Addison, JD;
Heydecker, BG;
(1998)
System Optimal Assignment With Departure Time Choice.
In: Griffiths, JD, (ed.)
Mathematics in transport planning and control.
(pp. 145 - 154).
Emerald Group Publishing Limited: Leeds, UK.
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Abstract
This paper investigates the temporal inflow profile that minimises the total cost of travel for a single route. The problem is formulated to consider the case in which the total demand to be serviced is fixed. The approach used here is a direct calculation of the first order variation of total system cost with respect to variations in the inflow profile. Two traffic models are considered; the bottleneck with deterministic queue and the kinematic wave model. For the bottleneck model a known solution is recovered. The wave model proves more difficult and after eliminating the possibility of a smooth inflow profile the restricted case of constant inflow is solved. As the space of possible profiles is finite dimensional in this case, the standard techniques of calculus apply. We establish a pair of equations that are satisfied simultaneously by the optimal inflow and time of first departure.
| Type: | Proceedings paper |
|---|---|
| Title: | System Optimal Assignment With Departure Time Choice |
| Event: | 3rd IMA International Conference on Mathematics in Transport Planning and Control 1998 |
| Location: | UNIV WALES, CARDIFF, WALES |
| Dates: | 1998-04-01 - 1998-04-03 |
| ISBN-13: | 9780080434308 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1108/9780585474182-014 |
| Publisher version: | https://doi.org/10.1108/9780585474182-014 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/739089 |
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