The paper considers a game-theoretic model for supporting the distribution of labor resources, i.e. To simulate the problem considered in the work, the mathematical apparatus of game theory was used. In this paper, two algorithms for constructing a solution are described and examined in detail for two models of transport tasks used to study the distribution of labor resources: static and dynamic. The authors describe the developed models, and then consider the structure of the solution to the problem. The paper considers a compromise solution in the models of the distribution of labor resources for the transportation problem. An algorithm for finding a compromise set and a description of the structure of the software implementation of models is given. The description of the models is formalized in the field of application to game theory, i.e., a game version of the problem is considered. Interpreting the problem, we consider a system consisting of players. Players in the constructed model strive, in addition to maximizing profits, to achieve a compromise between the participants. The role of compromise will be played by a plan of movement of labor resources, satisfying all participants. As a result, we obtain the transportation problem in a slightly modified formulation. These differences specify a new task and set a goal to solve it.
Keywords: modeling, analysis, management, software implementation, game-theoretic models, distribution of labor resources
The authors propose the implementation of a mathematical model in the form of an information module. The mathematical model is a problem of nonlinear programming, the solution of which allows to optimally distribute the labor resources on the basis of statistical data and economic indicators. The process of solving the optimization problem is automated with the help of the developed web service of interactive analysis and forecasting of the distribution of labor resources of the enterprise, industry, region and the country as a whole. The information module is a web service that allows you to analyze the distribution of labor resources online and offline. The example of the analysis of labor resources of Stavropol region is given.
Keywords: labor resources, analysis, forecasting, information module
In this paper discussed the main problems when choosing the optimal reservation of information systems. The algorithm of optimization of redundant information systems. Defines the basic concepts of developing mathematical models of redundant information systems. Given and illustrated by an example of calculation of the main reliability characteristics of a redundant information system.
Keywords: mathematical model, simulation, redundancy, information system