This volume contains selected peer-reviewed papers presented at the IMA 4th International Conference on Mathematics in Transport. These papers deal with the development and application of mathematical and statistical modelling in transport and present research on the mathematical ideas and methodologies required to cope with the increasing demand on transport infrastructure. Authorship is international and a wide variety of topics are covered including public transport and scheduling, pricing issues, travel behaviour and choice modelling, safety and spatial and location modelling. It has an international perspective with authors representing many countries and covering a variety of topics.
1 Sensitivity of traffic conditions at road junctions to movement-specific flows of approaching vehicles by Richard Allsop 1
2 Vehicle crash compatibility and sports utility vehicles (SUVs) by Rod Kimber 13
3 Bilevel optimisation of prices in network equilibrium models by Richard Connors and Mike Smith and David Watling 27
4 Minimal revenue network tolling: system optimisation under stochastic assignment with elastic demand by Kathryn Stewart and Mike Maher 45
5 A new solution scheme for the link toll optimisation problem by Suh-Wen Chiou 59
6 Two-direction methods for variable demand traffic assignment by Q. Lv and A. Salis and G. Skrobanski and M. J. Smith and J. Springham and A. Woods and A. Gordon 71
7 Investigating a class of car following model on a ring by Sharon Jamison and Mark McCartney 97
8 A general framework for the calibration and validation of car-following models along an uninterrupted open highway by Ronghui Liu and Jiao Wang 111
9 Determining appropriate parameter values for a nonlinear car-following model by David Low 125
10 Improving the empirical basis for cycle planning by A. M. Cope and C. R. Abbess and J. Parkin 139
11 Optimal congestion pricing design methods in integrated location/transport models by Jiang Qian Ying 153
12 Spatial Bayesian modelling of road accidents at the local authority level by Yilin Liu and David Jarrett 167
13 An analysis of the dilemma zone problem at high-speed signalised intersections with the SA control strategy by Xiaoyan Zhang and Mark Crabtree and Alastair Maxwell 181
14 Properties of random utility discrete choice models by Andrew Daly 195
15 A stochastic user equilibrium model with stochastic demand by Shoichiro Nakayama 211
16 Existence of equilibrium in a continuous dynamic queueing model for traffic networks by Richard Mounce 219
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