双模式的拥挤收费双层规划模型

Bi-level Programming Model of Dual-Mode Traffic Congestion Pricing

为了解决私家车和公交车行驶时相互影响条件下的实际阻抗问题,提出了一个广义阻抗,即包含车辆行驶时受其他交通模式影响所花费的时间、车辆行驶固定的费用(如燃油费和车辆磨损费等)、拥挤收费及由拥挤构成的早到或延迟惩罚的广义阻抗函数。在此基础上,建立了以交通网络系统收益与网络成本之差最大化为目标的上层模型,以多模式交通网络的随机用户平衡为目标的下层模型,出行模式及路径的选择满足Logit模型的数学双层规划模型。最后,应用基于步长加速法和惩罚函数法的直接搜索法对该模型进行求解。

In order to solve the problem of the actual impedance arising from interactions of private and public vehicles,a generalized traffic impedance function is chosen.It has taken the additional driving time influenced by other travel modes into account.Also,fixed fee for driving（such as fuel costs,wear-and-tear charge and so on）,congestion fee and penalties for arrival early or late as a result of congestion are considered.On this basis,a bi-level programming model is presented.The upper model optimizes the transportation network system to achieve a maximum difference between the profit and the price of a transportation network,while the lower＇s objective is random user equilibrium in a multi-mode transportation network.At the same time,mode splitting and route choice meet the Logit model.The problem is solved by directly search algorithm based on a step accelerating method and a penalty function method.Finally,a simple numerical example is given.