A congestion-pricing problem with a polycentric region and multi-class users: a continuum modelling approach
A congestion-pricing problem with a polycentric region and multi-class users: a continuum modelling approach
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多中心区域和多类用户的拥堵定价问题：连续统建模方法
DOI：
10.1080/18128602.2011.621652
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
["H. Ho
中科院分区：
文献类型：
--
作者：
["H. Ho
考虑一个任意形状的区域，其中多个城市竞争在该区域上连续分布的多类用户。在这个区域内，道路网络被表示为一个连续体，用户以二维连续体交通系统的形式光顾他们选择的城市。指定了Logit类型的分布函数来对不同类别的用户做出的概率目的地选择进行建模。本文针对这一多等级多城市连续运输系统，研究了两种不同的拥挤定价模型。第一个模型侧重于效用最大化，它确定使系统总效用最大化的最优收费费率，而第二个模型是基于警戒线的拥堵定价模型，它提供了一种次优但更实用的收费策略。这两个模型都用有限元方法和一种很有前途的牛顿算法来求解。最后给出了一个数值算例，说明了该数学程序和求解算法的有效性。
Consider a region of arbitrary shape with multiple cities competing for multi-class users that are distributed continuously over the region. Within this region, the road network is represented as a continuum and users patronise in a two-dimensional continuum transportation system to their chosen city. A logit-type distribution function is specified to model the probabilistic destination choices made by the different classes of users. In this article, two different congestion-pricing models for this multi-class and multi-city continuum transportation system are studied. The first model focused on utility maximisation, which determines the optimal toll rates that maximise the total utility of the system, while the second model is a cordon-based congestion-pricing model that offers a sub-optimal but more practical tolling strategy. Both models are solved by finite element method and a promising Newtonian-based solution algorithm. A numerical example is given to show the effectiveness of the mathematical program and solution algorithm.