The problem of duplicating the responsible node of a radio engineering device with several
backup units in the event of a short circuit or other potential danger of sudden disconnection of the
device is considered. To study such situations, when modeling a possible sudden failure of the unit, a
small positive parameter is introduced in the denominators of the failure rates of the main device and
backup units. In this regard, the system of Kolmogorov equations for the considered case will be
singularly perturbed. For the received model key features device reliability: the probability of loss of
function of the expected time of failure of the last overlapping block variance and the risk of failure of
the unit. Similar characteristics are found for the corresponding problem without reservation. On the basis of a comparative analysis of the results obtained for the reliability characteristics of the main task
and their comparison with the results for the system without redundancy, a number of features are
identified and conclusions are made about the feasibility of redundancy in this case. For specific values
of the number of duplicate blocks, failure rates and small parameter, a table of results for the
mathematical expectation of the time of failure of the last device is given and conclusions are made.
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Korypaeva Julia Vladimirovna
Candidate of Physical and Mathematical Sciences, Associate Professor
Email: malena1975@mail.ru
MESC AF «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy»
Voronezh, Russian Federation
Aleynikova Natalya Alexandrovna
Candidate of Physical and Mathematical Sciences, Associate Professor
Email: balbashovan@mail.ru
MESC AF «N.E. Zhukovsky and Y.A. Gagarin Air Force Academy»
Voronezh, Russian Federation
Krasova Natalia Evgenievna
Candidate of Economic Sciences, Associate Professor
Email: krasovanata@mail.ru
Zhukovsky-Gagarin Air Force Academy
Voronezh, Russian Federation
