The disclosure relates to parallel processing of multiple digital data streams. The method includes transferring portions of incoming streams and attributes thereof to processors and obtaining respective portions of output streams and providing a sequence of the portions. Providing includes searching for a processor which is processing a portion of a particular incoming stream that has been located in a particular first stream before a portion already processed in said processor, and when several such processors are found, selecting a processor which is processing a portion of the particular incoming stream that is closest to the processed portion of the particular incoming stream. The processed portion of the particular incoming stream (and previously processed portions of the incoming stream from other processors) is transferred to the selected processor. If no such processors are found, the processed portions of the incoming stream are transferred to a respective output stream.