Random-Access Poisson Networks: Stability and Delay
- 14 October 2010
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Communications Letters
- Vol. 14 (11), 1035-1037
- https://doi.org/10.1109/lcomm.2010.100810.100762
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.Keywords
This publication has 6 references indexed in Scilit:
- Stochastic geometry and random graphs for the analysis and design of wireless networksIEEE Journal on Selected Areas in Communications, 2009
- Stability and Delay of Finite-User Slotted ALOHA With Multipacket ReceptionIEEE Transactions on Information Theory, 2005
- Stability of N interacting queues in random-access systemsIEEE Transactions on Information Theory, 1999
- On the LambertW functionAdvances in Computational Mathematics, 1996
- Stability conditions for some distributed systems: buffered random access systemsAdvances in Applied Probability, 1994
- The stability of a queue with non-independent inter-arrival and service timesMathematical Proceedings of the Cambridge Philosophical Society, 1962