One approach to the quantitative study of the safety of complex engineering systems

The paper presents one of the possible methods for the quantitative determination of the safety performance of complex engineering systems. The method is based on the assumption that the operating time of the system (its components) to failure and the magnitude of damage to which results are indicative of a failure of the two-dimensional distribution. In an example of the two-dimensional exponential distribution wherein in a case where value "C" safety period t and damage costs are independent, and each of these random variables has an exponential distribution with parameters a and beta respectively. As a result, the work received a number of dependencies and calculations showing the results of the proposed method.