Stability of Multiple Receiving Nodes Slotted ALOHA for Wireless Ad Hoc Networks

In wireless ad hoc and sensor networks, communication may be achieved without a central entity (base station) and nodes communicate with each other in a half-duplex manner. In those kinds of networks each node either will be in a transmitting mode or in a receiving mode or in an idle mode. Stability of half-duplex slotted ALOHA is studied in terms of the node transmitting probability, the node receiving probability, capture ratio and the number of retransmission attempts. A close form equation is obtained for the stable operation of a distributed random access protocol with multiple receiving nodes. This equation provides the relationship between the new packet transmission probability from each mobile node, capture ratio and the number of retransmission attempts. The results of this study may be used for system design of half-duplex contention- based multiple access schemes with and without capture and retransmission cut-off.