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Departure time choice, cost functions and congestion

Addison, JD; Heydecker, BG; (1998) Departure time choice, cost functions and congestion. In: (Proceedings) Proceedings of the 30th UTSG Annual Conference, Trinity College Dublin.

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Type: Proceedings paper
Title: Departure time choice, cost functions and congestion
Event: Proceedings of the 30th UTSG Annual Conference, Trinity College Dublin
Dates: January 3998
Additional information: Using the theoretical work reported in last year's (1997) UTSG we report on how the properties of arrival cost functions influence the rise, timing and duration of congestion. Our theoretical work showed that the inflow for a user equilibrium is determined by the outflows and the derivatives of the cost functions. Using this relation we show using simple examples how sharply falling penalties for early arrival result in a sharp rise in congestion delays and reduce the throughput of the network for a given cost to each traveller. Although the maximum delay experienced is determined by the cost incurred by the first traveller, the variation in arrival cost function effects the timing and duration of period of high inflow. Traditionally the arrival cost has been taken to be convex; we will examine the effect of non-convex arrival costs and show how that can control the timing of the peak inflow. We illustrate these effects with a number of different cost functions
Keywords: congestion, control, costs, delay, demand, departure time choice, DERIVATIVES, dynamic modelling, Equilibrium, Network, networks, Property, Show, traffic assignment, work
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/55435
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