Lesnoy Vestnik / Forestry BulletinLesnoy Vestnik / Forestry BulletinЛесной вестник / Forestry Bulletin2542-1468Eco-Vector70671510.18698/2542-1468-2024-6-139-148Forest engineeringЛесоинженерное делоResearch ArticleMathematical model of optimal formation of raw material supply chains and production volumes with cutting technology at wood enterprisesМатематическая модель оптимального формирования цепочек поставок сырья и объемов производства с технологией раскроя на лесопромышленных предприятияхRogulinRodion S.РогулинРодион Сергеевич
Russian Federation

Cand. Sci. (Economic), Associate Professor

канд. экон. наук, доцент кафедры «Математика и моделирование»

rafassiaofusa@mail.ruVladivostok State UniversityФГБОУ ВО «Владивостокский государственный университет»151220242861391482404202624042026Copyright ©; 2024, Rogulin R.S.Copyright ©; 2024, Рогулин Р.С.2024Rogulin R.S.Рогулин Р.С.https://creativecommons.org/licenses/by/4.0https://journals.eco-vector.com/2542-1468/article/view/706715

Important aspects related to the issues of forming supply chains and production volumes at wood enterprises with the most common production technology of cutting of incoming raw materials are considered. The main emphasis is placed on the issue of assessing the optimality of the decisions made. The study focuses on timber processing enterprises without their own sources of raw materials, which try to find an optimal solution at the end of the planning horizon on the basis of data on realized transactions at the commodity exchange. A mathematical model has been developed that takes into account the technology of cutting incoming raw materials, the time of lots in transit and uncertainty factors. Testing of the model on the data of the exchange and the enterprise in Primorsky Krai allowed to determine the optimal trajectory of profit, production volume and other important indicators. The issues of supply chain and production volume planning are considered. Regions — sources of raw materials are analyzed. Advantages and disadvantages of the presented mathematical model are given. It is shown that the developed model can serve as a basis for rational raw material transactions and be of interest to the top management of timber enterprises seeking to improve the efficiency of their activities.

Рассмотрены важные аспекты, связанные с проблемами формирования цепочек поставок и объемов производства на лесоперерабатывающих предприятиях с наиболее часто встречающейся технологией производства — раскрой поступающего сырья. Основной акцент делается на проблеме оценки оптимальности принятых решений. Исследование фокусируется на лесопромышленных предприятиях без собственных источников сырья, которые стремятся найти оптимальное решение в конце горизонта планирования на основе данных о реализованных сделках на товарно-сырьевой бирже. Разработана математическая модель, учитывающая технологию раскроя поступающего сырья, время лотов в пути и факторы неопределенности. Тестирование модели на данных биржи и предприятия в Приморском крае позволило определить оптимальную траекторию прибыли, объема производства и других важных показателей. Рассмотрены вопросы планирования цепочек поставок и объемов производства. Проанализированы регионы — источники сырья. Приведены преимущества и недостатки представленной математической модели. Показано, что разработанная модель может служить основой для рациональных сырьевых сделок и представлять интерес для топ-менеджмента лесопромышленных предприятий, стремящегося повысить эффективность их деятельности.

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