Method of analysis of functional vulnerability of flow network systems

Mathematical methods of analysis of network systems for transfer of streams of interchangeable products to various users are considered. For description of processes occurring in the system, the model of single-product flow network is used. Changes of functional characteristics of a system after the targeted destroying effects are studied according to the methodology of an operations research. The method of obtaining guaranteed damage estimates for each of the equal users of the complete destruction of the physical and logical elements of the system is proposed. The estimates are based on the solution of the sequence of vector optimization problems with lexicographic minimax criterion. To determine the strategy of flow distribution, a posteriori information about changes of network's capacity is used.