Optimal Recovery Plan after Disaster: Continuum Modeling Approach
Publication: Journal of Transportation Engineering
Volume 140, Issue 8
Abstract
This paper presents an application of continuum traffic equilibrium model for the design of optimal recovery plan after a disaster. The continuum traffic equilibrium model is adopted for its strength in defining: (1) alternative routes after disaster; (2) spatially varied impacts of the disaster; and (3) continuously distributed demand. In this study, demands for emergency services, reconstruction activities, and normal-travel activities are separately modeled throughout the recovery period. A bilevel model is set up for designing the optimal recovery plan in the modeled region. At the lower-level model, sets of differential equations are constructed to describe the traffic equilibrium problems at different times of the recovery period. In the upper-level model, a constrained minimization problem is set up to find the optimal recovery plan such that the total travel cost is minimized and the demand of normal/reconstruction traffic is maximized throughout the recovery period. A sensitivity-based solution algorithm that adopts the finite element method (FEM) is proposed to solve the bilevel model, and a numerical example is completed to demonstrate the characteristics of the proposed model.
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Acknowledgments
The work that is described in this paper was supported by the General Research Fund from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. PolyU 5290/09E).
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Published In
Journal of Transportation Engineering
Volume 140 • Issue 8 • August 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Aug 24, 2013
Accepted: Jan 31, 2014
Published online: May 8, 2014
Published in print: Aug 1, 2014
Discussion open until: Oct 8, 2014
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