Collaborative Optimization for Timetable and Maintenance Window Based on Two-Stage Algorithm
-
摘要: 列车运行图铺画与天窗设置存在相互影响，相互制约的耦合关系，为了达到优化列车运行图结构，合理配置铁路运力资源的目的，在分析天窗与列车运行动态影响关系的基础上，以天窗设置对列车运行线铺画影响最小为目标，建立了列车运行图与天窗协同优化的混合整数规划模型. 考虑问题复杂性,设计了包含初步优化和综合优化的两阶段求解算法. 初步优化阶段采用基于专家经验的启发式算法得到列车运行图的大体框架，综合优化阶段利用禁忌搜索算法获取全局最优解. 最后以宝成线（阳平关—成都）为例进行有效性验算. 结果表明，相较于人机交互编制所得运行图，优化得出的运行图中所有客货列车在途经车站的总停留时间降低了6.19%，共减少1 355 min，其中旅客列车和货物列车在站停留时间分别降低了3.08%和7.40%，减少总时间分别为189 min和1 166 min.Abstract: There is mutual coupling between train timetable generation and maintenance window setting. To achieve the purpose of optimizing the train timetable structure and reasonably configuring the railway transportation capacity. According to the dynamic analysis of train timetable generation and maintenance window setting, the minimum impact of maintenance windows setting on train timetable planning is used as the objective function, and a mixed integer programming (MIP) model is built to realize the collaborative optimization of train timetable and maintenance window. To solve this complex problem, a two-stage solving algorithm including preliminary optimization and comprehensive optimization is designed. In the preliminary optimization stage, a heuristic algorithm based on experts’ experience is used to obtain the general framework of the train timetable. In the comprehensive optimization stage, the tabu search algorithm is used to obtain the global optimal solution. Finally, a case study based on Baoji−Chengdu railway line (Yangpingguan−Chengdu section) was conducted to verify the model. The results show that compared with the timetable compiled by human-computer interaction, the proposed method can effectively reduce the total residence time of all passenger and freight trains at stations by 6.19%, a total reduction of 1 355 min, of which the passenger trains and freight trains station residence time are decreased by 3.08% and 7.40%, with the total reduction time of 189 min and 1 166 min, respectively.
-
图 1 天窗与列车运行图协同优化示意
Figure 1. Collaborative optimization for timetable and maintenance window
表 1 优化图与实际图在站停留时间对比
Table 1. Residence time comparison of optimized and planned timetables
min 方案 旅客列车 货物列车 所有列车 实际图 6 130 15 762 21 892 优化图 5 941 14 596 20 537 
下载: 导出CSV
-
史峰,黎新华,秦进,等. 单线列车运行图铺划的时间循环迭代优化方法[J]. 铁道学报,2005,27(1): 1-5. doi: 10.3321/j.issn:1001-8360.2005.01.001SHI Feng, LI Xinhua, QIN Jin, et al. Time-cycle iterative optimization method for single-line train timetable planning[J]. Journal of the China Railway Society, 2005, 27(1): 1-5. doi: 10.3321/j.issn:1001-8360.2005.01.001 徐长安,倪少权,陈钉均,等. 天窗设置理论与优化技术研究综述[J]. 