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Моделирование транспортно-логистических систем и исследование их структурной устойчивости.
An important parameter of the transport and logistics task is the structural stability of the system to external influences. In modern literature, the concept of structural stability is defined in its own way for each individual task, as a result of which there are difficulties in applying the developed methods to new problems. The transport and logistics system is described using graph theory tools. The impact on the system is represented by elementary events over the graph, including their superposition. The concept of structural destruction of a graph is used, which implies a partition of the graph into disconnected components. It is required to find the optimal solution to the combined transport and logistics problem - the search for flows and routes. To compare the obtained solutions, an efficiency coefficient is proposed. The impact of structural changes in the problem is assessed using a special coefficient reflecting the change in solution after changes in the graph. A computer simulation of structural destruction on random sets of values was carried out. As a result of a series of experiments, the distribution of a special coefficient for elementary fracture processes was established, an interval of permissible values corresponding to a stable state of the system was proposed. The results can be used at the stage of designing transport and logistics networks.