On the analysis of the effectiveness of fully redundant systems

The article discusses the reliability of automated systems, the question of the effectiveness of Reliability Improvement by reservation. Action ACS is considered from the point of view of production of a product, in the general case - some tangible results. The phenomenon, which brings the system reliability, the cost of implementing a redundant system, is studied. The actual construction of ACS requires capital costs (economic resources). The effect that increases the degree of redundancy is shown. We study a system with full redundancy, the consumption of resources for their implementation. We reveal the consequences of failure, the transition systems are faulty and dangerous condition caused by the failure of damage. The formula for determining the dependence of the effect on the costs of implementing the system, the damage caused by failure of the system, reliability and redundancy are shown. The above formulas to dependence on a small number of variables are carried out. The graphs showing the changes in terms profitability varying degrees of redundancy, graphs of the relative value of the damage and the relative value of the relative damage and reliability are provided. On the graph it is shown the critical values of the cost of systems with a certain degree of redundancy, reliability and damage, above which the economic effect is negative. It is shown under what conditions it becomes profitable or that the degree of redundancy, the boundary conditions to determine the degree of redundancy, allowing to analyze the effectiveness of control systems.