Vague Reliability Analysis of Standby Systems with an (N + 1) Units

Vague logic plays an important role in the reliability analysis of a repairable standby system consisting of N + 1 units. The present paper also investigates the reliability of an N + 1 units system in which at starting stage all units of the system are in good condition but when in the system the failure comes to some module, the system immediately takes reconfiguration operation, within negligible time. One repairman is available to repair one faulty module at any time, except when the system is fully failed. The functioning of the repaired unit is performed successfully, and the repair rate is constant from state one to another state.