2023;31(4). https://doi.org/10.1007/s10922-023-09758-9</mixed-citation>
      </ref>
      <ref id="cit7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Roy A., Pachuau J.L., Saha A.K. An overview of queuing delay and various delay based algorithms in networks. Computing. 2021;103(10):2361–2399. https://doi.org/10.1007/s00607-021-00973-3</mixed-citation>
      </ref>
      <ref id="cit8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Knight S., Nguyen H.X., Falkner N., Bowden Rh., Roughan M. The internet topology zoo. IEEE Journal on Selected Areas in Communications. 2011;29(9):1765–1775. https://doi.org/10.1109/JSAC.2011.111002</mixed-citation>
      </ref>
      <ref id="cit9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Erdos P., Renyi A. On the evolution of random graphs. Publications of the Mathematical Institute of the Hungarian Academy of Sciences. 1960;5:17–61.</mixed-citation>
      </ref>
      <ref id="cit10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Fey M., Lenssen J.E. Fast graph representation learning with PyTorch Geometric. arXiv. URL: https://arxiv.org/abs/1903.02428 [Accessed 5th March 2025].</mixed-citation>
      </ref>
    </ref-list>
    <fn-group>
      <fn fn-type="conflict">
        <p>The authors declare that there are no conflicts of interest present.</p>
      </fn>
    </fn-group>
  </back>
</article>