The article is dedicated to famous Lviv residents, the author of the Monte Carlo method, and mathematician Marco Katsu. The method of Monte Carlo methodical algorithms for modeling statistical regularities of light passage through optically inhomogeneous media is briefly described in the article
Aim. To develop an approach for adequately formalizing and calculating reliability using a dynamic fault tree for a two-component system as an example, taking into account the short-term mode of operation of one of the system component. Method. A k-terminal dynamic fault tree is used to formalize reliability. In this tree, the structure and behavior of the system are separated. On the basis of the tree the diagram of states and transitions of the system is developed.
An attention is considered to analysis of instrumental component of result’s uncertainty. While production control in industry, the mentioned component for concrete measuring instrument with the concrete measurement results has to be determined and analyzed. Important is the question of random impacts effect on to uncertainty of extreme (minimum or maximum) observations.