Optimal recovery plan after disaster: Continuum modeling approach

H. W. Ho, Agachai Sumalee

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


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 normaltravel 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.
Original languageEnglish
Article number04014034
JournalJournal of Transportation Engineering
Issue number8
Publication statusPublished - 1 Jan 2014


  • Bilevel model
  • Continuum transportation system
  • Optimal recovery plan
  • Sensitivity analysis

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Transportation


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