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In this paper, we study the performance of Slotted Aloha under power differentiation schemes. We consider the uplink of a cellular system where m mobiles transmit over a common channel to a base station. In particular we analyze random sets possible transmission powers and further study the role of priorities given either to new arriving packet or to backlogged packets. We consider a general capture model where a mobile transmit successfully a packet if its instantaneous SINR is larger than the threshold. Under this capture model, we study both the cooperative team in which a common goal is jointly optimized as well as the noncooperative game problem in which mobiles try to optimize their own objectives. The performance metrics that we study are the throughput and the expected delay. Further we provide a stability analysis and show that schemes with power differentiation and power control can improve significantly the performance and could eliminate in some cases the bi-stable nature of Slotted Aloha.

Cooperative and non-cooperative control for slotted aloha with random power level selections algorithms