Research Article
M/D/1/1 loss system with interference and applications to transmit-only sensor networks
@INPROCEEDINGS{10.1109/WIOPT.2007.4480073, author={Bartlomiej Blaszczyszyn and Bozidar Radunovic}, title={M/D/1/1 loss system with interference and applications to transmit-only sensor networks}, proceedings={1st International ICST Workshop on Spatial Stochastic Models for Wireless Networks}, publisher={IEEE}, proceedings_a={SPASWIN}, year={2008}, month={3}, keywords={Interference Performance analysis Power system modeling Propagation losses Protocols Rayleigh channels Sensor systems Sensor systems and applications Signal to noise ratio Wireless sensor networks}, doi={10.1109/WIOPT.2007.4480073} }- Bartlomiej Blaszczyszyn
Bozidar Radunovic
Year: 2008
M/D/1/1 loss system with interference and applications to transmit-only sensor networks
SPASWIN
IEEE
DOI: 10.1109/WIOPT.2007.4480073
Abstract
We propose and analyze a probabilistic model of packet reception in the steady state regime of a non-slotted wireless communication channel. It is an extension of the classical M/D/1/1 Erlang's loss model where the interference created by different packet emissions is introduced by means of a shot-noise process. More precisely, we assume that a given packet is admitted by the single receiver if this latter is idle at the packet arrival epoch and successfully received if, in addition, its signal-to-interference-and-noise ratio averaged over the reception period is large enough. As the main result we prove an analog of the Erlang's formula for the ergodic rate of the successfully received packets. Our work is motivated by some applications to transmit-only sensor networks.