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城市交通拥挤问题的探讨
引用本文:辛玉梅,阮如江,雷洪川.城市交通拥挤问题的探讨[J].应用数学,2007,20(1):31-36.
作者姓名:辛玉梅  阮如江  雷洪川
作者单位:上海交通大学数学系,上海,200240
摘    要:本文探讨了城市交通拥挤问题的解决方法.根据道路的拥挤状况引入畅通度的概念,量化了道路的拥挤程度.在道路的物理距离的基础上加入畅通因素把它转化为一种新的距离,这样使原有寻找最短路径的算法能继续适用.同时本文详细介绍了公路网络中信息的存储方法:Coordinate Storage(COO),Compressed Sparse Row(CSR),Compressed Sparse Column(CSC),Block Sparse Row,以及最短路径的搜索算法:Dijkstra算法和Bellman—ford算法,同时给出了Dijkstra算法步骤和它的最新改进算法.

关 键 词:交通拥挤  畅通度  最短路径
文章编号:1001-9847(2007)01-0031-05
修稿时间:2006-02-23

A Discussion of the Traffic Jam Problem in Cities
XIN Yu-mei,RUAN Ru-jiang,LEI Hong-chuan.A Discussion of the Traffic Jam Problem in Cities[J].Mathematica Applicata,2007,20(1):31-36.
Authors:XIN Yu-mei  RUAN Ru-jiang  LEI Hong-chuan
Institution:Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China
Abstract:This paper discusses the method of solving the problem of traffic jam in cities.According to the status of jam we introduce a concept called expediency,making the status of expediency measurable,menawhile,we add the expediency factor into the physical distance and get a new kind of distance so that the algorithm searching for shortest path can still be suitable.Besides this paper talks about the storage methods:Coordinate Storage(COO),Compressed Sparse Row(CSR),Compressed Sparse Column(CSC),Block Sparse Row,and the shortest path algorithm:Dijkstra algorithm and Bellman-ford algorithm,then we give the steps of dijkstra algorithm and its latest speed-up algorithm.
Keywords:Traffic jam  Expediency  Shortest path
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