A device, method and computer-readable medium for recovering a replica in an operator in a data streaming processing system are disclosed. A method may obtain a checkpoint in an input data stream, determine a maximum-timestamp at the checkpoint in the input data stream, calculate a completeness point that is greater than the maximum-timestamp for an output data stream and process data records from the checkpoint onwards that have a respective timestamp that is greater than or equal to the completeness point that was calculated to generate a new replica to replace a failed replica.