Train Line Planning Model with Stochastic Stability in Passenger Flow Assignment Scheme for Passenger-Dedicated Line
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摘要: 为适应我国客运专线高、中速列车混跑的运营要求,提高开行方案的随机鲁棒性,根据图论、概率论和 期望值建模的基本思想,构建了符合路网系统运能的旅客列车开行方案的多目标随机期望值规划模型,设计了 带有随机模拟的多参数级联遗传算法.算例结果表明:当列车与旅客出行的路径绕行率均为1.4、周期为60 min、列车 K灢短路参数为3和旅客出行路径K-短路参数为8时,经600代进化后求得满意解,用该算法能够得到 满足路网线路通过能力、不同速度的运行线系统运能和路网旅客出行需求等约束条件的开行方案和配流方案, 且具有高鲁棒性.Abstract: In order to meet the requirements of mixed operation of trains with high and middle speeds on a passenger-dedicated line in China and increase the stochastic robustness of the train line planning system, a multi-objective expected value model for stochastic programming subjected to the carrying capacity of the train line system was built based on the graph theory, the probability theory, and the basic programming idea of expected value modeling. Then, a multi-parameter genetic algorithm with random simulation was designed for solving the model. The result of a computational example shows that the algorithm can obtain the satisfactory solution after 600 evolution generations when the detour rates for both the trains and passengers are 1.4, the period is 60 min, the K-shortest path parameter for the trains are 3 and that for passengers are 8. Therefore, a robust solution for train line plan and passenger flow assignment scheme can be generated by the proposed algorithm under the constraints of the carrying capacity of the railway network, the transportation capacities of the trains operated with different speeds, and the travel demands of passengers, etc.
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