moitvivt Моделирование, оптимизация и информационные технологии Modeling, Optimization and Information Technology 2310-6018 Издательство 10.26102/2310-6018/2026.56.5.005 2245 Формализация механизмов трансформации параметров и минимизация совокупных издержек трансфера в разнородных средах Formalization of parameter transformation mechanisms and minimization of aggregate transfer costs in heterogeneous environments Тихоненко Дмитрий Васильевич Tikhonenko Dmitry Vasilyevich tikhonenk_d@mail.ru aff-1 Козлова Анастасия Васильевна Kozlova Anastasia Vasilyevna ankoz9@yandex.ru aff-2 Алмазова Екатерина Сергеевна Almazova Ekaterina Sergeyevna voln92@gmail.com aff-3 Панченко Вероника Юрьевна Panchenko Veronika Yuryevna moptimo@mail.ru aff-4 Сибирский государственный университет науки и технологий имени академика М.Ф. Решетнева Reshetnev Siberian State University of Science and Technology Сибирский государственный университет науки и технологий имени академика М.Ф. Решетнева Reshetnev Siberian State University of Science and Technology Сибирский государственный университет науки и технологий имени академика М.Ф. Решетнева Reshetnev Siberian State University of Science and Technology Сибирский государственный университет науки и технологий имени академика М.Ф. Решетнева Reshetnev Siberian State University of Science and Technology 01 01 2026 1 1 10.26102/2310-6018/2026.56.5.005 Copyright © Авторы, 2026 2026 This work is licensed under a Creative Commons Attribution 4.0 International License

В современной науке процессы передачи материальных, информационных и правовых объектов зачастую рассматриваются изолированно, что препятствует выявлению универсальных закономерностей их функционирования и затрудняет оценку совокупных издержек трансфера в разнородных системах. Целью данной работы является разработка единого математического аппарата для описания и оптимизации процессов перехода сущностей различной природы между агентами. Исследование базируется на методах системного анализа и математического моделирования, в рамках которых была проведена классификация структурных подобий (изоморфизмов) в логистических, правовых и информационных процессах. Для формализации воздействий внешней среды использован метод группировки факторов по девяти базовым механизмам трансформации параметров: времени, стоимости, надежности и структурной сложности. В результате работы создана универсальная модель, позволяющая количественно оценивать сопротивление среды через аппарат бинарных флагов чувствительности. Разработан двухэтапный алгоритм оптимизации, реализующий предварительную фильтрацию траекторий по расчетному порогу надежности и последующий поиск минимума целевой функции совокупных издержек. Практическая значимость результатов заключается в возможности обнаружения скрытых потерь ресурсов и временных лагов, которые не фиксируются традиционными узкоспециализированными методами анализа. Предложенный подход позволяет проектировать устойчивые системы трансфера, обеспечивая баланс между скоростью передачи сущности и безопасностью процесса в условиях динамически меняющейся среды.

In modern science, the processes of transferring material, information, and legal objects are often considered in isolation, which prevents the identification of universal patterns of their functioning and complicates the assessment of aggregate transfer costs in heterogeneous systems. The aim of this work is to develop a unified mathematical apparatus for describing and optimizing the processes of transition of entities of various natures between agents. The research is based on the methods of systems analysis and mathematical modeling, within which a classification of structural similarities (isomorphisms) in logistical, legal, and information processes was carried out. To formalize environmental influences, a method of grouping factors into nine basic parameter transformation mechanisms was used: time, cost, reliability, and structural complexity. As a result of the work, a universal model was created that allows for the quantitative assessment of environmental resistance through the apparatus of binary sensitivity flags. A two-stage optimization algorithm has been developed, implementing preliminary filtering of trajectories by a calculated reliability threshold and a subsequent search for the minimum of the aggregate cost objective function. The practical significance of the results lies in the possibility of detecting hidden resource losses and time lags that are not captured by traditional highly specialized analysis methods. The proposed approach allows for the design of resilient transfer systems, ensuring a balance between the speed of entity transmission and process safety in a dynamically changing environment.

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The authors declare that there are no conflicts of interest present.