公交化城际列车开行间隔优化

The Headway Optimization of Intercity Trains of Mass Transit Type

公交化是城际铁路的主要特点之一,为了获得服务于两中心城市"公交化"城际列车的开行间隔,根据稀有事件原理,将旅客流到达车站的过程视为随机过程,旅客间的到达时间间隔服从指数分布。在考虑铁路部门和旅客各自利益的基础上,建立旅客候车时间总和的数学期望最小、列车等待时间数学期望最大的双目标非线性规划模型;同时为了保障铁路部门必要的盈利和节省动车组数量,建立关于列车上座率和动车组数量的约束条件。模型建立后,介绍采用模糊多目标优化方法对其进行求解的思路、步骤,并借助于matlab 7.0对其进行求解。最后采用算例论证模型的正确性与可行性。

Mass transit is one of the primary characteristics of intercity trains. In order to derive the headway of intercity trains of the mass transit type which serve two central cities, the process of passenger arrival at train station is regarded as a scholastic process according to the principle of rare events. The interval between passengers arrival complies with exponential distribution. The dual objective and nonlinear optimization model is established after the benefit of the railway enterprise and passengers are considered, the fist goal of which is the minimization of the expectation of the total waiting time of passengers, and the second is the maximization of the expectation of the waiting time of the train. The constraint is the train must achieve requisite seat occupancy rate for satisfying operation costs and save the number of motor train units. The principle and process of the fuzzy multi-objective Optimization method is introduced, and matlab 7.0 is applied to solve the model. At last, a numerical example illustrates the model＇s validity and feasibility.