A simplified isolated controlled vehicular traffic intersection with two movements is considered. A discrete-event max-plus model is proposed to formulate an optimization problem for the green-red switching sequence. In the case when the criterion is a strictly increasing, linear function of the queue lengths, the problem becomes a linear programming problem. Also, in this case, the steady-state control problem can be solved analytically. A sufficient and necessary condition for steady-state control is derived, and the structure of optimal steady-state traffic control is revealed. Our condition is the same as the necessary condition in for both queue lengths to be non-increasing at an isolated intersection.


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    Title :

    Optimal Steady-State Control for Isolated Traffic Intersections


    Contributors:

    Published in:

    Publication date :

    2010


    Size :

    6 Seiten, 17 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




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