Stability and instability of a random multiple access model with adaptive energy harvesting

TL;DR

This paper studies a random multiple access communication system with energy harvesting, analyzing conditions under which the system remains stable or becomes unstable, considering the randomness in energy arrivals and transmission protocols.

Contribution

It introduces a novel model combining ALOHA with energy harvesting, providing new insights into stability conditions for such systems.

Findings

Derived stability conditions for the model

Identified parameters leading to instability

Provided theoretical analysis of energy harvesting effects

Abstract

We introduce a model for the classical synchronised multiple access system with a single transmission channel and a randomised transmission protocol (ALOHA). We assume in addition that there is an energy harvesting mechanism, and any message transmission requires a unit of energy. Units of energy arrive randomly and independently of anything else. We analyse stability and instability conditions for this model.