Geodesic
Stability and instability of a random multiple access model with adaptive energy harvesting
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 16-25

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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 analyze stability and instability conditions for this model.
Keywords: random multiple access, stochastic energy harvesting, (in)stability, ALOHA algorithm, generalized Foster criterion. 
@article{SEMR_2016_13_a44,
     author = {S. Foss and D. Kim and A. Turlikov},
     title = {Stability and instability of a random multiple access model with adaptive energy harvesting},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {16--25},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a44/}
}
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S. Foss; D. Kim; A. Turlikov. Stability and instability of a random multiple access model with adaptive energy harvesting. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 16-25. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a44/