Random-access Poisson networks: stability and delay

Authors:
Kostas Stamatiou;Martin Haenggi
Affiliations:
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN;Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN
Venue:
IEEE Communications Letters
Year:
2010

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Abstract

We consider a Poisson network of sources, each with a destination at a given distance and a buffer of infinite capacity. Assuming independent Bernoulli arrivals, we characterize the stability region when one or two classes of users are present in the network. We then derive a fixed-point equation that determines the success probability of the typical source-destination link and evaluate the mean delay at each buffer.