The purpose of the research is to reveal current trends in modeling the location of new catering establishments in the study area. The relevance of research in the article is determined by the development of the tourism industry. This applies to catering establishments operating in the lower price category. Such catering establishments include fast food restaurants. The article proposes to use geographic information systems for spatial analysis using software. The researchers used ArcGis software, which allows you to visualize the results of the analysis. Visualization of the results will allow to make the necessary decision on the location of catering establishments. The research was conducted on the example of the Industrialny District of Kharkiv. Analysis of geostatic models can be used to process statistical data in any locality by using a geostatistical method to convert data from a discrete view to a permanent representation. With the help of geostatistics methods, data from a discrete form are transformed into a continuous form. Researchers present mathematical formulas for determining the index of concentration of the actual population in a given area or the projected index. These indicators can be determined on the basis of data obtained during the research. Indicators are presented using elements of the ArcGis software package in discrete form and permanent form. In the research the model of optimization of placement of public catering establishments was developed. It is proposed to place twelve new catering establishments in the studied area of the city with the exact indication of their location. The scientific conclusion of the study will further improve the service to the local population and the promotion of the city of Kharkiv as a object of tourism. The principle of developing a digital map and geodatabase is effective to address issues related to tourism infrastructure, so the developed model can be used in other cities. Further research in this direction may be related to improving geostatistic analysis of data and taking into account more factors..

Due to the great importance of geodetic networks for the formation of a unified coordinate system on the territory of Ukraine, external geodetic signs have been established, which need to be restored and further developed. At the design stage, the calculation of the heights of geodetic signs is performed on topographic maps. The cost of erection of geodetic signs on average is 50 - 60% of the total cost of creating a geodetic network, so there is a need to pay close attention to the choice of places to build signs that provide their optimal height. The article presents a methodical approach to determining the heights of external geodetic signs, based on the mathematical apparatus used for modeling and solving optimization problems. The principle of construction of the optimization model of the problem during the design of external geodetic signs in the conditions when their direct visibility should be provided is considered. The article considers in detail the types and structures of external geodetic signs, identifies the features of their location and construction. The resulting optimization model includes objective function, which is a quadratic form, and line restriction. This model is a model of quadratic programming, that belongs to a class of nonlinear programming models, but have their particular case and the simplest of nonlinear. This is because property quadratic model, which consists in the fact that since the problem of quadratic programming set of feasible solutions is convex, then, if the objective function is concave, any local maximum is global, and if the objective function is convex, then any local minimum is also global. The necessity of solving the problem of optimizing the heights of geodetic signs is substantiated, which is still connected with the financial costs for their construction and reconstruction. It is concluded that the approach to determining the heights of external geodetic signs presented in the article, which uses a mathematical apparatus for solving optimization problems, is an effective and efficient approach, and allows to numerically justify the minimum required and sufficient height of external geodetic signs. Using the present approach to the determination of geodetic heights external signs to optimize the financial costs of their construction, which is essential.

The article considers the current problem of creating three-dimensional architectural models to restore the original appearance of buildings or preservation of architectural monuments using the latest technologies and geographic information systems. The aim of the article is to study and analyze strategies for creating three-dimensional models with their subsequent import into the geoinformation space. The authors consider in detail the advantages and disadvantages of the main modeling strategies – manual creation of models in specialized programs, fully automatic generation of three-dimensional models and semi-automatic creation of models. The authors of this study solve the following tasks: the definition of software that can be used to solve problems of three-dimensional modeling and subsequent placement of the model in the geographic information system. Methods are proposed to solve this problem – using the capabilities of two different programs. Namely, Sketch Up Pro for creating three-dimensional models of buildings and ArcGIS Pro for presenting the model on the map. The process of creating a photorealistic model was divided into six stages. The final stage of modeling should be the stage of adding textures that best match the used building and finishing materials for facades. The article uses a method – geoinformation three-dimensional modeling of architectural structures. As a result of the study, the authors proposed to place the created three-dimensional model of the building on a geographic information map using ArcGIS Pro software. This allows you to import * .3ds files and simulates a flyby around the imported model. Such capabilities of the chosen geographic information system will help to reproduce the damaged architectural structures more accurately as a result of hostilities and preserve architectural monuments and historical heritage.

At present, there is a transition from automated design to information modeling in the road industry. The paper submitted by of using modern software to support the design and operation of railway networks based on materials of geodetic support is carried out in the research. When conducting research is using the scientific methods: measurement, analysis, information modeling. The paper presents an overview of results of the formation of geodetic support of railway routes on the example of real projects. On this basis, by means of geoinformation support was created in the form of conceptual information model of the railway network of Ukraine. The model can be used to solve logistical problems in the field of rail transportation. This module provides a number of opportunities to analyze existing road networks and to design new ones. Results are presented with the help of Topomatic Robur and ArcGIS software systems, in which plans and models of railway networks are developed. Also, the conceptual characterization of the use of geoinformation data in solving the logistic problems of transportation is given. An example is given analyze problem of damage or overlap of the railway track section on the route and to predict an alternative route between the cities of Kharkiv and Odessa.

The article reviews the scientific literature on the study of factors in the development of construction markets. The analysis of trends in the development of the construction market in Ukraine was carried out, according to the results of which it was established that this market is rapidly developing today. The structure of the completed construction work has been investigated, as a result of which it has been established that in recent years there has been an increase in the share of construction of engineering structures. In the structure of work on the construction of buildings, the share of construction of non-residential objects is growing, and the share of residential construction is decreasing. A hypothesis about the structure of factors influencing the development of the construction market is considered. Selected factors are systematized into categories such as financial, economic and social. The results of the correlation analysis of factors influencing the development of the construction market are presented. It was found that such factors as average wages, incomes and expenses of the population, gross domestic product, index of construction products and population size have a high level of correlation between the resulting indicator of the development of the construction market. Correlation analysis of selected factors showed a close correlation between them and the resulting indicator of the construction market. Conclusions are drawn and prospects for the development of the research are determined. According to the results of the study the goals and objectives of further study of the factors of development of construction markets are determined. This is a key decision in developing a strategy for development over a long period of time.