Purpose. In many cases, during engineering calculations and design, it is necessary to assess the stability of the built-up area, especially located near slopes. To carry out a critical review of methods for calculating the stability of landslide-prone slopes. Methodology. Variants of methods for calculating the stability of slopes by different authors have been considered. There are many methods for calculating the stability of slopes, all of them are reduced to three basic classes of methods: limit equilibrium methods; finite element method; combined methods. During stability testing, the most common engineering methods are based on force diagrams of the balance of soil massifs. One of the most important issues in the calculation of stability is the correct choice of the surface on which the displacement of the soil is possible. Findings. The choice of certain methods is primarily determined by the type of shearing process and the mechanism of possible displacement of shearing masses. Each original method of calculation is characterized by its original system, obtained in this method using one or another assumption, the necessity of which is related to the static uncertainty of the task. Originality. Formulas for determining the factor of slope resistance are given for practical use. The analysis of the stability of the landslide slope with the involvement of calculation methods is performed as a component of a comprehensive engineering and geological assessment and forecast of the stability of the landslide slope in natural conditions and considering its intended use. Practical value. In project practice, engineering methods for calculating slope stability are used, which contain various simplifying assumptions. The most common of them is the method of round-cylindrical sliding surfaces, which belongs to the planar problem scheme. Determination of the stability factor is a necessary condition for concluding that the slopes can be used for construction.

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Purpose. The issue settlement of building production optimizing for contracting companies is an urgent task and is becoming more acute with regard to the current dynamic transformations in building market in context of Ukrainian regions. Methodology. The leading role of optimization models lies in discretization and modernization to organizational processes of building production for contracting companies, which are the basic structures for delivery of completed building projects. The study focuses on determination of need to optimize building processes and analysis of calculating concept the implementation efficiency of optimization models in contracting company. Findings. It has been considered the current state of domestic building market on the basis of analytical and statistical data; established that conjuncture of building markets has average, mainly low competitiveness indicators, there is a non-rhythmic development and formation of domestic building sector. Originality. Analytical and theoretical foundations were developed for actualization and conceptualization to implementation of optimization models and development of fundamentally new ones. Practical value. The theoretical and methodological foundations of analysis are scientific impetus to the practical formation of innovative approaches to organization of building production at the current stage of building market development in Ukraine.

Purpose. Analysis of the methods of stability calculating of landslide slopes and their further development in European normative documents. Methodology. Variants of methods for calculating the stability of slopes by different authors are considered. Various definitions of the functional were adopted in variational methods, and then the minimum was found. In M. M. Gersevanov’s method, the functional was the sum of horizontal forces that acted on an array of hypothetical soil. In the method of Y. I. Solovyov, the functional is the ratio of the work of the forces that maintain the slope to the work of the forces that shift to the movement. In Kopashi’s method, it is the sum of vertical loads that act on the sliding surface in a loose medium. In the abbreviated Terzaghi’s method, the minimum ratio of the moment of the holding forces to the moment of the forces that shift the slope is sought. Findings. Domestic and foreign scientists have successfully studied the strength and stability of slopes. This is a complex task determined by the need to simultaneously take into account two main factors: relief and gravitational force. The basis for determining the stability of slopes is the idea that the stressed state of rocks in the upper part of the earth’s crust is formed by universally acting gravitational and tectonic forces. The relief of the earth’s surface makes a significant contribution to the redistribution of stresses. Originality. Eurocode 7 recommends the possibility of performing a preliminary calculation of the natural slope using characteristic values, which gives an approximate idea of ​​the value of the overall reliability factor before the start of design. Practical value. Areas located directly on slopes are often used as construction sites. The bases for the foundations of buildings and structures are soil massifs that are in difficult engineering and geological conditions. Landslides are a geological process that occurs on any part of a slope or slope as a result of a disturbance in the balance of rocks when the steepness of the slope increases as a result of water washing, the weakening of the strength of rocks due to weathering or rewetting by precipitation and groundwater, the effect of seismic shocks, construction and economic activities of people. Determining the stability factor is a necessary condition for concluding that the slopes can be used for construction.