MoN17: Seventeenth Mathematics of Networks meeting
Temporal performance of a link in a field of vehicular interferers with headway Distance – Konstantinos Koufos (Bristol)
The performance in vehicular networks have long been studied using the Poisson Point Process (PPP) for the locations of vehicles. In roads with few numbers of lanes and restricted overtaking, the PPP model may become unrealistic, because it assumes that the vehicles can come arbitrarily close to each other. In this talk, we will model the headway distance (the distance between the head of a vehicle and the head of its follower) equal to the sum of a constant hardcore distance and an exponentially distributed random variable. The correlation properties of this model have been studied in statistical mechanics, in the context of hardcore fluids and gases, and they are complicated. We will devise simple formulae to capture the impact of hardcore distance on the mean, the variance and the skewness of interference at the origin, in comparison with a PPP model of equal intensity. We will show that for small hardcore distances, the interference distribution becomes more concentrated around its mean and less skewed, in comparison with the distribution due to a PPP of equal intensity. We will use the approximations for the moments of interference to devise suitable models for the distribution of interference, and subsequently apply them to assess the temporal performance of a receiver at the origin. We will illustrate that the approximations can be used to describe the temporal performance when the PPP model fails. The PPP model makes a pessimistic prediction for the efficiency of simple retransmission schemes in scenarios with low mobility along urban street microcells.
Bio: Konstantinos Koufos obtained the diploma in electrical and computer engineering from Aristotle University, Greece, in 2003, and the M.Sc. and D.Sc. in radio communications from Aalto University, Finland, in 2007 and 2013. Since 2016 he has been with the School of Mathematics in the University of Bristol, Bristol UK, as a Senior Research Associate in Spatially Embedded Networks. His current research interests are in interference modeling, mobility models and spectrum sharing for 5G wireless networks.
Contact:
Keith Briggs
(
)
or
Richard G. Clegg (richard@richardclegg.org)