A 1-out-of- N: G system with common-cause failures and critical human errors

Abstract

A system which has N operating units and r repair facilities with common-cause failures and critical human errors is presented. The system is of 1-out-of- N: G nature. Failure rates are constant and the repair rate is arbitrary. Mathematical formulation is carried out using the supplementary variable technique. Lagrange's method for partial differential equations is employed to solve the governing equations. Various probabilities, system parameters and special cases are discussed.