Realistic Stride Length Adaptation in the Optimal Steps Model

Isabella von Sivers () and Gerta Köster ()
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Isabella von Sivers: Munich University of Applied Sciences
Gerta Köster: Munich University of Applied Sciences

A chapter in Traffic and Granular Flow '13, 2015, pp 171-178 from Springer

Abstract: Abstract Pedestrians move freely in an open space by stepping forward. When the navigational situation becomes difficult, say in a dense crowd, they adjust their stride length and speed. The Optimal Steps Model uses local optimization on a circle around a pedestrian to determine the next position. The target function is a navigational field. Each individual’s stride length, that is, the circle radius depends on his or her speed. This introduces a delay in adaptation, because all speed measurements involve the past. A real person, however, is more likely to react instantaneously. We model this effectively by optimizing on a disk instead of a circle. The radius is chosen in accordance with the pedestrian’s free-flow velocity. A two dimensional continuous optimization problem ensues that we solve efficiently thus maintaining fast computational speed. Our simulations closely match real walking behavior which we demonstrate for navigation around a column in a narrow corridor and behavior at a bottleneck.

Keywords: Optimal Steps Model; Stride Length; Navigational Situation; Free Flow Velocity; Crowd Density (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10629-8_20

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DOI: 10.1007/978-3-319-10629-8_20

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