МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ НАДІЙНОСТІ НАВІГАЦІЙНОГО КОМПЛЕКСУ МЕТОДАМИ ТЕОРІЇ МАСОВОГО ОБСЛУГОВУВАННЯ

This article examines the navigation complex as a queuing system and defines the relationship between the difficulty of navigation conditions and the system's capacity. A mathematical model was developed to calculate and analyze the reliability of the ship's navigational complex using queueing sys- tems theory. This work is one of the first steps in using queueing systems theory to analyze issues with safe shipping. The mathematical model was implemented with experimentation across a wide range of input data. The results are visualized and mathematically processed, building approximation equations of the second order, which tie the probability of the system’s functional state to the corresponding intensities of failure and servicing streams. The linearized model is taken to build a nomogram, which may have broad practical uses. Mathematical modeling is done for various condi- tions of navigational difficulty (from coastal to littoral navigation and port maneuvers). This ensures the practical importance of the model’s results when developing relevant naval rules and judging the benefits of electronic navigation.