The Library
Parameter estimation for macroscopic pedestrian dynamics models from microscopic data
Tools
Tools
Tools
Gomes, Susana N., Stuart, Andrew and Wolfram, Marie-Therese (2019) Parameter estimation for macroscopic pedestrian dynamics models from microscopic data. SIAM Journal on Applied Mathematics, 79 (4). pp. 1475-1500. doi:10.1137/18M1215980 ISSN 0036-1399.
|
PDF
WRAP-parameter-estimation-macroscopic-pedestrian-dynamics-Wolfram-2019.pdf - Accepted Version - Requires a PDF viewer. Download (1583Kb) | Preview |
Official URL: https://doi.org/10.1137/18M1215980
Abstract
In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow of pedestrians in a corridor and assume that the velocity decreases with the average density according to the fundamental diagram. Our model is formed from a coupling between a density dependent stochastic differential equation and a nonlinear partial differential equation for the density, and is hence of McKean--Vlasov type. We discuss identifiability of the parameters appearing in the fundamental diagram from trajectories of individuals, and we introduce optimization and Bayesian methods to perform the identification. We analyze the performance of the developed methodologies in various situations, such as for different in- and outflow conditions, for varying numbers of individual trajectories and for differing channel geometries.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Journal or Publication Title: | SIAM Journal on Applied Mathematics | ||||||
| Publisher: | Society for Industrial and Applied Mathematics | ||||||
| ISSN: | 0036-1399 | ||||||
| Official Date: | 6 August 2019 | ||||||
| Dates: |
|
||||||
| Volume: | 79 | ||||||
| Number: | 4 | ||||||
| Page Range: | pp. 1475-1500 | ||||||
| DOI: | 10.1137/18M1215980 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | First Published in SIAM Journal on Applied Mathematics in 79, (4) 2019, published by the Society for Industrial and Applied Mathematics (SIAM) Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Copyright Holders: | © 2019, Society for Industrial and Applied Mathematics | ||||||
| Date of first compliant deposit: | 28 May 2019 | ||||||
| Date of first compliant Open Access: | 13 August 2019 | ||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
