<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">mirtr</journal-id><journal-title-group><journal-title xml:lang="ru">Мир транспорта</journal-title><trans-title-group xml:lang="en"><trans-title>World of Transport and Transportation</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1992-3252</issn><publisher><publisher-name>Russian University of Transport (RUT)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.30932/1992-3252-2023-21-5-7</article-id><article-id custom-type="elpub" pub-id-type="custom">mirtr-2563</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>УПРАВЛЕНИЕ И ЭКОНОМИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MANAGEMENT, CONTROL AND ECONOMICS</subject></subj-group></article-categories><title-group><article-title>Оптимизация лесопромышленных цепочек поставок: математическая модель и анализ региональных источников на примере Приморского края</article-title><trans-title-group xml:lang="en"><trans-title>Optimisation of Timber Supply Chains: Mathematical Model and Analysis of Regional Sources Using the Example of Primorsky Region</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рогулин</surname><given-names>Р. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Rogulin</surname><given-names>R. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рогулин Родион Сергеевич – кандидат экономических наук, доцент кафедры математики и моделирования</p><p> Владивосток</p></bio><bio xml:lang="en"><p>Rogulin, Rodion S., Ph.D. (Economics), Associate Professor at the Department of Mathematics and Modelling</p><p>Vladivostok</p></bio><email xlink:type="simple">rafassiaofusa@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Владивостокский государственный университет экономики и сервиса</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Vladivostok State University of Economics and Service</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>17</day><month>04</month><year>2024</year></pub-date><volume>21</volume><issue>5</issue><fpage>60</fpage><lpage>69</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Рогулин Р.С., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Рогулин Р.С.</copyright-holder><copyright-holder xml:lang="en">Rogulin R.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://mirtr.elpub.ru/jour/article/view/2563">https://mirtr.elpub.ru/jour/article/view/2563</self-uri><abstract><p>Оптимизация поставок сырья тесно связана с проблемами, возникающими на лесоперерабатывающих предприятиях. Оценка оптимальности решений часто становится актуальным вопросом.</p><p>В данной статье рассматривается сценарий работы лесопромышленного предприятия без собственных источников сырья, таких как лесозаготовители, которое стремится найти оптимальное решение на конечном этапе планирования, основываясь на данных о предыдущих сделках. В качестве источника сырья рассматривается товарно-сырьевая биржа, где лоты ежедневно появляются в различных регионах добывающих предприятий в случайном порядке.</p><p>Научная литература предлагает множество методов расчёта оптимальной прибыли на протяжении всего планового периода, но эти подходы не учитывают многие важные особенности лесоперерабатывающих предприятий.</p><p>В данной работе представлена математическая модель, которая позволяет оценить оптимальный путь для значений прибыли на протяжении всего периода планирования. Отличительной чертой модели является учёт доли полезного объёма сырья, который можно использовать в производстве ОСБ-плит после зачисления на склад, а также учет времени доставки лотов в условиях неопределённости.</p><p>После проведения тестирования на данных товарносырьевой биржи России и одного из предприятий Приморского края, модель была применена для расчёта оптимальной траектории прибыли для различных данных, включая объёмы сырья, время доставки лотов и другие важные показатели производства, такие как объём прибыли и объём производства товаров. Анализ результатов выявил сложности в планировании цепочек поставок и объёмов производства. Также проанализированы регионы в качестве источников сырья, определено, из каких регионов и в какой момент стоит закупать сырье. В статье подробно рассмотрены недостатки и преимущества математической модели.