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Sensitivity Analysis on the Minimum Saturated Flow of Blocking Networks

WU Wei-wei,NING Xuan-xi (College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)  
In transport networks,especially in the case of emergency,the stochastic flow blocks network often at the(structural) blocking node.When the blockage is the most serious in the network,the saturated flow should be the minimum saturated flow.It is less than the maximum flow.The current saturated flow is just the practical flow capability of the network.If the maximum flow is regarded as the design flow capability in the network,the saturated flow often couldn't reach the maximum flow.To improve the blockage of the network,enlarging the capacities of some arcs is a directing idea.There existed some arcs in the network,adding their capacities couldn't improve the degree of blockage,even worse off.We first find the maximum blocking cut of the network,analyze the influence on the minimum saturated flow with changing the capacities of the arcs.The results show that adding capacities of the forward directed arcs could improve the degree of blockage,however,adding the capacities of the backward directed arcs couldn't improve the blockage of the network and sometimes lessen the minimum saturated flow.
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