Highlights We have introduced the effect of delay in walking in the queueing model. Suitable type of queueing system under various conditions is investigated. It is impossible to obtain our realistic result from the conventional queueing theory. Enhanced queueing systems which reduce the effect of walking distance are proposed. Our results are verified by queueing experiments with real pedestrians.

    Abstract We have introduced the effect of delay in walking from the head of a queue to the service windows in the queueing model and obtain a suitable type of queueing system under various conditions by both computational simulation and theoretical analysis. When there are multiple service windows, the queueing theory indicates that mean waiting time in a fork-type queueing system (Fork), which collects pedestrians into a single queue, is smaller than that in a parallel-type queueing system (Parallel), i.e., queues for each service window. However, in our walking-distance introduced queueing model, we have examined that mean waiting time in Parallel becomes smaller when both the arrival probability of pedestrians and the effect of walking distance are large. Moreover, enhanced Forks, which shorten waiting time by reducing the effect of walking distance, are considered, and parts of our results are also verified by real queueing experiments.


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    Title :

    Walking-distance introduced queueing model for pedestrian queueing system: Theoretical analysis and experimental verification


    Contributors:


    Publication date :

    2013-04-17


    Size :

    22 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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