Research of reliability and efficiency of technological processes of mechanical assembly production on the basis of the common semi-Markov model

¹ Sevastopol State University, 299053 Sevastopol, 33, University street, Russia
² Donetsk National Technical University, 58, Artema street, Donetsk, Donetsk People’s Republic
³ Philal FGBOU VO «State Maritime University named after Admiral F.F. Ushakov» in the city of Sevastopol, 299001, Sevastopol, 7, Heroes of Sevastopol street, Russia

^* Corresponding author: u.l.rapatskiy@mail.ru

Abstract

In the article a common semi-Markov mathematical model is considered that allows one to investigate the productivity and reliability of various technological processes of mechanical assembly production. The proposed model allows to study, inter alia, technological processes of manufacturing parts with screw and assemblies of threaded connections. Mathematical apparatus of the research is the theory of semi-Markov processes with a common phase space, which operates with a common kind of random variables distribution functions. If the considering process in the system is a subsystem located on a higher level of hierarchy, the hierarchical model for compatibility with each other levels as output simulation parameters required distribution functions. In the proposed model, based on the decision of the Markov renewal equations depend not only on the torque characteristics, but also the distribution function of time per unit of output service according to different kinds of undervalued failures.