Upper Bounds for the Stability Regions of Coded Poisson Receivers

As an abstraction and generalization of various coded random access schemes in the literature, the probabilistic framework of coded Poisson receivers (CPR) with multiple traffic classes is a tentative solution for providing differentiated services for uplink transmissions in a single network. One crucial performance metric of CPRs is the stability region in which every packet can be successfully received with probability 1. In this paper, we derive upper bounds for the stability region of CPRs when the underlying channel can be modeled by a ϕ-ALOHA receiver. Our upper bounds generalize those for the Irregular Repetition Slotted ALOHA (IRSA) protocol and can also be used for other channel models with multiple traffic classes.