Modelling of the Large Scale Motorway Network Around Amsterdam

IFAC Proceedings Volumes

Papageorgiou

2000

Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Abstract-The goal of this paper is to describe a generic approach to the problem of optimal coordinated ramp metering control in large-scale motorway networks. In this approach, the traffic flow process is macroscopically modeled by use of a second-order macroscopic traffic flow model. The overall problem of coordinated ramp metering is formulated as a constrained discrete-time nonlinear optimal control problem, and a feasible-direction nonlinear optimization algorithm is employed for its numerical solution. The control strategy's efficiency is demonstrated through its application to the 32-km Amsterdam ring road. A number of adequately chosen scenarios along with a thorough analysis, interpretation, and suitable visualization of the obtained results provides a basis for the better understanding of some complex interrelationships of partially conflicting performance criteria. More precisely, the strategy's efficiency and equitey properties as well as their tradeoff are studied and their partially competitive behavior is discussed. The results of the presented approach are very promising and demonstrate the efficiency of the optimal control methodology for motorway traffic control problems.

Section: A Site Descriptionmentioning

confidence: 99%

Nonlinear Optimal Control Applied To Coordinated Ramp Metering

IFAC Proceedings Volumes

Papageorgiou

2000

“…An extensive validation study of METANET, using a source code different than the one employed here, for the Paris ring road is reported by Papageorgiou et al (1990). The METANET validation of the large scale network of the Amsterdam orbital motorways is described in (Kotsialos et al, 2002(Kotsialos et al, , 1998. In (Frejo et al, 2012) a METANET model parameter identification algorithm is discussed using data from a 4.65 km stretch of a California highway; the original expression used for FD in METANET is replaced with a two-regime model and the resulting optimisation problem is solved using a sequential quadratic programming algorithm.…”

Section: Introductionmentioning

confidence: 99%

“…For the modelling of the Paris and Amsterdam sites discussed by Papageorgiou et al (1990); Kotsialos et al (2002Kotsialos et al ( , 1998, the deterministic search algorithm of Box (1965) was used. A cross entropy method is used by Ngoduy and Maher (2012).…”

Section: Introductionmentioning

confidence: 99%

Second order macroscopic traffic flow model validation using automatic differentiation with resilient backpropagation and particle swarm optimisation algorithms

Poole

Transportation Research Part C: Emerging Technologies

2016

The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.

“…The METANET Messmer and Papageorgiou (1990); Kotsialos et al (1998Kotsialos et al ( , 2002 model was employed, treated as a simulation black box. An additional requirement was the automatic spatial assignment, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…The rationale behind this penalisation is that by treating the FD as an extensive quantity whose start and end are decision variables in an optimisation problem, the parameter variance penalty will result to solutions that favour similar FD. This kind of similarity was employed as guidance when validating the large scale model of the Amsterdam motorway networks, Kotsialos et al (1998Kotsialos et al ( , 2002). An additional constraint imposed a maximum number of FD to be used for a site.…”

Section: Introductionmentioning

confidence: 99%

Traffic Flow Model Validation Using METANET, ADOL-C and RPROP

Poole

2016

IFAC-PapersOnLine

Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Abstract: Macroscopic traffic flow model calibration is an optimisation problem typically solved by a derivative-free population based stochastic search methods. This paper reports on the use of a gradient based algorithm using automatic differentiation. The ADOL-C library is coupled with the METANET source code and this system is embedded within an optimisation algorithm based on RPROP. The result is a very efficient system which is able to be calibrate METANET's second order model by determining the density and speed equation parameters as well as the fundamental diagrams used. Information obtained from the system's Jacobian provides extra insight into the system dynamics. A 22 km site is considered near Sheffield, UK and the results of a typical calibration and validation process are reported.