Studying traffic in an elegant random network.

What is it about?

The Poissonian city is constructed as an assembly of random lines intersecting a disk. Traffic is supposed to be generated homogeneously between start and end points in the disk, and in each case access to the network is achieved by the (arbitrary but actually inconsequential) rule of setting off in the opposite direction to one's destination. The paper studies the random quantity of amount of traffic at the centre, in the limiting case of high line density, and describes and justifies a simulation algorithm to make draws from this.

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Why is it important?

This paper is part of an extended investigation of properties of an idealized transportation network based on random lines. The objective is to gain a good theoretical understanding of this idealized model, in order to obtain good perspectives on what one might expect to see in practice, in real day-to-day cities.

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