Comparing whole-link travel time models used in DTA

In a model commonly used in dynamic traffic assignment the link travel time for a vehicle entering a link at time t is taken as a function of the number of vehicles on the link at time t. In an alternative recently introduced model, the travel time for a vehicle entering a link at time t is taken as a function of an estimate of the flow in the immediate neighbourhood of the vehicle, averaged over the time the vehicle is traversing the link. Here we compare the solutions obtained from these two models when applied to various inflow profiles. We also divide the link into segments, apply each model sequentially to the segments and again compare the results. As the number of segments is increased, the discretisation refined to the continuous limit, the solutions from the two models converge to the same solution, which is the solution of the Lighthill, Whitham, Richards (LWR) model for traffic flow. We illustrate the results for different travel time functions and patterns of inflows to the link. In the numerical examples the solutions from the second of the two models are closer to the limit solutions. We also show that the models converge even when the link segments are not homogeneous, and introduce a correction scheme in the second model to compensate for an approximation error, hence improving the approximation to the LWR model.

‘Glimpses into the unmentionable: Montserrat, tourism and anthropological readings of “subordinate exotic” and “comic exotic” travel writing’

This article explores the relationship between anthropology and identity through the process of travel writing and reading. Specifically, the article examines a range of travel writing about the British Caribbean colony Montserrat to read into the culture of the writer. These deconstructive ‘glimpses into the unmentionable’ reveal an implicit racism. The travel writing texts are also found to divide into two types of representation – the ‘subordinate exotic’ and the ‘comic exotic’.

Ionic liquids: fact and fiction

Ionic liquid literature is increasingly plagued by unfounded mythologies that have arisen due to the burgeoning interest in these neoteric materials. This short polemic is designed to bring attention to some of the key problems in the current ionic liquid literature; this is an exciting new field, and we want to see it blossom in the fertile ground of academic and industrial excellence.