Pedestrian Evacuation Optimization Dynamic Programming in Continuous Space and Time

Serge P. Hoogendoorn (), Winnie Daamen (), Dorine C. Duives () and Femke L. M. van Wageningen-Kessels ()
Additional contact information
Serge P. Hoogendoorn: Delft University of Technology
Winnie Daamen: Delft University of Technology
Dorine C. Duives: Delft University of Technology
Femke L. M. van Wageningen-Kessels: Delft University of Technology

A chapter in Traffic and Granular Flow '13, 2015, pp 31-40 from Springer

Abstract: Abstract This paper deals with the optimal allocation of routes, destination, and departure times to members of a crowd, for instance in case of an evacuation or another hazardous situation in which the people need to leave the area as quickly as possible. The generic approach minimizes the evacuation times, considering the demand dependent waiting times at bottlenecks within the considered infrastructure. We present the mathematical optimization problem for both the optimal instructions, and the continuum model describing the pedestrian flow dynamics. The key contribution of the approach is that it solves the evacuation problem considering the entire solution space in a continuous manner (i.e. both the time dimension and the routing), implying that for each location and for each time instant the optimal path towards the most favorable exit is calculated, taking into consideration the traffic flow operations along the routes. The approach is generic in the sense that different network loading models can be used, and that a variety of components can be added to the optimization objective without loss of generality. Next to presenting the framework and the mathematical model, we propose an iterative numerical solver to compute the optimal instructions. We demonstrate the abilities and opportunities of this optimization framework with two case studies.

Keywords: Optimal Path; Route Choice; Evacuation Time; Safe Haven; Fundamental Diagram (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10629-8_4

Ordering information: This item can be ordered from
http://www.springer.com/9783319106298

DOI: 10.1007/978-3-319-10629-8_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().