Abstract

This collection of scientific papers from the KMOCS-2025 conference represents a comprehensive exploration of contemporary approaches in mathematical modeling, optimization, and artificial intelligence across multiple engineering and technological domains. The proceedings are organized into three thematic sections that collectively demonstrate the interconnected nature of modern computational science. The first section focuses on perspective directions in mathematical modeling, featuring research on multiphysics modeling in aerospace structural design, vibration resistance of reinforced cylindrical shells, stability analysis of hollow shells under thermal loads, heat and moisture regenerators, sloshing dynamics in partitioned tanks, and crack propagation in energy machinery structural elements. Papers also address mathematical models for predicting thermal fields, processing big data in distributed information systems, and modeling control systems using ECAD tools. The second section presents models and optimization methods, covering topics such as computational thermodynamic-kinetic simulation of vacuum steel refining, optimization of combined heating systems, investment portfolio distribution, routing optimization with spatial and weight constraints, and discrete Fourier transform applications in digital image processing. Special attention is given to hybrid evolutionary algorithms for discrete optimization problems under uncertainty, predictive analysis for electricity consumption regulation, and resource allocation in project management. The third section explores artificial intelligence models and methods, including YOLO neural networks for plant growth monitoring, fuzzy logic applications in blockchain network monitoring, explainable decision support systems integrating human expertise with computational insights, reinforcement learning for UAV coverage path planning, and physics-informed neural networks for solving multidimensional dynamic problems. The section also covers predictive analytics for stochastic processes, ontological approaches in intelligent hardware-software systems, semantic segmentation of digital images, gesture recognition in real-time, and post-quantum encryption algorithms.