ANALYSIS OF A THREE UNIT COMPLEX SYS- TEM WITH CORRELATED LIFETIMES

The paper deals with profit function analysis of a three non-identical units namely, A B and C complex system model. The units are arranged in such a way that the system failure occurs if either unit-A or both the units B and C fail totally. A single repairman is always available with the system to repair the failed units in FCFS discipline. The failure time distribution of unit-A is taken exponential whereas time to failure of unit-B and unit-C are assumed to be correlated random variables having their joint distribution as Bi-variate exponential. The distributions of time to repair of unit B and C are taken exponential with different parameters whereas the distribution of time to repair of unit-A is taken arbitrary. Various performance measures of system effectiveness have been obtained by using regenerative point technique.