Mathematics in Transport

Proceedings of the Fourth Ima International Conference on Mathematics in Transport in Honour of Richard Allsop

By: Ben Heydecker (Editor)

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Hardcover | 23 August 2007

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428 Pages

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23.39 x 15.6 x 2.39

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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.
* Focuses on the development and application of mathematical and statistical modelling in transport
* International perspective with authors representing many countries and covering a variety of topics
* Featured papers were peer-reviewed and presented at the IMA 4th International Conference on Mathematics in Transport

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Sensitivity of traffic conditions at road junctions to movement-specific flows of approaching vehicles	p. 1
Vehicle crash compatibility and sports utility vehicles (SUVs)	p. 13
Bilevel optimisation of prices in network equilibrium models	p. 27
Minimal revenue network tolling: system optimisation under stochastic assignment with elastic demand	p. 45
A new solution scheme for the link toll optimisation problem	p. 59
Two-direction methods for variable demand traffic assignment	p. 71
Investigating a class of car following model on a ring	p. 97
A general framework for the calibration and validation of car-following models along an uninterrupted open highway	p. 111
Determining appropriate parameter values for a nonlinear car-following model	p. 125
Improving the empirical basis for cycle planning	p. 139
Optimal congestion pricing design methods in integrated location/transport models	p. 153
Spatial Bayesian modelling of road accidents at the local authority level	p. 167
An analysis of the dilemma zone problem at high-speed signalised intersections with the SA control strategy	p. 181
Properties of random utility discrete choice models	p. 195
A stochastic user equilibrium model with stochastic demand	p. 211
Existence of equilibrium in a continuous dynamic queueing model for traffic networks	p. 219
Equivalent optimization problem for finding equilibrium in the bottleneck model with departure time choices	p. 231
Toward a general framework for dynamic road pricing	p. 245
Variance and accuracy of the sheared queue model	p. 259
A new numerical scheme for bounding acceleration in the LWR model	p. 279
Resolution of the Aw, Rascle and Zhang macroscopic second order traffic flow model	p. 293
A cell transmission model for signal timing optimisation in work zones	p. 307
Reserve capacity for a set of closely-spaced intersections	p. 321
Car following, route choice, crashes - and the Lambert W-function	p. 333
Tracking waves through spatial discontinuities: boundary conditions in the wave tracking resolution of the LWR model	p. 349
Flow on links: yesterday, today and tomorrow	p. 363
Sensitivity analysis of network traffic equilibria revisited: the corrected approach	p. 373
Practical obstacles in the sensitivity analysis of network equilibria	p. 397
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Mathematics in Transport

Proceedings of the Fourth Ima International Conference on Mathematics in Transport in Honour of Richard Allsop

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Hardcover

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