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Information × Registration Number 0226U003471, (0124U001794) , R & D reports Title Mathematical and computer modeling of dynamic processes in complex systems with optimal parameters popup.stage_title Розробити, теоретично обгрунтувати та програмно реалізувати математичні моделі динамічних процесів у зв’язаних системах з оптимальними параметрами. Head Legeza Viktor P., Registration Date 08-04-2026 Organization National Technscal University of Ukraine "Kiev Polytechnic Institute". popup.description1 Develop, theoretically substantiate and programmatically implement mathematical models of dynamic processes in connected systems with optimal parameters popup.description2 A series of studies (2024–2025) introduced extended gravity models for optimal placement of service facilities and civil protection shelters. The research demonstrated that combining gravity-based approaches with intelligent data processing significantly improves the accuracy of spatial forecasting and supports well-balanced planning of urban systems. In collaboration with the authors V. Legeza, L. Oleshchenko and A. Dychka, geodesic curve simulation on transcendental surfaces with cycloidal generatrices was conducted, providing important theoretical results for geometric modelling, navigation tasks, and optimization of curved surfaces. The monograph “Mathematical Methods and Information Technologies for the Optimization of Intercity Passenger Transportation” presents new mathematical models for passenger-flow forecasting, transport resource optimization, and GIS-based decision support. The integration of deep learning methods, including LSTM networks, improves prediction accuracy and supports adaptive transport management. Two software systems were developed. HuffShelter implements the Huff gravity model for optimized placement of civil protection shelters using intelligent spatial data analysis, API-based data retrieval, and interactive visualization. OptiBusManager integrates LSTM-based passenger flow forecasting with MILP route optimization and real-time fleet management in a microservices architecture. Product Description popup.authors Liubov M. Oleshchenko Oleksandr М. Neshchadym popup.nrat_date 2026-04-08 Close