</p></abstract><trans-abstract xml:lang="en"><p>Optimising the supply of raw materials is closely related to the problems that arise at wood processing plants. Assessing the optimality of solutions often becomes a pressing issue.</p><p>The article considers the scenario of a forestry plant without its own sources of raw materials, such as loggers, which seeks to find an optimal solution at the final stage of planning, based on data on previous transactions. A commodity exchange is considered as a source of raw materials, where lots appear daily in various regions of logging enterprises in a random order.</p><p>The scientific sources offer multiple methods for calculating optimal profit throughout the entire planning period, but these approaches do not consider many important features of forest processing enterprises.</p><p>This paper presents a mathematical model that allows estimating the optimal path for profit values throughout the entire planning period. A distinctive feature of the model is that it takes into account the share of the useful volume of raw materials that can be used in production of oriented strand boards after being delivered to the warehouse, as well as the delivery time of lots under conditions of uncertainty.</p><p>After testing on data from the Russian Mercantile Exchange and one of Primorsky region enterprises, the model was applied to calculate the optimal profit trajectory for various data, including volumes of raw materials, time of lot delivery and other important production indicators, such as profit volume and volume of goods produced. Analysis of the results revealed difficulties in planning supply chains and production volumes. Regions as sources of raw materials were analysed, and it was determined from which regions and at what point it is worth purchasing raw materials. The article discusses in detail the disadvantages and advantages of the mathematical model.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>цепочки поставок</kwd><kwd>оптимизация решений</kwd><kwd>сырьевая биржа</kwd><kwd>математическая модель</kwd><kwd>оптимальная траектория прибыли</kwd><kwd>доли полезного объёма сырья</kwd><kwd>время лота в пути</kwd></kwd-group><kwd-group xml:lang="en"><kwd>supply chains</kwd><kwd>decision optimisation</kwd><kwd>mercantile exchange</kwd><kwd>mathematical model</kwd><kwd>optimal profit trajectory</kwd><kwd>shares of the useful volume of raw materials</kwd><kwd>lot delivery time</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ghasemy, Y. R. Enhancing supply chain productionmarketing planning with geometric multivariate demand function (a case study of textile industry). Computers &amp; Industrial Engineering, 2020, Vol. 140 (19), 106220. DOI: 10.1016/j.cie.2019.106220.</mixed-citation><mixed-citation xml:lang="en">Ghasemy, Y. R. Enhancing supply chain productionmarketing planning with geometric multivariate demand function (a case study of textile industry). Computers &amp; Industrial Engineering, 2020, Vol. 140 (19), 106220. DOI: 10.1016/j.cie.2019.106220.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Maina, J., Mwangangi, P. W. A Critical Review of Simulation Applications in Supply Chain Management. Journal of Logistics Management, 2020, Vol. 9, pp. 1–6. DOI: 10.5923/j.logistics.20200901.01.</mixed-citation><mixed-citation xml:lang="en">Maina, J., Mwangangi, P. W. A Critical Review of Simulation Applications in Supply Chain Management. Journal of Logistics Management, 2020, Vol. 9. pp. 1–6. DOI: 10.5923/j.logistics.20200901.01.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Brintrup, A., Pak, J., Ratiney, D., Pearce, T., Wichmann, P., Woodall, P., McFarlane, D. Supply chain data analytics for predicting supplier disruptions: a case study in complex asset manufacturing. International Journal of Production Research, 2020, Vol. 58, pp. 3330–3341. DOI: 10.1080/00207543.2019.1685705.</mixed-citation><mixed-citation xml:lang="en">Brintrup, A., Pak, J., Ratiney, D., Pearce, T., Wichmann, P., Woodall, P., McFarlane, D. Supply chain data analytics for predicting supplier disruptions: a case study in complex asset manufacturing. International Journal of Production Research, 2020, Vol. 58, pp. 3330–3341. DOI: 1 0.1080/00207543.2019.1685705.