Geodesic
Spatially decentralized protocols in random multiple access networks
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 135-152

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We analyse a spatial ALOHA-type random multiple-access protocol in a stochastic network with local interactions. We formulate and prove a stability criterion and provide convergence rates to stationarity. Finally, we compare various ALOHA-type protocols in a symmetric network.
Keywords: ALOHA protocol, random multiple access, spatial interactions, spatially decentralized protocol, positive recurrence, (in)stability, Foster criterion. 
@article{SEMR_2018_15_a34,
     author = {M. G. Chebunin and E. I. Prokopenko and A. S. Tarasenko},
     title = {Spatially decentralized protocols in random multiple access networks},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {135--152},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a34/}
}
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M. G. Chebunin; E. I. Prokopenko; A. S. Tarasenko. Spatially decentralized protocols in random multiple access networks. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 135-152. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a34/