基于动态定价策略的城市轨道交通高峰时段列车时刻表优化

Xiaoli Zhao, D. Li, Yaqiong Zhao
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摘要

近年来,随着城市居民出行需求的快速增长,尤其是高峰时段,城市轨道交通面临着运力与客运需求严重不匹配的巨大挑战。为了解决这一问题,本文分析了乘客需求、列车时刻表和价格之间的关系,尝试采用动态定价策略调整乘客需求分布,并在此基础上构建了以乘客在车站等待时间最小为目标的列车时刻表优化模型,并设计了相应的遗传算法进行求解。通过算例验证了模型和算法的实用性。算例结果证明,基于动态定价策略的列车高峰时段乘客需求显著降低,优化后的列车时刻表也能更好地适应乘客需求,有效缩短了乘客在车站候车时间,缓解了车站高峰时段的拥挤状况。
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Train timetable optimization of urban rail transit in rush hours based on the dynamic pricing strategy
In recent years, with the rapid growth of urban residents' travel demand, especially during rush hours, urban rail transit faces a huge challenge of serious mismatch between transportation capacity and passenger demand. To solve this problem, this paper analyzes the relationship among passenger demand, train timetables and price, tries to adjust the passenger demand distribution using a dynamic pricing strategy, and based on this, constructs a train timetable optimization model with the objective of minimizing the passengers’ waiting time at stations and designs a corresponding genetic algorithm to solve it. The practicality of the model and algorithm is verified by an example. The results of the example prove that the passenger demand during the rush hour decreases significantly based on the dynamic pricing strategy, and the optimized train timetable also adapts to the passenger demand better, effectively shortens the passenger waiting time at the station and relieves the crowded situation of the station during the rush hours.
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