Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach
Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach
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DOI：
10.1287/trsc.2021.1116
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发表时间：
2022-06
期刊：
影响因子：
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通讯作者：
Liangze Yang;S. Wong;H. Ho;Mengping Zhang;Chi-Wang Shu
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文献类型：
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作者：
Liangze Yang;S. Wong;H. Ho;Mengping Zhang;Chi-Wang Shu
近几十年来，人们越来越关注住宅区的空气质量。本研究提出一个预测连续动态用户最优模型，结合选择住房的位置，目的地，路线和出发时间。旅行者对住房位置的选择是基于空气质量、住房租金和感知旅行成本的logit型需求分布函数建模的。模拟区域内的空气质量或空气污染物由车辆排放模型和对流扩散方程控制。在这项研究中，住房选址问题被制定为一个固定点问题和预测连续动态用户最优模型与出发时间的考虑制定为变分不等式问题。采用Lax-Friedrichs格式、快速扫描法、Goldstein-Levitin-Polyak投影算法和自适应逐次平均法对这些问题进行离散求解。最后通过一个算例说明了考虑空气质量的住宅选址问题的特点和求解算法的有效性。
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.