Hierarchical Slotted Wireless Random Channel Access with Power Control

Figure 2

The state of the system is the backlog vector; the first component corresponds to the number of messages in transmission (backlogged plus first time transmissions) among the mobile users , whereas the second and the third component indicate, respectively, the number of messages (either backlogged or first time transmissions) of the leader and the tagged mobile (either 0 or 1). In order to stay inside the state space (for this illustrative example), we need to have and .