On the stability of fast retrial multichannel ALOHA with rate control for MTC

We consider multichannel ALOHA for machine-type communications to support a number of devices with multiple subchannels in this letter. In particular, we focus on the stability of multichannel ALOHA when only fast retrial is employed for re-transmissions of collided packets. For the stability analysis, the Foster-Lyapunov criterion is considered. For a stable system, the rate control is applied, and a certain rate control scheme of limited feedback is proposed.