The problem of optimal control of pedestrian evacuation from a corridor has been addressed. The corridor has been treated as a one dimensional link in the building network from which the pedestrians have to be evacuated. The governing flow equations are derived from the discretized continuity equation and a flow density relation for the pedestrian flow. Necessary conditions for the optimal control of these differential equations are developed using the calculus of variations method. The necessary conditions constitute a 2 point boundary value problem that has to be solved for the state, the co-state and the optimal control. Method of steepest descent is used to solve this problem. Numerical results are presented in the end for a test case.


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    Title :

    Optimal Control of Pedestrian Evacuation in a Corridor


    Contributors:


    Publication date :

    2007-09-01


    Size :

    542504 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English




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