# 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.

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Contact:
Keith Briggs
()
or
Richard G. Clegg (richard@richardclegg.org)