SIGNS OF CONVERGENCE AND DIVERGENCE OF INTEGRALS OF THE OPERATING LIFE OF NON-RESTORABLE ITEMS 

Gulam S. Sаdykhov, Doctor of technical sciences, professor, professor of the sub-department of computational mathematics and mathematical physics, chief researcher, Bauman Moscow State Technical University (building 1, 5 2nd Baumanskaya street, Moscow, Russia), E-mail: gsadykhov@gmail.com
Svetlana S. Kudryavtseva, Senior lecturer of the sub-department of computational mathematics and mathematical physics, Bauman Moscow State Technical University (building 1, 5 2nd Baumanskaya street, Moscow, Russia), E-mail: kudryavctva@bmstu.ru
Viktor M. Dubrovin, Candidate of technical sciences, associate professor, associate professor of the sub-department of computational mathematics and mathematical physics, Bauman Moscow State Technical University (building 1, 5 2nd Baumanskaya street, Moscow, Russia), E-mail: dubrovinvm1934@yandex.ru 

Background. When choosing a mathematical model of reliability of non-recoverable items, it is necessary to know in advance the conditions under which the mean operating life is finite and when it is infinite. Therefore, the actual problem is to find signs of convergence and divergence of operating life integrals. Materials and methods. In this paper, estimating the mean operating life through a function of the failure rate of non-recoverable items, sufficient conditions for convergence and divergence of operating life integrals are found. Results. On the basis of the found signs of convergence and divergence of integrals of the operating life of non-recoverable items, the conditions of limitation and unlimited values of the mean operating life are determined. Conclusions. Sufficient conditions for convergence and divergence of integrals of the operating life of non-recoverable items are proved. Examples of the use of the obtained results are given. 

mean operating life, conditional probabilities, operating life integrals 

Sаdykhov G.S., Kudryavtseva S.S., Dubrovin V.M. Signs of convergence and divergence of integrals of the operating life of non-restorable items. Nadezhnost' i kachestvo slozhnykh sistem = Reliability and quality of complex systems. 2024;(1):31–38. (In Russ.). doi: 10.21685/2307-4205-2024-1-4