Document Type
Conference Proceeding
Publication Date
2007
Publication Title
IEEE Conference on Intelligent Transportation Systems
Publisher
Institute of Electrical and Electronics Engineers
First page number:
385
Last page number:
390
Abstract
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.
Keywords
Control systems; Crowds; Evacuation of civilians; Pedestrian traffic flow
Repository Citation
Shende, A.,
Kachroo, P.,
Reddy, C. K.,
Singh, M.
(2007).
Optimal Control of Pedestrian Evacuation in a Corridor.
IEEE Conference on Intelligent Transportation Systems
385-390.
Institute of Electrical and Electronics Engineers.
https://digitalscholarship.unlv.edu/ece_fac_articles/100
Comments
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