交通运输系统工程与信息 ›› 2026, Vol. 26 ›› Issue (5): 142-151.DOI: 10.16097/j.cnki.1009-6744.2026.05.012

• 综合交通运输体系 • 上一篇    下一篇

考虑换乘站改造条件的城市轨道交通跨线交路服务设计优化

宋奇峰a ,戚建国*a ,周厚盛a ,何嘉年a ,王志美b   

  1. 北京交通大学,a.系统科学学院;b.交通运输学院,北京100044
  • 收稿日期:2026-03-25 修回日期:2026-08-01 接受日期:2026-08-18 出版日期:2026-10-25 发布日期:2026-10-21
  • 作者简介:宋奇峰(2001—),男,河北邯郸人,博士生。
  • 基金资助:
    国家自然科学基金(72371015);北京市自然科学基金 (9252012)。

General Optimization Method of Cross-Line Train Service Route Design for Urban Rail Transit Network with Construction Budget

SONG Qifenga, QI Jianguo*a, ZHOU Houshenga, HE Jianiana, WANG Zhimeib   

  1. a. School of Systems Science; b. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Received:2026-03-25 Revised:2026-08-01 Accepted:2026-08-18 Online:2026-10-25 Published:2026-10-21
  • Supported by:
    National Natural Science Foundation of China (72371015);Beijing Natural Science Foundation (9252012)。

摘要: 为减少乘客换乘时间并提升运输服务水平,本文研究城市轨道交通网络跨线交路服务设计优化问题。基于跨线交路方案备选集,综合考虑换乘站改造条件、可运用车底数量等现实约束,构建以最大化乘客服务水平和最小化轨道交通改造与运营成本为目标的混合整数线性规划模型,以协同优化改造换乘站点、开行跨线交路和对应频率,以及线网中既有交路开行频率。以北京地铁网络为背景设计的数值实验,验证了所提方法的有效性。实验结果表明,所提出的方法能够综合考虑并权衡改造运营成本与乘客服务水平间的关系,在较短时间内求得跨线交路服务设计方案。与基准方案相比,考虑跨线交路运营策略虽需增加一定的换乘站改造与运营成本,但直达客流量提升10.06%,滞留乘客数量下降52.85%。综上所述,开行跨线交路可以有效提升线网的直达服务水平与连通性,显著提高乘客服务水平。

关键词: 城市交通, 交路服务设计, 混合整数线性规划, 跨线交路, 换乘站改造

Abstract: To reduce the transfer time and provide high-quality transportation service, this paper proposes a general method for the cross-line train service design problem on the urban rail transit network. Based on the candidate cross-line service route pool, a mixed-integer linear programming model is formulated with the objectives to maximize the service quality for passengers and minimize the costs of reconstruction and operation. The model enables to optimize the specific reconstructed transfer stations, operated cross-line service routes and the corresponding train frequencies simultaneously, while comprehensively considering practical constraints such as the renovation conditions and construction costs of transfer stations, and the number of available rolling stock. Numerical experiments based on the Beijing metro network are implemented to validate the effectiveness of the proposed model. The results indicate that the proposed method can balance the relationship between the reconstruction costs and service quality, and can find a cross-line route service design scheme within a short time. Compared with the baseline plan, the cross-line operation strategy requires additional reconstruction costs and operating costs, and it increases the direct passenger volume by 10.06% and reduces the number of stranded passengers by 52.85%. In summary, operating cross-line service routes can effectively improve the direct service level and connectivity of the network, thereby significantly improving passenger service level.

Key words: urban transportation, train service route design, mixed-integer linear programming, cross-line service route, transfer station reconstruction

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