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利用交通网络中交通流量与阻抗的对偶均衡关系,提出一个基于节点-路段的交通流分配变分不等式模型。分析网络中流量与阻抗间的对偶关系,将交通流量与出行阻抗看作一对对偶均衡变量。利用这种对偶均衡关系,通过不断调整网络中局部组成元素的平衡关系式,最终得到网络均衡状态。对上述网络流与网络阻抗的制约平衡特征加以抽象,不仅得到一个新的交通流分配模型,而且得到一个模拟出行者行为的启发式模型求解算法。新的模型算法有两个突出优点,一是进行流量分配过程中可避免反复求解联接起讫点对的最短路径,二是可以根据流量分配结果方便的求出任意起讫点间的有效路径集,并明确路径流量。
By using the dual equilibrium relationship between traffic flow and impedance in traffic network, a node-road segment variational inequality model for traffic flow distribution is proposed. Analyze the dual relationship between flow and impedance in the network, consider the traffic flow and trip impedance as a pair of dual equilibrium variables. By using this dual equilibrium relationship, the network equilibrium state is finally obtained by constantly adjusting the equilibrium relation of local compositional elements in the network. Abstraction of the above-mentioned constraints and balance characteristics of network flow and network impedance not only obtains a new traffic flow distribution model, but also obtains a heuristic model solving algorithm that simulates the behavior of travelers. The new model algorithm has two outstanding advantages. One is that it can avoid repeatedly finding the shortest path between the starting point and the end point in the process of traffic distribution, and the other is that it can conveniently find any effective path set between starting and ending points according to the traffic distribution result Clear path traffic.