On the Capacity of Single-Hop Slotted ALOHA Networks for Various Traffic Matrices and Transmission Strategies

In this paper we formulate a general model of the capacity of single-hop slotted ALOHA networks. We find that the capacity can be expressed as a function of the nodal degree (i.e., number of nodes within range of a transmitter). We than evaluate this model for various traffic matrices. In order to satisfy the requirements of a given traffic matrix, the transmission power is selected accordingly and this determines the degree of the nodes and, hence, the network performance. Finally we compare our results to simulation studies.