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Dominguez, R., Cannella, S. Insights on Multi-Agent Systems Appli, ations for Supply Chain Management. Sustainability, 2020, Vol. 12, Iss. 5, 1935. DOI: 10.3390/su12051935.</mixed-citation><mixed-citation xml:lang="en">Dominguez, R., Cannella, S. Insights on Multi-Agent Systems Applications for Supply Chain Management. Sustainability, 2020, Vol. 12, Iss. 5, 1935. DOI: 10.3390/su12051935.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Luigi, R., Stamova, I. M., Tomasiello, S. Numerical schemes and genetic algorithms for the optimal control of a continuous model of supply chains. Applied Mathematics and Computation, 2021, Vol. 388, 125464. DOI: 10.1016/j.amc.2020.125464.</mixed-citation><mixed-citation xml:lang="en">Luigi, R., Stamova, I. M., Tomasiello, S. Numerical schemes and genetic algorithms for the optimal control of a continuous model of supply chains. Applied Mathematics and Computation, 2021, Vol. 388, 125464. DOI: 10.1016/j. amc.2020.125464.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">El Raoui, H., Oudani, M., El Hilali Alaoui, A.Coupling Soft Computing, Simulation and Optimization in Supply Chain Applications: Review and Taxonomy. IEEE Access, 2020, Vol. 8, pp. 31710–31732. DOI: 10.1109/ ACCESS.2020.2973329.</mixed-citation><mixed-citation xml:lang="en">El Raoui, H., Oudani, M., El Hilali Alaoui, A.Coupling Soft Computing, Simulation and Optimization in Supply Chain Applications: Review and Taxonomy. IEEE Access, 2020, Vol. 8, pp. 31710–31732. DOI: 10.1109/ ACCESS.2020.2973329.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Alkahtani, M. Mathematical Modelling of Inventory and Process Outsourcing for Optimization of Supply Chain Management. Mathematics, 2022, Vol 10 (7), 1142. DOI: 10.3390/math10071142.</mixed-citation><mixed-citation xml:lang="en">Alkahtani, M. Mathematical Modelling of Inventory and Process Outsourcing for Optimization of Supply Chain Management. Mathematics, 2022, Vol 10 (7), 1142. DOI: 10.3390/math10071142.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Sadeghi, Z., Boyer, O., Sharifzadeh, S., Saeidi, N. ARobust Mathematical Model for Sustainable and Resilient Supply Chain Network Design: Preparing a Supply Chain to Deal with Disruptions. Complexity, 2021, pp. 1–17. DOI: 10.1155/2021/9975071.</mixed-citation><mixed-citation xml:lang="en">Sadeghi, Z., Boyer, O., Sharifzadeh, S., Saeidi, N. ARobust Mathematical Model for Sustainable and Resilient Supply Chain Network Design: Preparing a Supply Chain to Deal with Disruptions. Complexity, 2021, pp. 1–17. DOI: 10.1155/2021/9975071.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Goodarzian, F., Shishebori, D., Nasseri, H., Dadvar, F. A bi-objective production-distribution problem in a supply chain network under grey flexible conditions. RAIRO Operations Research, 2021, Vol. 55, pp. 1287–1316. DOI: 10.1051/ro/2020111.</mixed-citation><mixed-citation xml:lang="en">Goodarzian, F., Shishebori, D., Nasseri, H., Dadvar, F. A bi-objective production-distribution problem in a supply chain network under grey flexible conditions. RAIRO Operations Research, 2021, Vol. 55, pp. 1287–1316. DOI: 10.1051/ro/2020111.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Taghizadeh-Yazdi, M., Farrokhi, Z., MohammadiBalani, A. An integrated inventory model for multi-echelon supply chains with deteriorating items: a price-dependent demand approach. Journal of Industrial and Production Engineering, Vol. 37, pp. 87–96. [Электронный ресурс]: https://www.researchgate.net/publication/303876476_An_Integrated_Location-Inventory_Model_for_Supply_Chain_ Network_with_Correlated_Demand. Доступ 28.05.2023.</mixed-citation><mixed-citation xml:lang="en">Taghizadeh-Yazdi, M., Farrokhi, Z., MohammadiBalani, A. An integrated inventory model for multi-echelon supply chains with deteriorating items: a price-dependent demand approach. Journal of Industrial and Production Engineering, Vol. 37, pp. 87–96. [Electronic resource]: https://www.researchgate.net/publication/303876476_An_ Integrated_Location-Inventory_Model_for_Supply_Chain_ Network_with_Correlated_Demand. Last accessed 28.05.2023.