| 1. |
Pisarski D.♦, Canudas-de-Wit C.♦, Optimal balancing of freeway traffic density: Application to the Grenoble South Ring,
ECC 2013, 12th biannual European Control Conference, 2013-07-17/07-19, Zurich (CH), pp.4021-4026, 2013 Abstract:
This paper presents the application of the idea of optimal balancing of traffic density distribution. The idea was previously studied in the papers [1], [2], and here it is implemented to the Grenoble South Ring in the context of the Grenoble Traffic Lab. The traffic on the ring is represented by the Cell Transmission Model that was tuned by using real data and Aimsun micro-simulator. A special attention is paid to the calibration of a flow merging model. A large-scale optimization problem is solved by using decomposition methods and it is implemented by introducing combinatorial procedures. The main difficulties in the implementation as well as the limitations of the designed software are highlighted. Finally, the results of different traffic scenarios on the Grenoble South Ring are presented. Affiliations:
| Pisarski D. | - | other affiliation | | Canudas-de-Wit C. | - | CNRS (FR) |
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| 2. |
Pisarski D.♦, Canudas-de-Wit C.♦, Optimal Balancing of Road Traffic Density Distributions for the Cell Transmission Model,
CDC, 51st IEEE Annual Conference on Decision and Control, 2012-12-10/12-13, Maui (US), DOI: 10.1109/CDC.2012.6426749, pp.6969-6974, 2012Abstract:
In this paper, we study the problem of optimal balancing of traffic density distributions. The optimization is carried out over the sets of equilibrium points for the Cell Transmission Traffic Model. The goal is to find the optimal balanced density distribution that maximizes the Total Travel Distance. The optimization is executed in two steps. At the first step, we consider a nonlinear problem to find a uniform density distribution that maximizes the Total Travel Distance. The second step is to solve the constrained quadratic problem to find the near balanced optimal equilibrium point. At both steps, we use decomposition methods. The quadratic optimization problem is solved by using the Dual Problem. The computational algorithms associated to such a problem are given. Keywords:
Traffic control, Optimization, Vectors, Vehicles, Equations, Boundary conditions Affiliations:
| Pisarski D. | - | other affiliation | | Canudas-de-Wit C. | - | CNRS (FR) |
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| 3. |
Pisarski D.♦, Canudas-de-Wit C.♦, Analysis and Design of Equilibrium Points for the Cell-Transmission Traffic Model,
ACC, American Control Conference, 2012-06-27/06-29, Montréal (CA), DOI: 10.1109/ACC.2012.6315050, pp.5763-5768, 2012Abstract:
The problem of equilibrium points for the Cell Transmission Model is studied. The structure of equilibrium sets is analyzed in terms of model parameters and boundary conditions. The goal is to determine constant input flows, so that the resultant steady state of vehicle density is uniformly distributed along a freeway. The necessary and sufficient conditions for the existence of one-to-one relation between input flow and density are derived. The equilibrium sets are described by formulas that allow to design a desired balanced density. A numerical example for the case of a two-cell system is presented. Keywords:
Traffic control, Vectors, Vehicles, Equations, Boundary conditions, Steady-state Affiliations:
| Pisarski D. | - | other affiliation | | Canudas-de-Wit C. | - | CNRS (FR) |
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