ANALYSIS OF THE RELIABILITYOF THE NAVIGATION COMPLEX AND RECOMMENDATIONS FOR INCREASE OF RELIABILITY

https://doi.org/10.33815/2313-4763.2024.1.28.068-078

Keywords: navigation systems, system stability;reliability, technical factor, queuing systems, system failure and recovery, flow of requests, quadratic approximation, nomogram

Abstract

The article examines the navigation complex as a mass service system and examines the relationship between the complexity of sea conditions and the capabilities of the system. Mathematical modeling and reliability analysis of the ship's navigation complex from the perspective of mass service theory were carried out. The presented work is one of the first in the application of mass service theory in the analysis of safe shipping problems, which ensures its importance and scientific novelty. The developed mathematical model was implemented in numerical experiments, and the obtained results were mathematically processed and visualized by building approximation equations of the second order, which relate the probability of the operating state of the system to the corresponding intensities of failure and maintenance flows. Mathematical modeling was carried out for different conditions of navigation complexity (from coastal to inshore navigation and port maneuvers). This ensures the high practical importance of the model results in the development of relevant maritime regulations and the assessment of the benefits of electronic navigation. A four-factor linear regression was built, which connects the reliability of the navigation complex with the corresponding flows of failures and maintenance in the system. The obtained regression is visualized in a nomogram, which is suitable for solving a number of practical problems.

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Published
2024-07-29