Steady-state and N-stages control for isolated controlled intersections

J. Haddad, B. De Schutter, D. Mahalel, and P.-O. Gutman, "Steady-state and N-stages control for isolated controlled intersections," Proceedings of the 2009 American Control Conference, St. Louis, Missouri, pp. 2843-2848, June 2009.

In this paper a simplified isolated controlled intersection is introduced. Discrete-event piecewise affine (PWA) and discrete-event max-plus models are proposed to formulate the optimization problem for the switching sequences. Two control problems are considered: steady-state control and N-stages control. The formulated discrete-event PWA and max-plus problems are converted to be solved by linear programming (LP), mixed-integer programming (MIP), and mixed-integer linear programming (MILP). In the special case when the criterion is a strictly monotonous and linear function of the queue lengths, the steady-state control problem is solved analytically.

 * Corresponding technical report: pdf file (133 KB)
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Bibtex entry:

        author={J. Haddad and B. {D}e Schutter and D. Mahalel and P.-O. Gutman},
        title={Steady-state and {N}-stages control for isolated controlled intersections},
        booktitle={Proceedings of the 2009 American Control Conference},
        address={St.\ Louis, Missouri},

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