Operational control of probabilistic processes in a multi-stage specialized system

A process consisting of sequential operations is considered. For each operation, you can determine the currently available probability of its error-free (high-quality) execution. By the qualitative performance of the operation, we will understand the achievement of a given level of quality in quantitative proportion to the overall level. The purpose of the article is to build a quality management strategy in which a set of probabilities of quality levels not less than a certain threshold value is achieved, with minimal costs for carrying out appropriate measures. The article presents the decomposition of operations into activities; classification of activities into activities with conditionally linear or asymptotic response; quality assessment in a multi-level control system with response functions of various types; optimization problems and their algorithmic solutions.