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Convexity and Robustness of Dynamic Network Traffic Assignment for Control of Freeway Networks

Como, Giacomo LU ; Lovisari, Enrico LU and Savla, Ketan (2016) In 14th IFAC Symposium on Control in Transportation SystemsCTS 2016 49(3). p.335-340
Abstract
We study System Optimum Dynamic Traffic Assignment (SO-DTA) for realistic traffic dynamics controlled by variable speed limits, ramp metering, and routing controls. We consider continuous-time cell-based Dynamic Network Loading models that include the Cell Transmission Model with FIFO rule at the diverge junctions as well as non-FIFO diverge rules. We consider SO-DTA formulations in which the total inflow into and the total outflow from the cells are independently constrained by concave supply and demand functions, respectively, thus preserving convexity. We design open-loop controllers that guarantee that the optimal solutions are feasible with respect to realistic traffic dynamics, and we develop this methodology for two variants of the... (More)
We study System Optimum Dynamic Traffic Assignment (SO-DTA) for realistic traffic dynamics controlled by variable speed limits, ramp metering, and routing controls. We consider continuous-time cell-based Dynamic Network Loading models that include the Cell Transmission Model with FIFO rule at the diverge junctions as well as non-FIFO diverge rules. We consider SO-DTA formulations in which the total inflow into and the total outflow from the cells are independently constrained by concave supply and demand functions, respectively, thus preserving convexity. We design open-loop controllers that guarantee that the optimal solutions are feasible with respect to realistic traffic dynamics, and we develop this methodology for two variants of the SO-DTA problem, one of which accounts for exogenous turning ratios. Robustness of the system trajectory under the proposed controllers is evaluated by deriving bounds on the deviations induced by perturbations of the initial condition and of the external inflows. (Less)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
14th IFAC Symposium on Control in Transportation SystemsCTS 2016
volume
49
issue
3
pages
335 - 340
external identifiers
  • scopus:84991089214
  • wos:000381502600056
DOI
10.1016/j.ifacol.2016.07.056
language
English
LU publication?
yes
id
66f43c87-f7b9-4767-abeb-a4f39ab06f63
date added to LUP
2016-08-26 11:03:07
date last changed
2017-09-18 11:28:45
@inproceedings{66f43c87-f7b9-4767-abeb-a4f39ab06f63,
  abstract     = {We study System Optimum Dynamic Traffic Assignment (SO-DTA) for realistic traffic dynamics controlled by variable speed limits, ramp metering, and routing controls. We consider continuous-time cell-based Dynamic Network Loading models that include the Cell Transmission Model with FIFO rule at the diverge junctions as well as non-FIFO diverge rules. We consider SO-DTA formulations in which the total inflow into and the total outflow from the cells are independently constrained by concave supply and demand functions, respectively, thus preserving convexity. We design open-loop controllers that guarantee that the optimal solutions are feasible with respect to realistic traffic dynamics, and we develop this methodology for two variants of the SO-DTA problem, one of which accounts for exogenous turning ratios. Robustness of the system trajectory under the proposed controllers is evaluated by deriving bounds on the deviations induced by perturbations of the initial condition and of the external inflows.},
  author       = {Como, Giacomo and Lovisari, Enrico and Savla, Ketan},
  booktitle    = {14th IFAC Symposium on Control in Transportation SystemsCTS 2016 },
  language     = {eng},
  number       = {3},
  pages        = {335--340},
  title        = {Convexity and Robustness of Dynamic Network Traffic Assignment for Control of Freeway Networks},
  url          = {http://dx.doi.org/10.1016/j.ifacol.2016.07.056},
  volume       = {49},
  year         = {2016},
}