考虑碳交易的快慢车时刻表与停站方案综合优化

doi:10.16097/j.cnki.1009-6744.2025.01.012

交通运输系统工程与信息 ›› 2025, Vol. 25 ›› Issue (1): 113-121.DOI: 10.16097/j.cnki.1009-6744.2025.01.012

考虑碳交易的快慢车时刻表与停站方案综合优化

贾富强^*1a，李恺强^1a，李引珍^1a,1b，马成正²，冯子婷^1a

1. 兰州交通大学，a.交通运输学院，b.高原铁路运输智慧管控铁路行业重点实验室，兰州730070；2. 南京铁道职业技术学院，运输管理学院，南京210024

收稿日期:2024-07-30 修回日期:2024-12-15 接受日期:2024-12-17 出版日期:2025-02-25 发布日期:2025-02-21
作者简介:贾富强(1989—)，男，甘肃通渭人，副教授，博士。
基金资助:
国家自然科学基金(72361018)；甘肃省自然科学基金(22JR11RA159)；兰州交通大学青年科学研究基金(2020031)。

Integrated Optimization of Express and Local Train Schedules and Stopping Strategies Considering Carbon Trading

JIA Fuqiang^*1a, LI Kaiqiang^1a, LI Yinzhen^1a,1b, MA Chengzheng², FENG Ziting^1a

1a. School of Transportation, 1b. Key Laboratory of Smart Management for High-speed Railway Transportation of Railway Industry, Lanzhou Jiaotong University, Lanzhou 730070, China; 2. Transportation Management College, Nanjing Vocational Institute of Railway Technology, Nanjing 210024, China

Received:2024-07-30 Revised:2024-12-15 Accepted:2024-12-17 Online:2025-02-25 Published:2025-02-21
Supported by:
National Natural Science Foundation of China (72361018)；Natural Science Foundation of Gansu Province, China (22JR11RA159)；Lanzhou Jiaotong University Youth Scientific Research Fund Project (2020031)。

摘要/Abstract

摘要： 为构建可持续绿色城市轨道交通运输系统，降低城市轨道交通运营阶段碳排放量，本文提出结合碳交易的城市轨道交通快慢车时刻表与停站方案优化方法。首先，刻画不同乘客类型的乘车路径选择机理，提出乘客旅行时间计算方法；其次，通过计算列车的牵引、通风空调、照明、信号系统碳排量，并将快慢车停站方案的碳排放量与碳交易相结合，反馈至企业运营成本中；然后，构建最小化乘客出行成本和企业运营成本的双目标非线性优化模型，设计越行站确定和基于Gurobi分区计算的两阶段求解算法；最后，给出算例，以验证模型和算法的有效性。通过算例分析可知，不同的越行站位置会产生不同的结果，相较于站站停模式，考虑碳交易的城市轨道交通快慢车开行模式使得乘客旅行时间降低5.8%，碳排放量降低17.4%，企业运营成本缩减5.3%。研究结果表明：考虑碳交易的快慢车组织在降低乘客旅行时间、碳排放量和企业运营成本方面效果显著，随着碳达峰的临近碳价格逐步上涨，碳交易机制将有效降低企业运营成本，激励企业积极地减少碳排放，从而推动城市轨道交通的可持续发展。

关键词: 城市交通, 碳交易, Gurobi, 快慢车, 时刻表, 停站方案

Abstract: To reduce carbon emissions during train operations and construct a sustainable and green urban rail transit system, this paper presents an optimization approach for the timetables and stop plans of express and local trains in urban rail transit, integrating carbon trading. First, the travel path selection mechanism of different passenger types is characterized and a calculation method for passenger travel time is proposed. Next, by computing the carbon emissions from train traction, ventilation and air conditioning, lighting, and signal systems, and incorporating the carbon emissions of the stop plans of express and local trains with carbon trading, the impact on operating costs is determined. A bi-objective nonlinear optimization model is established to minimize both passenger travel costs and enterprise operating costs. A two-stage solution algorithm is designed, which involves determining overtaking stations and partition- based calculation using Gurobi. Finally, a case study is provided to validate the model and algorithm. Through the case analysis, it is evident that different positions of overtaking stations yield different results. Compared with the all-stop mode, the operation mode of express and local trains considering carbon trading reduces passenger travel time by 5.8%, carbon emissions by 17.4%, and enterprise operating costs by 5.3%. The research findings indicate that the organization of express and local trains considering carbon trading has remarkable effects in reducing passenger travel time, carbon emissions, and enterprise operating costs. With the approaching of carbon peaking and the gradual rise in carbon prices, the carbon trading mechanism will effectively lower enterprise operating costs and encourage enterprises to actively reduce carbon emissions, thus promoting the sustainable development of urban rail transit.

Key words: urban traffic, carbon trading, Gurobi, express and local train, timetables, station-stop plans

中图分类号:

U293.1

贾富强, 李恺强, 李引珍, 马成正, 冯子婷. 考虑碳交易的快慢车时刻表与停站方案综合优化[J]. 交通运输系统工程与信息, 2025, 25(1): 113-121.

JIA Fuqiang, LI Kaiqiang, LI Yinzhen, MA Chengzheng, FENG Ziting. Integrated Optimization of Express and Local Train Schedules and Stopping Strategies Considering Carbon Trading[J]. Journal of Transportation Systems Engineering and Information Technology, 2025, 25(1): 113-121.

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http://www.tseit.org.cn/CN/Y2025/V25/I1/113

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考虑碳交易的快慢车时刻表与停站方案综合优化

Integrated Optimization of Express and Local Train Schedules and Stopping Strategies Considering Carbon Trading

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