Stability and instability of a random multiple access model with   adaptive energy harvesting
  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. 
Sergey Foss, Dmitriy Kim, Andrey Turlikov
math.PR cs.IT math.IT