Analysis of a proportionally fair and locally adaptive Spatial Aloha in Poisson Networks

Abstract

Abstract-The proportionally fair sharing of the capacity of a Poisson network using Spatial-Aloha leads to closed-form performance expressions in two extreme cases: (1) the case without topology information, where the analysis boils down to a parametric optimization problem leveraging stochastic geometry; (2) the case with full network topology information, which was recently solved using shot-noise techniques. We show that there exists a continuum of adaptive controls between these two extremes, based on local stopping sets, which can also be analyzed in closed form. We also show that these control schemes are implementable, in contrast to the full information case which is not. As local information increases, the performance levels of these schemes are shown to get arbitrarily close to those of the full information scheme. The analytical results are combined with discrete event simulation to provide a detailed evaluation of the performance of this class of medium access controls.

A spatial slotted-Aloha protocol in wireless networks for group communications

“…Since a node in an ad hoc network may operate as a transmitter or a receiver, an analytical model using PPP can be classified by the model of a receiver [6]. If each transmitter node has its corresponding receiver, the model is called as "Poisson bipolar model" [20][21][22][23]. In the Poisson bipolar model, the transmitters are modeled as a PPP and are divided into two non-overlapping subsets, whether a transmitter does its role at a specific time or not by using a TP.…”

“…In [22], the optimal TPs are derived for the maximum throughput medium access, the max-min fairness medium access, and the proportional fairness medium access. In [21], the performance of the Aloha protocol which is optimized for the proportional fair medium access is analyzed. The authors in [24] propose a spatial reuse Aloha protocol for a multihop network with the optimal TP which maximizes the density of progress, the mean total distance traversed in one hop by all transmissions initialized in some unit area.…”

A Throughput-Optimum Adaptive ALOHA MAC Scheme for Full-Duplex Wireless Networks

“…Hence, there is a strong need for a MAC protocol tailored for a wireless network of radios with both FD and HD capabilities and an intelligent, distributed and adaptive scheme to switch between FD and HD operation based on different network configurations so as to better manage the interference. An adaptive ALOHA MAC scheme for HD networks has been studied in [13], [14]. The analysis of a proportionally fair and locally adaptive spatial ALOHA MAC scheme is presented in [13] while the adaptive ALOHA scheme is analyzed with full information about the network topology in [14].…”

“…An adaptive ALOHA MAC scheme for HD networks has been studied in [13], [14]. The analysis of a proportionally fair and locally adaptive spatial ALOHA MAC scheme is presented in [13] while the adaptive ALOHA scheme is analyzed with full information about the network topology in [14].…”

“…The MAC scheme proposed is distributed and only depends on the node's local spatial information such as the distances to its neighbors within some range. The throughput performance is compared with the non-adaptive MAC schemes for both HD and FD networks and the adaptive HD MAC scheme in [13] and shows significant improvement overall.…”