Simulating the Evaluation of Survivability of Ergatic Systems Based on the Use of Weighted Hypergraphs

Abstract

The paper presents the study on ergatic systems that are applied in those areas where the operator interference in work is a necessary condition for providing the successful functioning. For effective functioning and making an operative solution of emergency situations under current conditions, it is necessary to evaluate the survivability of such systems, namely the ability to maintain a state of operability under destructive influences. The urgency of the problem of assessing the survivability of ergatic systems is determined by the fact that they are widely used in systems of critical application. Their destabilization of functioning leads to significant economic damage and/or negative social consequences. Examples of such systems include control systems of objects of fuel and energy complex, dispatching services of the transport infrastructure, governing bodies of state structures, forces and means of law enforcement agencies. The efficiency of the ergatic system functioning is largely determined not only by the effectiveness of its individual elements, but also by the possibility of their interaction. A weighted hypergraph with vertices that correspond with the elements of the system is proposed as a model of an ergatic system. Here, edges describe the relationship between subsets of elements, vertex weights reflect the functionality of the corresponding elements, edge weights represent the degree of possibility for the interaction among the corresponding elements. The numerical values of the weights are determined in the form of probabilistic, fuzzy or interval estimates. The system functionality is characterized by a set of indicators, the numerical values of which are determined on the basis of mathematical models using the parameters of the graph model of the system described above. The system is considered to be operational if the restrictions on the specified parameters are met. Evaluation of survivability is based on finding the set of allowable deformations of the graph model of the system.