Engineering Physics Annotation << Back Identification of a Rational Thermophysical Mode of Restorative Repair of a Steel Structure by the Surface-Wearing Method Biryukov M.I., Khvostov A.A., Drozdov I.G., Ivanov A.V., Khaustov I.A. An approach to identifying the optimal thermal mode of restorative repair of largesized steel structures is presented based on a mathematical model of heat exchange and deformation processes, formalization of the topology of the treated areas using a weighted undirected graph, as well as the formulation and solution of an optimization problem on the graph. The total "thermal distance" of the restored surface from the previous processing units, which is a weighted sum of the dimensionless geometric distance and temperature gradient, is used as the maximized objective function. The result of the calculation is a process chart in the form of a Gantt diagram, describing the sequence and duration of processing of each working surface. Keywords: Restorative repair, surfacing, optimization of thermal conditions, mathematical modeling, graph, optimization. DOI: 10.25791/infi zik.2.2025.1460 Pp. 28-38.