According to the invention, a digital message system for receiving a plurality of digital messages is disclosed. The digital message system includes a message receiving function, a message grouping function and a traffic shaping unit. The message receiving function interacts with the first and second digital messages. The message grouping function associates a first digital message and a second digital message to a group that are similar in at least one way. The traffic shaping unit does not delay delivery of the first digital message, but delays a second digital message. Messages are delayed when traffic for the group compares unfavorably with a traffic profile for the group.