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Improved Algorithm about the Maximum Flow in Road Network Using Auxiliary Graph Theory
Authors:Pingsheng LI  Bin LI  Xiaoli XIE  Meng WANG
Institution:1. Transportation College, Southeast University, Nanjing 210096, China;2. National Intelligent Transport Systems Center of Engineering and Technology, Beijing 100088, China;3. Beijing University of Technology, Beijing 100022, China
Abstract:In road network planning, locating the key sections will be very useful to solve the traffic bottleneck. Locating the key sections is equal to finding the maximum flow. To begin with, this paper analyzed and compared kinds of methods solving the network maximum flow problem. Second, this paper pointed out a convenient method based on the auxiliary graph theory and Dijkstra method. That is to say, the method could be used to get the minimum cutset and the maximum flow using the shortest path algorithm, and the VC++ program was also used. Finally, based on the road network of Tianjin, an example was given for further explanation. Through comparison, we know that it is a convenient method to locate the key sections and can support the transportation planning and management with theoretical basis and data.
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