Allocation of a wireless communications system channel resource is managed by utilizing traffic segment allocation. This is realized by partitioning the channel resource into an assignment channel and a traffic channel in a fixed manner. The assignment channel includes assignment segments and the traffic channel includes traffic segments. The traffic segment is the basic traffic channel resource unit used to transport traffic data and has a prescribed finite time interval and bandwidth. Each traffic segment is associated with a so-called assignment segment in a prescribed manner. One or more traffic segments may be associated with a particular assignment segment. A base station broadcasts via an assignment segment which wireless terminal is to use a particular traffic segment. This is realized by transmitting a simply identifier for the particular wireless terminal assigned to the particular traffic segment in the assignment segment. Then, each active wireless terminal monitors all of the received assignment segments to detect any traffic channel assignments. Once a wireless terminal detects its identifier in an assignment segment, it proceeds to receive/transmit the traffic data in the traffic segment associated with the assignment segment including the detected identifier.