## 3 Results  
At the first stage of research, as a result of modeling the data array, it was possible to determine the parameters of temperature fields for a given balcony unit (Figure 1a) in frame-stone buildings. It has been established that a balcony slab without thermal insulation, including walls, exhibits properties in which a cold bridge with subzero temperatures penetrates through the slab into the interior of the room (Figure 5). Thus, condensation may form in the internal parts of the room during the cold season at ambient temperatures as low as \(-18\)\({}^{\circ}\)C.  
Further modeling, in which the balcony slab was insulated along the entire perimeter but without insulation on the open edge of the slab, showed that the cold bridge in the balcony slab with thermal insulation occurs at a considerable distance from the outer wall of the building (Figure 6). Temperature fields were simulated at various distances from the wall with and without end insulation. Figure 5: Balcony slab (left) without thermal insulation, including walls: “cold bridge” with negative temperatures (blue color) penetrates the slab and ceiling into the room. Figure 6: Temperature field inside the slab without end insulation (balcony slab on the right). The obtained research results and analysis of temperature fields propagating through a monolithic balony slab made it possible to determine the optimal distance and thickness of the balcony insulation from the building wall. For this particular balcony unit in a frame-brick house, the optimal size of insulation from the outer wall is 750 mm, with a top insulation thickness of 30 mm and a bottom insulation of 50 mm, as shown in Figure 7.  
This insulation will prevent cold bridges from moving into the interior and thus eliminate the occurrence of mold, mildew, and other problems in critical areas. This insulation technology is relevant for modern multistory buildings with nonstandard volumetric and architectural solutions, which are built using frame-brick, frame-monolithic, or monolithic schemes without thermal breaks between the balcony slab and the monolithic floor slab, with open balconies, bay windows, or open loggias. As a result of optimization, while ensuring the specified quality parameters (excluding freezing of the balcony slab into the room), the insulation area of the balconies was 712.8 m\({}^{2}\) instead of the designed 2210 m\({}^{2}\). In the next stage, the experimental statistical modeling of organizational and technological factors was carried out. The duration of work on insulating the external structures of the building was taken as an indicator. As stated earlier, the balcony slab must be completely insulated along the entire perimeter for heat loss reduction, following the requirements of regulatory documents. However, the modeling results of the previous stage made it possible to select the optimal insulation parameters for the balcony slab. At the same time, the influence of the above optimization of insulation of balcony slabs on reducing the external structure's insulation volume was taken into account. When interpreting the modeling results, the principles of technical and economic efficiency of construction and installation work were taken into account. The criteria used in the study using experimental statistical modeling, based on which the results will be proposed and interpreted, include minimizing the duration of installation of facade insulation and balconies with stucco finishes. Let us consider diagrams of the \"triangles on a square\" type. As shown by the calculation results performed in the Compex program, the relative deviation of DELT is on average 0.002, which causes a small experimental error \(\mathbf{N_{e}}=1.7737\). This, in turn, requires conducting research with sufficiently high measurement accuracy.