Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach
Liangze Yang (),
S. C. Wong (),
H. W. Ho (),
Mengping Zhang () and
Chi-Wang Shu ()
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Liangze Yang: School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China
S. C. Wong: Department of Civil Engineering, The University of Hong Kong, Hong Kong, China; Guangdong-Hong Kong-Macau Joint Laboratory for Smart Cities, The University of Hong Kong, Hong Kong, China
H. W. Ho: Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China
Mengping Zhang: School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China
Chi-Wang Shu: Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912
Transportation Science, 2022, vol. 56, issue 5, 1111-1134
Abstract:
Recent decades have seen increasing concerns regarding air quality in housing locations. This study proposes a predictive continuum dynamic user-optimal model with combined choice of housing location, destination, route, and departure time. A traveler’s choice of housing location is modeled by a logit-type demand distribution function based on air quality, housing rent, and perceived travel costs. Air quality, or air pollutants, within the modeling region are governed by the vehicle-emission model and the advection-diffusion equation for dispersion. In this study, the housing-location problem is formulated as a fixed-point problem and the predictive continuum dynamic user-optimal model with departure-time consideration is formulated as a variational inequality problem. The Lax-Friedrichs scheme, the fast-sweeping method, the Goldstein-Levitin-Polyak projection algorithm, and self-adaptive successive averages are adopted to discretize and solve these problems. A numerical example is given to demonstrate the characteristics of the proposed housing-location choice problem with consideration of air quality and to demonstrate the effectiveness of the solution algorithms.
Keywords: predictive dynamic user-optimal model; departure time; variational inequality; continuum model; housing location choice (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:56:y:2022:i:5:p:1111-1134
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