In the dissertation, a mathematical model of the task of organizing the provision of material resources of construction objects was created, taking into account the influence of deterministic and non-deterministic factors on transportation time. The developed algorithm of the problem allows you to physically assess the dependence of the amount of downtime of a transport or construction organization on the time of delay during the transportation of material resources. In order to take into account additional costs, from the influence of deterministic and non-deterministic factors in the design and estimate documentation, it was proposed to add the developed algorithm for determining the objective function for the supply of material resources from the material base to the construction object and their use, in Chapter 9 of the design and estimate documentation. The work analyzes the existing random factors that affect the time of transportation of material resources, namely, the concepts of deterministic and non-deterministic factors are defined. After analyzing the deterministic factors, they were classified into three types: • Factors depending on the parameters of the transportation route (route length, route type, road characteristics, etc.); • Factors depending on the vehicle, which in turn affects the choice of the transportation route (dimensions of the vehicle, its speed, cargo capacity, etc.); • Factors that affect the time of transportation and do not depend on the route of transportation and the vehicle. An analysis and classification of non-deterministic factors affecting the time of transportation and use of material resources was also performed: • Stochastic factors – factors that cannot be predicted in advance, that is, factors that are completely random (breakdowns, accidents, etc.); • Statistical factors – factors that are determined by the results of testing a certain model or random experiments, during which obstacles and errors arise, which are observed (weather, traffic jams, etc.); • Interval factors – factors that are declared at a certain interval (current repairs, etc.); • Unclear factors – factors about which information is known only from certain cases or given by certain experts, based on known sources or on their own survey. In order to establish the necessary parameters of the initial data for the development of a mathematical model of the task of organizing the supply of material resources, an analysis of the construction industry was performed. It was established that the construction industry, as a separate species, has its own peculiarities in the transportation and use of material resources (continuous supply of material resources, a special type of vehicles, large-sized structures, work in all seasons, etc.). All this imposes quite large restrictions on the use of existing models of vehicle routing problems. As a result of defining the features of the construction industry, the concept of linear and non-linear programming of vehicle routing problems was defined. Different types of tasks for the supply of material resources were considered both in a linear and in a non-linear setting. It was established that the existing problem models cannot fully cover the peculiarities of the construction industry, and therefore cannot be used in determining the cost of transportation and use of material resources. In the scientific work, an analysis of existing regulatory documents was performed to determine the initial data included in the target function for the transportation of material resources, from the material base to the construction object, and their use. After that, a project schedule was drawn up for the supply and use of material resources from the supplier to the consumer. Taking into account the peculiarities of the construction industry, it was established that the schedule of supply and use of material resources is limited by the maximum and minimum time of their transportation. To take into account the influence of deterministic and nondeterministic factors on the time of transportation of material resources, two changes, ±φ(Т) and ±ω(T), were introduced into the mathematical model. The variable ±φ(T) reflects the influence of random factors on the process of transporting material resources by the transport organization, and the variable ±ω(T) reflects the influence of random factors on the process of using material resources by the construction organization. With the help of variables, a set of points of supply and use of material resources was determined, and four possible cases of intersection of the schedules of supply and use of material resources were established: 1. Supply and start of use of material resources was completed earlier than the design time; 2. Supply and start of use of material resources came later than the project time; 3. The supply of material resources was completed earlier than the design time, and the time of starting the use of material...
