Performance study of statistical multiplexing in case of slow message generation

The queuing behavior is investigated for a slotted statistical multiplexer to which variable-length messages arrive via low-speed access lines at a rate of one packet per slot. Some explicit results are derived by using a two-dimensional state description of the system. A message of length n contributes to the packet-arrival stream into the multiplexer´s buffer during n consecutive slots. This introduces a degree of correlation into the packet-arrival process. The state description used accounts for this inherent correlation in the packet-arrival stream process