Method maximizing the spread of influence in directed signed weighted graphs

We propose a new method for maximizing the spread of influence, based on the identification of significant factors of the total energy of a control system. The model of a socio-economic system can be represented in the form of cognitive maps that are directed signed weighted graphs with cause-and-effect relationships and cycles. Identification and selection of target factors and effective control factors of a system is carried out as a solution to the optimal control problem. The influences are determined by the solution to optimization problem of maximizing the objective function, leading to matrix symmetrization. The gear-ratio symmetrization is based on computing the similarity extent of fan-beam structures of the influence spread of vertices v_i and v_j to all other vertices. This approach provides the real computational domain and correctness of solving the optimal control problem. In addition, it does not impose requirements for graphs to be ordering relationships, to have a matrix of special type or to fulfill stability conditions. In this paper, determination of new metrics of vertices, indicating and estimating the extent and the ability to effectively control, are likewise offered. Additionally, we provide experimental results over real cognitive models in support

Innovation process and control function in management

Currently, in terms of the need to improve business competitiveness in world markets, the problem of innovative development and the control function of Russian enterprises becomes more relevant. The authors’ approach, revealing the role of management control in solving the problem of innovative development of an enterprise, is presented herein. As the main method of study, the multilevel approach is used, while the innovation process is explored in various representations. As a set of stages from an innovational concept to a market product; as a set of resources and motivations for the participants in an innovational project; as a set of rules and procedures aimed to achieving the goals and requiring constant monitoring. Managerial control is considered as a factor of integration of the conditions required for the successful implementation of an innovative project at the enterprise. For the integrated support of the innovative processes, the enterprise internal control system is proposed, based on the polyadministrative matrix structure and the frame functioning model of the enterprise using information technologies. The systems of internal control during innovative development, which is implemented in different conditions and in different national economic systems, are also considered. The advantages and disadvantages of various approaches to the organization of control over the innovation activity at the enterprise are revealed. The recommendations are formulated to improve the model of internal control in the conditions of innovative development of the enterprise.peer-reviewe