  This letter proposes a novel random medium access control (MAC) based on a
transmission opportunity prediction, which can be measured in a form of a
conditional success probability given transmitter-side interference. A
transmission probability depends on the opportunity prediction, preventing
indiscriminate transmissions and reducing excessive interference causing
collisions. Using stochastic geometry, we derive a fixed-point equation to
provide the optimal transmission probability maximizing a proportionally fair
throughput. Its approximated solution is given in closed form. The proposed MAC
is applicable to full-duplex networks, leading to significant throughput
improvement by allowing more nodes to transmit.
