The implementation of market mechanisms in the transport and logistics system of the railway industry contributes to the development of competitive relations between market participants and stimulates the search for new ways to gain a competitive advantage. Technological outsourcing of industrial enterprises can strengthen the position of operator companies in the market and increase the efficiency of organizing the movement of car traffic on the railway network by redistributing responsibilities in the supply chain. Possible options for organizing interaction between operator companies and industrial enterprises and a model for organizing technological outsourcing are considered. The general structure is represented schematically in a graph formulation by bipartite graphs with various types of one-to-one, one-to-many relationships. Optimization mathematical models of the logistics of such interaction with different levels of generalization in nonlinear and combinatorial formulations are presented, adequately reflecting the practice of using technological outsourcing.

Keywords: Transport and logistics systems, technological outsourcing, operator activity, one-to-one, one-to-many interaction mechanism, linear integer programming

Agents of the transport and logistics market (TLM) in the implementation of their activities implement solutions aimed at maintaining and developing their position in the market through active interaction with counterparties (cooperation, diversification of capital and activities) in changing environmental conditions. The limited volume of transport services and changes in its structure require formalization and systematization of possible actions of agents. The paper provides an analysis of the factors influencing the activity of TLM agents, their formalization and schematic solutions for the implementation of their activities.

Keywords: transport and logistics market, activity, market agent, stability, formal model, efficiency indicator, profitability of services, logistics chain, volume of transport work, railway transport