OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS
نویسندگان
چکیده
منابع مشابه
Optimal Paths Related to Transport Problems
In transport problems of Monge’s types, the total cost of a transport map is usually an integral of some function of the distance, such as |x − y|. In many real applications, the actual cost may naturally be determined by a transport path. For shipping two items to one location, a “Y shaped” path may be preferable to a “V shaped” path. Here, we show that any probability measure can be transport...
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In this article, we provide a model to study urban transport network by means of optimal transport paths recently studied by the author. Under this model, we can set up an optimal urban transport network of finite total cost which provide access to all residents from their home to their destinations. The quality of the road depends on the traffic density it carries, which make it necessary to b...
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The optimal transport problem aims at finding an optimal way to transport a given probability measure into another. In contrast to the wellknown Monge-Kantorovich problem, the ramified optimal transportation problem aims at modeling a tree-typed branching transport network by an optimal transport path between two given probability measures. An essential feature of such a transport path is to fa...
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Transport networks with branching structures are observable not only in nature as in trees, blood vessels, etc. but also in efficiently designed transport systems such as used in railway configurations and postage delivery networks. Mathematically, such a branching transport network is modeled by an optimal transport path between two probability measures (representing the source and the target)...
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The problem of optimal transport, originally proposed by Monge, has a long history of investigation and application ([18] is an extensive reference). Roughly stated, the problem involves one who has an initial configuration of mass and would like to transport it to a terminal configuration of mass, doing so at least cost. For instance, one might have a set of water towers and a region of drough...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2003
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s021919970300094x