The problem of solving complex and demanding tasks of production engineering is discussed. The complexity of the methods used in the solution of such tasks requires significant computational resources. It is proposed to use the widespread personal computers, combined into a single computer network on the basis of Grid technology. However, the informal aspect is the choice of an effective structure of such a system. It is proposed the complex of mathematical models for assessing performance and reliability of Grid systems and the corresponding problem of selecting its effective structure. On the basis of the proposed models the decision support system for the Grid systems formation is developed. To solve optimization problems arising in the ...