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Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach

Author

Listed:
  • 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)

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.

Suggested Citation

  • Liangze Yang & S. C. Wong & H. W. Ho & Mengping Zhang & Chi-Wang Shu, 2022. "Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach," Transportation Science, INFORMS, vol. 56(5), pages 1111-1134, September.
    • Handle: RePEc:inm:ortrsc:v:56:y:2022:i:5:p:1111-1134
    DOI: 10.1287/trsc.2021.1116
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