为探讨更加符合实际的路网均衡交通分配方法,区别于传统的以用户效用最大化为目标、根据Wardrop均衡准则进行交通分配的方法,引入博弈论,假设路网上有2种用户,一种使用混合策略Nash均衡准则,另一种使用系统最优准则,据此假设建立基于斯塔克尔伯格博弈模型的路网均衡交通分配方法,并将目标函数转化为单层规划问题,采用广义乘子法求解。算例结果表明:斯塔克尔伯格博弈模型比用户最优模型的系统效率更高,接近于系统最优,但比系统最优更符合现实情况,也表明路网上存在部分按照路径诱导信息行驶的使用者会提高交通系统效率。
In order to propose more realistic equilibrium traffic assignment method and distinguish traditional traffic assignment method based on the classical Wardropian principle assuming that users minimize either individual travel cost or overall system cost, authors adopted game theory and presented a Staekelberg routing game on the network which the system optimization player is the leader and the mixed-strategy Nash equilibrium players are the followers. Based on Stackelberg model, the road network equilibrium traffic assignment method was discussed, and the generalized Lagrange multiplier method was used to calculate objective function which was transferred into a single-level planning. The example result shows that the efficient of Stackelberg model is higher than that of the user-optimal system, which closes to system optimization, but more closes to reality easily. It indicates users that follow the route guidance information will improve the efficiency of transport system.