This paper describes the investigation of different reliability measures of a complex system consisting of two subsystems with controllers in a series configuration, which is a useful opportunity for specific design problems. Subsystem-1 consisting n units functioning under the policy k-out-of-n: G; policy, and subsystem-2 has m units and operating under r-out-of-m: G; policy. The system failure rates of both subsystems are constant and assumed to obey an exponential distribution; two types of distribution are allowed to repair: general distribution and Gumbel-Hougaard family copula distribution. The system's partially failed states/ completely failed states are repaired using General/ copula distribution. After repair, the units in both the subsystems are "as good as new." The controller control both subsystems and the failure of controllers brings the subsystem in the complete failed state. The operator may fail the system deliberately if not satisfied with the organization. The system is analyzed employing the supplementary variable technique, and Laplace transforms implications and traditional system reliability measures, such as the system's availability, system reliability, and profit analysis, have been computed for particular values of failure and repair parameters. پرونده مقاله

The present study is a complex system with three subsystems connected in a series configuration. The first subsystem has n identical units and is ascribed to be operable by a k-out-of-n: G scheme, and the second subsystem, which has three indistinguishable parts, is capable of being operational if at least two of them are operable. The third subsystem has an independent unit and all subsystems are connected in a series in the sequence of subsystem 1, subsystem 2, and subsystem 3. The units of subsystem 1 and subsystem 2 are controlled by the auto changeover switches and the switch failure led to the complete failed state. The units' failure rates of subsystems are constant and follow an exponential distribution, however, there are two types of repair facilities: general and copula repair. Minor repair dealt with the general repair but complete failure needs copula repair. Traditional reliability measures have been studied for different values of failure and repair through supplementary variable and copula approaches. پرونده مقاله