交通运输工程与信息学报,2017,15(4): 24-31. doi: 10.3969/j.issn.1672-4747.2017.04.004XU Changan, NI Shaoquan, CHEN Dingjun, et al. Survey of optimization theory and method of maintenance window arrangement in the train timetable[J]. Journal of Transportation Engineering and Information, 2017, 15(4): 24-31. doi: 10.3969/j.issn.1672-4747.2017.04.004 FORSGREN M, ARONSSON M, GESTRELIUS S. Maintaining tracks and traffic flow at the same time[J]. Journal of Rail Transport Planning & Management, 2013, 3(3): 111-123. ALBRECHT A R, PANTON D M, LEE D H. Rescheduling rail networks with maintenance disruptions using problem space search[J]. Computers and Operations Research, 2013, 40(3): 703-712. doi: 10.1016/j.cor.2010.09.001 LIDEN T, JOBORN M. An optimization model for integrated planning of railway traffic and network maintenance[J]. Transportation Research Part C:Emerging Technologies, 2017, 74: 327-347. doi: 10.1016/j.trc.2016.11.016 AKEN S V, BESINOVIC N, GOVERDE R M P. Designing alternative railway timetables under infrastructure maintenance possessions[J]. Transportation Research Part B:Methodological, 2017, 98: 224-238. doi: 10.1016/j.trb.2016.12.019 赵丽珍,赵映莲,杨岳勤,等. 高速铁路综合维修“天窗”开设形式与行车组织协调问题的研究[J]. 中国铁道科学,2002,23(2): 127-131. doi: 10.3321/j.issn:1001-4632.2002.02.021ZHAO Lizhen, ZHAO Yinglian, YANG Yueqin, et al. Study on the coordination of the opening form and the organization of trains in the comprehensive maintenance of high-speed railway[J]. China Railway Science, 2002, 23(2): 127-131. doi: 10.3321/j.issn:1001-4632.2002.02.021 聂磊,胡必松,付慧伶,等. 客运专线夜间行车与天窗的相互影响分析[J]. 交通运输系统工程与信息,2010,10(5): 66-72. doi: 10.3969/j.issn.1009-6744.2010.05.009NIE Lei, HU Bisong, FU Huizhen, et al. Analysis of interaction between night driving and skylight in passenger dedicated line[J]. Journal of Transportation Systems Engineering and Information, 2010, 10(5): 66-72. doi: 10.3969/j.issn.1009-6744.2010.05.009 杨奎,彭其渊,鲁工圆,等. 高速铁路天窗设置与夜间列车运行协调优化技术[J]. 铁道学报,2015(4): 1-7. doi: 10.3969/j.issn.1001-8360.2015.04.001YANG Kui, PENG Qiyuan, LU Gongyuan, et al. Coordination optimization technology of skylight setting and night train operation in high speed railway[J]. Journal of the China Railway Society, 2015(4): 1-7. doi: 10.3969/j.issn.1001-8360.2015.04.001 张强锋,吕红霞,杨宇翔. 基于三角模糊数的高铁天窗施工实施效果评价[J]. 西南交通大学学报,2018,53(4): 798-805. doi: 10.3969/j.issn.0258-2724.2018.04.018ZHANG Qiangfeng, LÜ Hongxia, YANG Yuxiang. Effect evaluation of high-speed railway skylight construction based on triangular fuzzy number[J]. Journal of Southwest Jiaotong University, 2018, 53(4): 798-805. doi: 10.3969/j.issn.0258-2724.2018.04.018 兰泽康,何世伟,黎浩东,等. 考虑维修天窗和到发线数量的复线铁路列车运行图优化[J]. 北京交通大学学报,2018,42(3): 30-36.LAN Zekang, HE Shiwei, LI Haodong, et al. Optimization for double-track railway train timetabling considering the maintenance skylight and the number of arrival-departure tracks[J]. Journal of Beijing Jiaotong University, 2018, 42(3): 30-36. 倪少权. 中国铁路列车运行图编制系统研究[D]. 成都: 西南交通大学, 2013 董守清,王进勇,闫海峰. 双线铁路列车运行调整的禁忌搜索算法[J]. 中国铁道科学,2005,26(4): 114-119. doi: 10.3321/j.issn:1001-4632.2005.04.024DONG Shouqing, WANG Jinyong, YAN Haifeng. Tabu search algorithm for train operation adjustment of two-line railway[J]. China Railway Science, 2005, 26(4): 114-119. doi: 10.3321/j.issn:1001-4632.2005.04.024 -
下载:
点击查看大图
图(4) / 表(1)
计量
- 文章访问数: 713
- HTML全文浏览量: 313
- PDF下载量: 27
- 被引次数: 0