Availability for multi-component k-out-of-n: G warm-standby system in series with shut-off rule of suspended animation

•An availability model on the multi-component k-out-of-n: g warm-standby system with SA is constructed.•An effective algorithm for the transition rates of the SA states is presented.•The solved availability is accurate compared without considering the SA.•The system availability is proven to equal the operation state probability of any one of the subsystems.