Reliability model analysis on parallel system having multiple vacations of one repairman

As large complex equipment cannot be repaired in a timely manner in practice, the policy that a repairman takes multiple vacations is introduced to the parallel system containing n identical components. Considering too stringent constraints of model due to exponential distribution and other special types of distributions in past studies, this paper assumes that service life of system components, repair time and the time of vacation of a repairman are in accord with continuous Phase-type distribution, builds a more valid interpretive model for system reliability, gives the reliability indicators including system reliability, system steady-state availability, steady-state failure frequency and system mean time between failure (MTBF), etc., and an application will be taken to verify the applicability of the model.