Generalized M/G/C/C state dependent queueing models and pedestrian traffic flows

Generalized M/G/C/C state dependent queueing models and pedestrian traffic flows

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Article ID: iaor19942498
Country: United States
Volume: 15
Start Page Number: 365
End Page Number: 386
Publication Date: Jun 1994
Journal: Queueing Systems
Authors:
Keywords: networks
Abstract:

The generality and usefulness of M/G/C/C state dependent queueing models for modelling pedestrian traffic flows is explored in this paper. The paper demonstrates that the departure process and the reversed process of these generalized M/G/C/C queues is a Poisson process and that the limiting distribution of the number of customers in the queue depends on G only through its mean. Consequently, the models developed in this paper are useful not only for the analysis of pedestrian traffic flows, but also for the design of the physical systems accommodating these flows. The paper demonstrates how the M/G/C/C state dependent model is incorporated into the modelling of large scale facilities where the blocking probabilities in the links of the network can be controlled. Finally, extensions of this work to queueing network applications where blocking cannot be controlled are also presented, and it examines an approximation technique based on the expansion method for incorporating these M/G/C/C queues in series, merge, and splitting topologies of these networks.

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