节点文献
运输网络中最小饱和流的求解
Solve of the Minimum Saturated Flow in the Transportation Network
【摘要】 运输网络中常常由于流量的不可控易发生堵塞现象.网络发生堵塞时的饱和流值达不到最大流值.最小饱和流是运输网络,尤其是紧急疏散网络设计中很重要的一个参数.通过建立网络的割集矩阵来确定网络的堵塞截面,基于此提出了求解最小饱和流的线性规划模型及算法.举例分析表明,利用该算法计算网络最小饱和流更加简便、更加实用.
【Abstract】 In a transportation network,blockage is a kind of phenomenon commonly happened because of uncontrollable flow.The saturated flow of blocking network is less than the maximum flow.It is an important parameter in designing a transport network,especially an emergency evacuation network.Find the blocking section through the cutting-set matrix.An algorithm is proposed to solve the minimum saturated flow.An example is shown that this algorithm is simple and applicable.
【关键词】 运输网络;
割集矩阵;
堵塞截面;
最小饱和流;
【Key words】 transportation network; the cutting-set matrix; the blocking section; the minimum saturated flow;
【Key words】 transportation network; the cutting-set matrix; the blocking section; the minimum saturated flow;
【基金】 国家自然科学基金(70571037);南京航空航天大学2005年博士学位论文创新与创优基金(BCXJ05-08)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2006年09期
- 【分类号】O157.5
- 【被引频次】13
- 【下载频次】240