Optimal Balancing of Road Traffic Density Distributions for the Cell Transmission Model

Dominik Pisarski 1 Carlos Canudas de Wit 1
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : 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.
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Dominik Pisarski, Carlos Canudas de Wit. Optimal Balancing of Road Traffic Density Distributions for the Cell Transmission Model. 51st IEEE Conference on Decision and Control (CDC 2012), Dec 2012, Maui, Hawaii, United States. ⟨hal-00727783⟩

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