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A Continuum Model for Housing Allocation and Transportation Emission Problems in a Polycentric City

机译:多中心城市住房分配与运输排放问题的连续模型

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The effect of vehicle emissions on the global climate has prompted increasing concern in the past few decades. Housing development patterns determine people's travel behavior and related vehicle emissions. In this study, we consider a hypothetical city with several central business districts (CBDs) serving several classes of road users, which are continuously distributed over the city. The road network is relatively dense and can be approximated as a continuum. We establish a bi-level model to describe the relationships among housing allocation, traffic volume, and CO_2 emissions with a continuum modeling approach. At the lower level, the model achieves the user equilibrium condition of a transport system. At the upper level, it optimizes housing allocation to achieve minimum CO_2 emissions. The finite element method, Newton-Raphson algorithm, and convex combination approach are applied to solve the constrained optimization problem established in the bi-level model. A numerical example is then given to illustrate the effectiveness and efficiency of the proposed bi-level approach and solution algorithm in modeling transport demand, traffic intensity, and CO_2 emissions with an optimized housing development pattern.
机译:在过去的几十年中,汽车排放对全球气候的影响引起了越来越多的关注。住房发展模式决定人们的出行行为和相关的车辆排放。在这项研究中,我们假设一个具有多个中央商务区(CBD)的虚拟城市,为多个类别的道路使用者提供服务,这些区域连续分布在城市中。道路网络相对密集,可以近似为一个连续体。我们建立了一个双层模型,以连续模型方法描述住房分配,交通量和CO_2排放之间的关系。在较低级别,该模型实现了运输系统的用户平衡条件。在高层,它优化了住房分配,以实现最低的CO_2排放量。应用有限元法,牛顿-拉夫森算法和凸组合法求解双层模型中建立的约束优化问题。然后给出一个数值示例,以说明所提出的双层方法和解决方案算法在以优化的住房开发模式对运输需求,交通强度和CO_2排放进行建模的有效性和效率。

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