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.
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