 Award ID(s):
 1912735
 NSFPAR ID:
 10356572
 Date Published:
 Journal Name:
 IMA Journal of Numerical Analysis
 ISSN:
 02724979
 Format(s):
 Medium: X
 Sponsoring Org:
 National Science Foundation
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Recent decades have seen increasing concerns regarding air quality in housing locations. This study proposes a predictive continuum dynamic useroptimal model with combined choice of housing location, destination, route, and departure time. A traveler’s choice of housing location is modeled by a logittype 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 vehicleemission model and the advectiondiffusion equation for dispersion. In this study, the housinglocation problem is formulated as a fixedpoint problem and the predictive continuum dynamic useroptimal model with departuretime consideration is formulated as a variational inequality problem. The LaxFriedrichs scheme, the fastsweeping method, the GoldsteinLevitinPolyak projection algorithm, and selfadaptive successive averages are adopted to discretize and solve these problems. A numerical example is given to demonstrate the characteristics of the proposed housinglocation choice problem with consideration of air quality and to demonstrate the effectiveness of the solution algorithms.more » « less

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