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Flores-Sigüenza, P., Marmolejo-Saucedo, J. A., Niembro-García, J., Lopez-Sanchez, V. M. A systematic literature review of quantitative models for sustainable supply chain management. Mathematical biosciences and engineering: MBE, 2021, Vol. 18, Iss. 3, pp. 2206–2229. DOI: 10.3934/mbe.2021111.</mixed-citation><mixed-citation xml:lang="en">Flores-Sigüenza, P., Marmolejo-Saucedo, J. A., Niembro-García, J., Lopez-Sanchez, V. M. A systematic literature review of quantitative models for sustainable supply chain management. Mathematical biosciences and engineering: MBE, 2021, Vol. 18, Iss. 3, pp. 2206–2229. DOI: 10.3934/mbe.2021111.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Escobar, J. W., Marin, A. A., Lince, J. D. Multiobjective mathematical model for the redesign of supply chains considering financial criteria optimization and scenarios. International Journal of Mathematics in Operational Research, 2020, Vol. 16, Iss. 2, pp. 238–256. DOI: 10.1504/IJMOR.2020.105903.</mixed-citation><mixed-citation xml:lang="en">Escobar, J. W., Marin, A. A., Lince, J. D. Multiobjective mathematical model for the redesign of supply chains considering financial criteria optimization and scenarios. International Journal of Mathematics in Operational Research, 2020, Vol. 16, Iss. 2, pp. 238–256. DOI: 10.1504/IJMOR.2020.105903.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Fierro, L. H., Cano, R. E., García, J. I. Modelling of a multi-agent supply chain management system using Colored Petri Nets. Procedia Manufacturing, 2020, Vol. 42, pp. 288–295. DOI: 10.1016/j.promfg.2020.02.095.</mixed-citation><mixed-citation xml:lang="en">Fierro, L. H., Cano, R. E., García, J. I. Modelling of a multi-agent supply chain management system using Colored Petri Nets. Procedia Manufacturing, 2020, Vol. 42, pp. 288–295. DOI: 10.1016/j.promfg.2020.02.095.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Heydari, J., Rafiei, P. Integration of environmental and social responsibilities in managing supply chains: Amathematical modeling approach. Computers &amp; Industrial Engineering, 2020, Vol. 145, Iss. 1, 106495. DOI: 10.1016/j.cie.2020.106495.</mixed-citation><mixed-citation xml:lang="en">Heydari, J., Rafiei, P. Integration of environmental and social responsibilities in managing supply chains: Amathematical modeling approach. Computers &amp; Industrial Engineering, 2020, Vol. 145, Iss. 1, 106495. DOI: 10.1016/j.cie.2020.106495.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Schroeder, M., Lodemann, S. A Systematic Investigation of the Integration of Machine Learning into Supply Chain Risk Management. Logistics, 2021, Vol. 5, Iss. 3, 62. DOI: 10.3390/logistics5030062.</mixed-citation><mixed-citation xml:lang="en">Schroeder, M., Lodemann, S. A Systematic Investigation of the Integration of Machine Learning into Supply Chain Risk Management. Logistics, 2021, Vol. 5, Iss. 3, 62. DOI: 10.3390/logistics5030062.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Nishanth, B., Priyanka, S., Kannan, V., Muhammad Raheel Basha, A., Dinesh, J., Muruganandham, R., Harish, V. Mathematical modelling of supply chain under current COVID’19 business scenario with the review study on the fuzzy logic based supply chains. European Journal of Molecular and Clinical Medicine, 2020, Vol. 7, Iss. 2, pp. 4972–4981. [Электронный ресурс]: https://ejmcm.com/uploads/paper/73dde990bead52540d9f9726638c2d70.pdf. Доступ 28.05.2023.</mixed-citation><mixed-citation xml:lang="en">Nishanth, B., Priyanka, S., Kannan, V., Muhammad Raheel Basha, A., Dinesh, J., Muruganandham, R., Harish, V. Mathematical modelling of supply chain under current COVID’19 business scenario with the review study on the fuzzy logic based supply chains. European Journal of Molecular and Clinical Medicine, 2020, Vol. 7, Iss. 2, 4972–4981. [Electronic resource]: https://ejmcm.com/ uploads/paper/73dde990bead52540d9f9726638c2d70.pdf. Last accessed 28.05.2023. 