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Title: Mean traffic behaviour in Poissonian cities
Author: Gameros Leal, Rodolfo
ISNI:       0000 0004 7425 6252
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2018
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The Poissonian city is a model where a Poisson line process of unit intensity Π is being used as a transportation network inside a disk of radius n. In order to achieve a better understanding of this framework we first compile in chapter 1 the main results from Stochastic Geometry and a brief summary of similar research in the topic of transportation networks and also other possible applications for line processes. In chapter 2 we study the asymptotic mean traffic flow at any point q = (tn, un) inside the Poissonian city conditioning on the presence of an horizontal line lq : y = un that passes through q, that is lq ε Π. Later, in chapter 3 we use Palm Theory to compute the asymptotic mean traffic flow inside a subregion of the Poissonian city. Then, chapter 4 compares the asymptotic mean traffic density inside the Poissonian city with the study done by Beeching for the British railway system. The differences between the British railway system and the theoretical model provided by the Poissonian city motivates us to modify some of the assumptions in our model. In chapter 5, we adapt previous results to the Poissonian city taken place inside a variety of ellipses Ec, where the parameter c is used to change the eccentricity of the ellipse. Finally, chapter 6 presents a new possible generalization for the Poissonian city and open problems related with this new approach. Also other possible approaches are mentioned for future research.
Supervisor: Not available Sponsor: Consejo Nacional de Ciencia y Tecnología (Mexico)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics