UDC 519.21
RELIABILITY OF A SERIES SYSTEM WITH REDUNDANCY
AND THRESHOLD RECOVERY STRATEGIES
Abstract. We propose a method for studying the reliability of series systems with redundancy and recovery strategies,
which provide for a change in the repair intensity depending on the number of failed units.
The case of the exponential distribution of the time to failure of units, the non-exponential distribution of the recovery time,
and one repair channel are considered. Formulas to determine Laplace transforms of the distribution of the number
of failed units during the busy period of the repair channel and of the distribution function of the busy period
and to calculate the stationary reliability indices are obtained.
Keywords: reliability, recoverable system, redundancy, series system, method of potentials.
FULL TEXT
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