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Compromising system and user interests in shelter location and evacuation planning
- Source :
- Transportation Research Part B: Methodological
- Publication Year :
- 2015
- Publisher :
- Elsevier, 2015.
-
Abstract
- Cataloged from PDF version of article. Traffic management during an evacuation and the decision of where to locate the shelters are of critical importance to the performance of an evacuation plan. From the evacuation management authority’s point of view, the desirable goal is to minimize the total evacuation time by computing a system optimum (SO). However, evacuees may not be willing to take long routes enforced on them by a SO solution; but they may consent to taking routes with lengths not longer than the shortest path to the nearest shelter site by more than a tolerable factor. We develop a model that optimally locates shelters and assigns evacuees to the nearest shelter sites by assigning them to shortest paths, shortest and nearest with a given degree of tolerance, so that the total evacuation time is minimized. As the travel time on a road segment is often modeled as a nonlinear function of the flow on the segment, the resulting model is a nonlinear mixed integer programming model. We develop a solution method that can handle practical size problems using second order cone programming techniques. Using our model, we investigate the importance of the number and locations of shelter sites and the trade-off between efficiency and fairness. 2014 Elsevier Ltd. All rights reserved.
- Subjects :
- Engineering
Travel time
System-optimal
Operations research
Traffic control
shelter
Poison control
Transportation
Management Science and Operations Research
Transport engineering
Constrained System Optimal
Constrained systems
Second Order Cone Programming
Point (geometry)
Evacuation Traffic Management
Nonlinear mixed integer programming
Integer programming
Civil and Structural Engineering
Shelter locations
Economic and social effects
business.industry
Traffic management
System optimal
Evacuation plan
Shelter Location
Emergency traffic control
Traffic Assignment System Optimal
Graph theory
Second-order cone programming
hazard management
Shortest path problem
Traffic assignment
business
numerical model
Decision making
optimization
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Transportation Research Part B: Methodological
- Accession number :
- edsair.doi.dedup.....9cc91e1660e13aa3b14427b4f7e74eb4