Reference:
J. Haddad,
D. Mahalel,
B. De Schutter,
I. Ioslovich, and
P.-O. Gutman,
"Optimal steady-state traffic control for isolated intersections,"
Proceedings of the 6th IFAC Symposium on Robust Control Design
(ROCOND'09), Haifa, Israel, pp. 96-101, June 2009.
Abstract:
In this paper a simplified isolated controlled intersection is
introduced. A discrete-event max-plus model is proposed to formulate
the optimization problem for the switching sequences. The formulated
max-plus problem is converted to be solved by linear programming (LP).
In the special case when the criterion is a strictly increasing and
linear function of the queue lengths, the steady-state control problem
can be solved analytically. In addition, necessary condition for the
steady-state control is derived.