17. Saad, E., Fathi Hafshjani, K., Radfar, R. Designing a Multi-Objective Closed-loop Supply Chain Mathematical Model with Supplier Selection Approach and considering Discount. Engineering Management and Soft Computing, 2022, Iss. 8 (2), pp. 43–71. [Electronic resource]: https://jemsc.qom.ac.ir/article_1609_dc0a78aa66f060c25ed1968d95cc 9a34.pdf?lang=en. Last accessed 28.05.2023.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Saad, E., Fathi Hafshjani, K., Radfar, R. Designing a Multi-Objective Closed-loop Supply Chain Mathematical Model with Supplier Selection Approach and considering Discount. Engineering Management and Soft Computing, 2022, Iss. 8 (2), pp. 43–71. [Электронный ресурс]: https://jemsc.qom.ac.ir/article_1609_dc0a78aa66f060c25ed1968d 95cc9a34.pdf?lang=en. Доступ 28.05.2023.</mixed-citation><mixed-citation xml:lang="en">Teixeira, A., Silva, E. C., Lopes, C. A mixed integer nonlinear multiperiod model for supply chain management of a company in the retail sector // RAIRO – Operations Research, 2021, Vol. 55, Iss. 2, pp. 997–1013. DOI: 10.1051/ro/2021048.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Teixeira, A., Silva, E. C., Lopes, C. A mixed integer nonlinear multiperiod model for supply chain management of a company in the retail sector. RAIRO – Operations Research, 2021, Vol. 55, Iss. 2, pp. 997–1013. DOI: 10.1051/ro/2021048.</mixed-citation><mixed-citation xml:lang="en">Nuñez Rodriguez, J., Andrade Sosa, H. H., Villarreal Archila, S. M., Ortiz A. System Dynamics Modeling in Additive Manufacturing Supply Chain Management. Processes, 2021, Vol. 9, 982. DOI: 10.3390/pr9060982.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Nuñez Rodriguez, J., Andrade Sosa, H. H., Villarreal Archila, S. M., Ortiz A. System Dynamics Modeling in Additive Manufacturing Supply Chain Management. Processes, 2021, Vol. 9, 982. DOI: 10.3390/pr9060982.</mixed-citation><mixed-citation xml:lang="en">Rezaei, E., Paydar, M. M., Safaei, A. S. Customer relationship management and new product development in designing a robust supply chain. RAIRO – Operations Research, 2020, Vol. 54, pp. 369–391. DOI: 10.1051/ro/2018107.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Rezaei, E., Paydar, M. M., Safaei, A. S. Customer relationship management and new product development in designing a robust supply chain. RAIRO– Operations Research, 2020, Vol. 54, pp. 369–391. DOI: 10.1051/ro/2018107.</mixed-citation><mixed-citation xml:lang="en">Nezamoddini, N., Gholami, A., Aqlan, F. A riskbased optimization framework for integrated supply chains using genetic algorithm and artificial neural networks. International Journal of Production Economics, 2020, Vol. 225, 107569. DOI: 10.1016/j.ijpe.2019.107569.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Nezamoddini, N., Gholami, A., Aqlan, F. A riskbased optimization framework for integrated supply chains using genetic algorithm and artificial neural networks. International Journal of Production Economics, 2020, Vol. 225, 107569. DOI: 10.1016/j.ijpe.2019.107569.</mixed-citation><mixed-citation xml:lang="en">Cesarelli, G., Scala, A. E., Vecchione, D., Ponsiglione, A., Guizzi, G.An Innovative Business Model for a Multi-echelon Supply Chain Inventory Management Pattern. Journal of Physics: Conference Series, 2021, Vol. 1828, pp. 1–10. DOI: 10.1088/1742-6596/1828/1/012082.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Cesarelli, G., Scala, A. E., Vecchione, D., Ponsiglione, A., Guizzi, G. An Innovative Business Model for a Multi-echelon Supply Chain Inventory Management Pattern. Journal of Physics: Conference Series, 2021, Vol. 1828, pp. 1–10. DOI: 10.1088/1742-6596/1828/1/012082.</mixed-citation><mixed-citation xml:lang="en">Rogulin, R. S., Mazelis, L. S. Algorithm and mathematical model for formation of sustainable supply chains of wood raw materials from Russian regions: comparison and analysis [Algoritm i matematichesaya model formirovaniya tsepochek postavok drevesnogo syriya iz regionov Rossii: sravnenie i analiz]. Perm University Herald. Economy, 2020, Vol. 15, Iss. 3, pp. 385–404. DOI: 10.17072/1994-9960-2020-3-385-404.