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工程施工中运输网络优化方案
引用本文:马军,解建仓,刘瑞雪,祝君. 工程施工中运输网络优化方案[J]. 数学的实践与认识, 2003, 33(8): 24-31
作者姓名:马军  解建仓  刘瑞雪  祝君
作者单位:西安理工大学,西安,710048
摘    要:施工工地运输方案的优化设计可以归结为 :按施工期要求设计运输线路或验证已有线路通行能力 ,计算总线路中影响提高流量的关键路段 ,取得最小费用最大流 .本文运用图论理论这一数学工具把实际问题抽象为有向网络 ,进而建立数学模型 .此方法理论上严密 ,解题步聚直观清晰 ,对水利、公路、水路、铁路等其它运输系统有普遍意义 .

关 键 词:最小费用最大流  关键路段  通路  可增广路  最小割  割集  赋权图  网络
修稿时间:2001-05-14

The Optimizing Project of Transportation Network in Works Construction
MA Jun, XIE Jian-cang, LIU Rui-xue, ZHU Jun. The Optimizing Project of Transportation Network in Works Construction[J]. Mathematics in Practice and Theory, 2003, 33(8): 24-31
Authors:MA Jun   XIE Jian-cang   LIU Rui-xue   ZHU Jun
Abstract:the optimization design of the const ruction site transportation scheme can be summed up as the following: the least expenditure and the largest flow capacity can be achieved by designing transport ation route according to the requirement of construction period or testing and v erifying the traffic capacity of the established route, and calculating the key sections which can influence the raising of the flow capacity within the whole r oute. Practical matter can be abstracted as directional network by applying the mathematical tool-the diagram theory, so as to establish a mathematical model w hich is strict in theory, directly visual and clear in the steps of problem solv ing. This method has a universal significance for Irrigation works, highway, wat er route and other transportation systems.
Keywords:maximum flow with minimum cost  key pat h section  passage  augmentative path  minimum cut  cut integration  assignment weighted diagram  network  
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