Three Optimization Problems in Mass Transportation Theory

Three Optimization Problems in Mass Transportation Theory
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公共交通理论中的三个优化问题

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发表时间:
2006
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通讯作者:
G. Buttazzo
G. Buttazzo
中科院分区:
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文献类型:
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作者:
G. Buttazzo

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我们给出了一个模型的描述城市交通网络,我们认为相关的优化问题,其中包括在寻找具有最佳运输性能的网络的设计。这将通过为每个容许网络引入一个合适的度量空间来完成,该度量空间具有插入到Monge-Kantorovich成本泛函中的距离,该距离提供了要优化的标准。与城市交通网络的优化设计一起,可以考虑与公共交通相关的其他类型的优化问题。特别是,我们将说明一些模型的城市的最优设计,并在给定的交通网络的最优定价政策。
We give a model for the description of an urban transportation network and we consider the related optimization problem which consists in finding the design of the network which has the best transportation performances. This will be done by introducing, for every admissible network, a suitable metric space with a distance that inserted into the Monge-Kantorovich cost functional provides the criterion to be optimized. Together with the optimal design of an urban transportation network, other kinds of optimization problems related to mass transportation can be considered. In particular we will illustrate some models for the optimal design of a city, and for the optimal pricing policy on a given transportation network.