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Frontiers of Engineering Management

ISSN 2095-7513

ISSN 2096-0255(Online)

CN 10-1205/N

Postal Subscription Code 80-905

Front. Eng    2017, Vol. 4 Issue (4) : 418-427    https://doi.org/10.15302/J-FEM-2017044
RESEARCH ARTICLE
Metro train rescheduling by adding backup trains under disrupted scenarios
Jiateng YIN(), Yihui WANG, Tao TANG, Jing XUN, Shuai SU
State Key Laboratory of Rail Traffic Control & Safety, Beijing Jiaotong University, Beijing 100044, China
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Abstract

In large cities with heavily congested metro lines, unexpected disturbances often occur, which may cause severe delay of multiple trains, blockage of partial lines, and reduction of passenger service. Metro dispatchers have taken a practical strategy of rescheduling the timetable and adding several backup trains in storage tracks to alleviate waiting passengers from crowding the platforms and recover from such disruptions. In this study, we first develop a mixed integer programming model to determine the optimal train rescheduling plan with considerations of in-service and backup trains. The aim of train rescheduling is to frequently dispatch trains to evacuate delayed passengers after the disruption. Given the nonlinearity of the model, several linearization techniques are adapted to reformulate the model into an equivalent linear model that can be easily handled by the optimization software. Numerical experiments are implemented to verify the effectiveness of the proposed train rescheduling approach.

Keywords train rescheduling      backup train      metro line      disruption      timetable     
Corresponding Author(s): Jiateng YIN   
Just Accepted Date: 07 September 2017   Online First Date: 31 October 2017    Issue Date: 14 December 2017
 Cite this article:   
Jiateng YIN,Yihui WANG,Tao TANG, et al. Metro train rescheduling by adding backup trains under disrupted scenarios[J]. Front. Eng, 2017, 4(4): 418-427.
 URL:  
https://academic.hep.com.cn/fem/EN/10.15302/J-FEM-2017044
https://academic.hep.com.cn/fem/EN/Y2017/V4/I4/418
Fig.1  Illustration of adding backup trains in metro lines
Fig.2  Illustration of train rescheduled timetable with backup trains
Fig.3  Two-direction metro line in numerical experiments
Fig.4  Optimal train rescheduling timetable with backup trains under 200 s headway
12345678
E-train 1(-, -)(-, -)(-, -)(-, -)(-, -)(0,30)(150,200)(320,350)
E-train 2(-, -)(-, -)(-, -)(0,30)(150,180)(300,330)(450,480)(600,630)
E-train 3(0,0)(0,30)(150,200)(320,370)(490,540)(660,710)(830,880)(1000,1030)
A-train 1(-, -)(-, -)(-, -)(-, -)(-, -)(-, -)(650,680)(800,830)
A-train 2(-, -)(-, -)(-, -)(-, -)(930,960)(1080,1110)(1230,1280)(1400,1430)
A-train 3(-, -)(-, -)(790,820)(940,990)(1110,1160)(1280,1310)(1430,1480)(1600,1630)
F-train 1(30,60)(180,230)(350,400)(520,570)(690,740)(860,910)(1030,1080)(1200,1230)
F-train 2(670,700)(820,870)(990,1040)(1160,1210)(1330,1380)(1500,1530)(1650,1680)(1800,1830)
F-train 3(870,900)(1020,1070)(1190,1240)(1360,1410)(1530,1580)(1700,1730)(1850,1880)(2000,2030)
F-train 4(1070,1100)(1220,1270)(1390,1440)(1560,1610)(1730,1780)(1900,1930)(2050,2080)(2200,2230)
F-train 5(1350,1380)(1500,1530)(1650,1680)(1800,1830)(1950,1980)(2100,2130)(2250,2280)(2400,2430)
Tab.1  Rescheduled train timetable with backup trains
Headway/sArrival time of last train/sAverage arrival time of trains /sComputational time/s
120165010210.11
150183010800.12
200243014230.13
250293016700.13
Tab.2  Performance comparison with different headway times
Fig.5  Optimal train rescheduling timetable with backup trains under 120 s headway
Fig.6  Optimal train rescheduling timetable with backup trains under 150 s headway
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[1] Ziyou GAO, Lixing YANG. Energy-saving operation approaches for urban rail transit systems[J]. Front. Eng, 2019, 6(2): 139-151.
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