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Рогулин Р. С., Мазелис Л. С. Алгоритм и математическая модель формирования устойчивых цепочек поставок древесного сырья из регионов России: сравнение и анализ // Вестник Пермского университета. Сер. «Экономика». – 2020. – Т. 15. – № 3. – С. 385–404. DOI: 10.17072/1994-9960-2020-3-385-404.</mixed-citation><mixed-citation xml:lang="en">Rogulin, R. S. Modeling of Promising Interaction Between a Timber Industry Enterprise and a Commodity Exchange in Russia. Journal of Applied Economic Research, 2020, Vol. 19, Iss. 4, pp. 489–511. DOI: 10.15826/vestnik.2020.19.4.023.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Рогулин Р. С. Моделирование перспектив взаимодействия предприятия лесопромышленного комплекса и товарно-сырьевой биржи России // Journal of Applied Economic Research. – 2020. – Т. 19. – № 4. – С. 489–511. DOI: 10.15826/vestnik.2020.19.4.023.</mixed-citation><mixed-citation xml:lang="en">Rogulinn, R. S. A model for optimizing plans for procurement of raw materials from regions of Russia in a timber-processing enterprise. Business Informatics, 2020, Vol. 14, Iss. 4, pp. 19–35. DOI: 10.17323/2587-814X.2020.4.19.35.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Рогулин Р. С. Модель оптимизации плана закупок сырья из регионов России лесоперерабатывающим комплексом // Бизнес-информатика. – 2020. – Т. 14. – № 4. – С. 19–35. DOI: 10.17323/2587-814X.2020.4.19.35.</mixed-citation><mixed-citation xml:lang="en">Rogulin, R. S.The Place of ICT and Enterpreneurship in Forming Sustainable Supply Chains. Economic Policy, 2021, Vol. 16, Iss. 4, pp. 84–103. DOI: 10.18288/1994-5124- 2021-4-84-103.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Рогулин Р. С. Место ИКТ и предпринимательства в формировании устойчивых цепочек поставок // Экономическая политика. – 2021. – Т. 16. – № 4. – С. 84–103. DOI: 10.18288/1994-5124-2021-4-84-103.</mixed-citation><mixed-citation xml:lang="en">Rogulin, R. S. A mathematical model for the formation of the pricing policy and the plan of the production and transport system in a timber-processing enterprise. Business informatics, 2021, Vol. 15, Iss. 3, pp. 60–77. DOI: 10.17323/2587-814X.2021.3.60.77.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Рогулин Р. С. Математическая модель формирования ценовой политики и плана производственнотранспортной системы лесопромышленного предприятия // Бизнес-информатика. – 2021. – Т. 15. – № 3. – С. 60–77. DOI: 10.17323/2587-814X.2021.3.60.77.</mixed-citation><mixed-citation xml:lang="en">Rogulin, R. S. The Role of ICT and Entrepreneurship in Forming Sustainable Supply Chains: Before and After the Covid‑19 Pandemic. Journal of Applied Economic Research, 2021, Vol. 20, Iss. 3, pp. 461–488. DOI: 10.15826/vestnik.2021.20.3.019.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Рогулин Р. С. Роль информационно-коммуникационных технологий в формировании устойчивых цепочек поставок до и после пандемии covid‑19 // Journal of Applied Economic Research. – 2021. – Т. 20. – № 3. – С. 461–488. DOI: 10.15826/vestnik.2021.20.3.019.</mixed-citation><mixed-citation xml:lang="en">Mazelis, L., Rogulin, R. Devising a method for the formation of sustainable chains of supply of raw materials from mercantile exchange to a timber processing enterprise considering uncertainties and risks. EasternEuropean Journal of Enterprise Technologies, 2021, Vol. 5, Iss. 3 (113), рр. 6–18. DOI: 10.15587/1729-4061.2021.242960</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Mazelis, L., Rogulin, R. Devising a method for the formation of sustainable chains of supply of raw materials from mercantile exchange to a timber processing enterprise considering uncertainties and risks. Eastern-European Journal of Enterprise Technologies, 2021, Vol. 5, Iss. 3 (113), рр. 6–18. DOI: 10.15587/1729-4061.2021.242960.</mixed-citation><mixed-citation xml:lang="en">Mazelis, L., Rogulin, R. Devising a method for the formation of sustainable chains of supply of raw materials from mercantile exchange to a timber processing enterprise considering uncertainties and risks. Eastern-European Journal of Enterprise Technologies, 2021, Vol. 5, Iss. 3 (113), рр. 6–18. DOI: 10.15587/1729-4061.2021.242960.</mixed-citation></citation-alternatives></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>
