United States Department of Transportation
i
Multi-Hazard Evacuation Route and Shelter Planning for Buildings
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2014-06-01
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[PDF-1.22 MB]
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Abstract:A bi-level, two-stage, binary stochastic program with equilibrium constraints, and three variants, are presented that support the planning and design of shelters and exits, along with hallway fortification strategies and associated evacuation paths in buildings. At the upper level, decisions are made regarding exit design, hallway fortification, and the location of shelters, their size and level of protection, with the objective of minimizing the expected maximum endured risk over all scenarios. At the lower level, the choice of evacuation routes by the users, following the upper-level design decisions, is modeled as a user equilibrium problem, where each individual seeks to minimize his/her risk exposure. Model variants involve both stochastic programming and robust optimization concepts under both user equilibrium (selfish) and system optimal (altruistic) conditions. Piecewise linearization of travel time functions and a disjunctive constraints transformation method that converts the single-level equivalent math program with complementarity constraints to a mixed integer program are employed to eliminate model nonlinearities. Integer L-shaped decomposition is adopted for solution of all four variants.
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