In this article, we propose an approach to the forming of rational technology for the export cargoes delivery in the supply chain on the principles of co-modality in the context of effective interaction of delivery participants, which allows reducing the costs of all them through the optimal use of resources related to delivery and increasing the competitive advantages of products. Taking into account the strengthening of cooperation between road and rail transport, under modern conditions, combined transport within the international transport corridor is proposed as an alternative option to promote cargo flow in the supply chain. As a result of experimental studies carried out on the basis of the simulation model of the delivery process in the Petri Nets, the time characteristics of technological processes under alternative schemes depending on the input parameters of the model have been determined. A comparative assessment of alternative delivery schemes based on mathematical models has made it possible to establish that the rational scheme for the delivery of export cargo from Ukraine to Germany via the Pan-European Corridor III is the Rolling Highway technology, which ensures compliance with the cargo owner's requirements for delivery time and cost established by the contract. The proposed approach is recommended as a tool for making managerial decisions when planning and organising the delivery of export cargoes from Ukraine to the EU countries in order to effectively manage supply chains by minimising the cost of delivery and environmental damage.

The formation of a rational route network contributes to the timely and uninterrupted delivery of products and more efficient interaction of supplier organizations, recipient organizations and trucking organizations. However, at present, the issues of increasing the level of customer service, which in market conditions are closely related to the problem of service and quality of service, are becoming increasingly important. The quality of transportation should be understood as the ability of the trucking industry to meet the needs of enterprises and the public in transport services with minimal costs. Thus, there is a question of forming a rational route network, which would improve the quality of customer service with minimal costs. The use of economic and mathematical methods and information technologies in the formation of a rational route network allows to obtain a synergistic effect, namely by reducing overall costs, improve the quality of service. The formation of a rational route network according to the proposed algorithm allows to determine the cost of delivery of goods and the level of service of cargo owners with the specified number of dispatchers and cars at the enterprise and provide companies with practical recommendations on the number of dispatchers and cars needed to meet customer needs. service.

Developing a model of the customs cargo handling process that allows making sound technological, design, and management decisions, changing input parameters, and carrying out long-term planning based on information on the occupancy of control points, customs zones of the border customs office, customs teams, throughput capacity of checkpoints, technical means of customs control and communication, types of customs regimes, and standardisation of the duration of all components of customs cargo handling. To develop a model of the customs cargo processing process, it is advisable to use systems of parallel information processing and parallel operation of objects, which include, for example, modelling with the help of Petri nets. The model developed on the basis of Petri nets for describing the customs cargo handling process shows that, in addition to being clear and easy to use, it makes it possible to take into account various probabilistic factors. Having developed a mathematical model of customs processing of cargo when vehicles cross the state border, it can be concluded that along with technological operations (time for customs clearance at the internal customs, time for customs procedures at the checkpoint), there are non-productive operations - downtime (time for waiting for customs clearance at the internal customs, time for waiting for customs procedures at the checkpoint), which significantly affect the time of customs border crossing. The mathematical apparatus of Petri nets will allow to study the dynamics of the system under study and its behaviour under different initial conditions. It has been found that the number of customs control and customs clearance officers has the greatest impact on the time of customs processing of goods; By building a mathematical model based on Petri nets, an effect of 1.11% was achieved. As a result of applying the developed mathematical model of the customs cargo processing process, an effect of 42 minutes was obtained.