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

Comments

©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

Identifier

DOI: 10.1109/ITSC.2007.4357775

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