STOCHASTIC ANALYSIS OF A PARALLEL SYSTEM WITH FAILURE OF SERVICE FACILITY
The reliability measures of a parallel system are analyzed stochastically by considering failure of service facility while performing jobs. There are two identical units in the system which has two modes - operative and failure. The repair activities are carried out by a single service facility (called server) as and when required. The service facility undergoes for treatment when it fails to perform the jobs. The unit and service facility work as new after rectification with same life time as original. The random variables associated with failure time of the unit and service facility, treatment time of the service facility and repair time of the unit are statistically independent. The failure time and the time by which service facility undergoes for treatment follow negative exponential distribution while the distributions for repair and treatment time are taken as arbitrary with different probability density functions. The semi-Markov process and regenerative point technique are adopted to derive the expressions for reliability measures of the system model. The results for arbitrary values of various parameters and costs are obtained to depict the behavior of some measures of system effectiveness.