Analysis of the execution time of multi-stage control operations with multiple measurements

Abstract

Questions related to the management of the process of multiple measurements are considered, depending on the result, which affects their number. In this case, the measurement time can be significantly increased. The above algorithm for controlling the measurement process justifies the random nature of the duration of its execution, which entails the need to study the time of carrying out multiple measurements. The paper constructs a semi-Markov model that allows to determine the distribution functions of time between events in the output flow of products after measurements, which makes it possible to dock this model with models of elements of higher levels of the hierarchy of the production structure. In the model, it is taken into account that some part of the production after a given number of measurements is defective and leaves the system. The constructed semi-Markov model allows to predict the performance of a technical system associated with multiple measurements.