Maximum Flow Assignment Algorithm for Transshipment Nodes with Flow Demands in Transportation Network
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摘要: 运输网络中有流量需求的转运结点不遵从流量守恒条件,也不能按源、汇及中间结点归类.为解决这类转运结点的最大流分配问题,将这类转运结点分为汇结点和中间结点.根据Ford-Fulkerson算法寻找增流链的原理,提出了寻找这类转运结点增流链的方法、调整量计算公式和流量调整方法,形成了有流量需求的转运结点最大流分配算法.
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关键词:
- 最大流 /
- 增流链 /
- 转运结点 /
- Ford-Fulkerson算法 /
- 运输网络
Abstract: In transportation networks,a transshipment node with flow demands fails to conform to flow conservation,and can not be categorized to a source,a sink or an intermediate node.To solve the maximum flow problems of transportation network containing this kind of transshipment nodes,the node is split into a sink node and an intermediate node.Following the principle in Ford-Fulkerson algorithm to search augmenting paths,a maximum flow assignment algorithm was proposed for transportation networks containing transshipment nodes with demands.The proposed algorithm consists of a method to search augmenting paths on the transshipment nodes,a formula to calculate adjustment quantities,and a method to change flows.-
Key words:
- maximum flow /
- augmenting path /
- transshipment node /
- Ford-Fulkerson algorithm /
- transportation network
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