An Improved Mathematical Model for Real-Time Control of Local Flows

A basic network model N of local flow is a simple directed graph, in which transfer capacity and circulation capacity of a node in a local flow network are not detected and characterized. As a result, it is not in accord with various factual states and changes of the network commonly. An improved mathematical model NIO, called a node-separating model, was proposed in the presented paper. The NIO involves the transfer capacity and circulation capacity, but is still a simple directed graph. An adjacent matrix corresponding to the NIO is used to denote a state of a local flow network. Each state and change of the network can be real-time controlled by use of the model, e.g. practicable flows in a steady state and unworkable flows during a change of steady.