First train timetabling and bus service bridging in intermodal bus-and-train transit networks
•A bus bridging approach to cooperate with the first train operations in a subway network.•An explicitly integrated MILP model for the first train and bus bridging timetabling problems.•A tailored algorithm for optimally solving the first train timetabling and bus service bridging problems.•The mode...
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| Published in: | Transportation research. Part B: methodological Vol. 149; pp. 443 - 462 |
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| Main Authors: | , , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford
Elsevier Ltd
01.07.2021
Elsevier Science Ltd |
| Subjects: | |
| ISSN: | 0191-2615, 1879-2367 |
| Online Access: | Get full text |
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| Abstract | •A bus bridging approach to cooperate with the first train operations in a subway network.•An explicitly integrated MILP model for the first train and bus bridging timetabling problems.•A tailored algorithm for optimally solving the first train timetabling and bus service bridging problems.•The model and the approach are applied to the Beijing subway network.
Subway system is the main mode of transportation for city dwellers and is a quite significant backbone to a city's operations. One of the challenges of subway network operation is the scheduling of the first trains each morning and its impact on transfers. To deal with this challenge, some cities (e.g. Beijing) use bus ‘bridging’ services, temporarily substituting segments of the subway network. The present paper optimally identifies when to start each train and bus bridging service in an intermodal transit network. Starting from a mixed integer nonlinear programming model for the first train timetabling problem, we linearize and reformulate the model using the auxiliary binary variables. Following that, the bus bridging model is developed to cooperate with the first train operation for reducing long transfer waiting times. After realizing the low computational efficiency of solving the integrated model, a tailored algorithm is designed to optimally solve the first train timetabling and bus service bridging problems. The exact models and algorithms are applied to the Beijing subway network to test their effectiveness and computational efficiency. Numerical results show that our approaches decrease the total passenger waiting time by 53.4% by a combined effect of adjusting the first train departure times and operating 27 bridging buses on 7 routes. |
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| AbstractList | Subway system is the main mode of transportation for city dwellers and is a quite significant backbone to a city's operations. One of the challenges of subway network operation is the scheduling of the first trains each morning and its impact on transfers. To deal with this challenge, some cities (e.g. Beijing) use bus 'bridging' services, temporarily substituting segments of the subway network. The present paper optimally identifies when to start each train and bus bridging service in an intermodal transit network. Starting from a mixed integer nonlinear programming model for the first train timetabling problem, we linearize and reformulate the model using the auxiliary binary variables. Following that, the bus bridging model is developed to cooperate with the first train operation for reducing long transfer waiting times. After realizing the low computational efficiency of solving the integrated model, a tailored algorithm is designed to optimally solve the first train timetabling and bus service bridging problems. The exact models and algorithms are applied to the Beijing subway network to test their effectiveness and computational efficiency. Numerical results show that our approaches decrease the total passenger waiting time by 53.4% by a combined effect of adjusting the first train departure times and operating 27 bridging buses on 7 routes. •A bus bridging approach to cooperate with the first train operations in a subway network.•An explicitly integrated MILP model for the first train and bus bridging timetabling problems.•A tailored algorithm for optimally solving the first train timetabling and bus service bridging problems.•The model and the approach are applied to the Beijing subway network. Subway system is the main mode of transportation for city dwellers and is a quite significant backbone to a city's operations. One of the challenges of subway network operation is the scheduling of the first trains each morning and its impact on transfers. To deal with this challenge, some cities (e.g. Beijing) use bus ‘bridging’ services, temporarily substituting segments of the subway network. The present paper optimally identifies when to start each train and bus bridging service in an intermodal transit network. Starting from a mixed integer nonlinear programming model for the first train timetabling problem, we linearize and reformulate the model using the auxiliary binary variables. Following that, the bus bridging model is developed to cooperate with the first train operation for reducing long transfer waiting times. After realizing the low computational efficiency of solving the integrated model, a tailored algorithm is designed to optimally solve the first train timetabling and bus service bridging problems. The exact models and algorithms are applied to the Beijing subway network to test their effectiveness and computational efficiency. Numerical results show that our approaches decrease the total passenger waiting time by 53.4% by a combined effect of adjusting the first train departure times and operating 27 bridging buses on 7 routes. |
| Author | Wu, Jianjun Cao, Zhiguang Kang, Liujiang Buhigiro, Nsabimana Li, Hao Sun, Huijun |
| Author_xml | – sequence: 1 givenname: Liujiang surname: Kang fullname: Kang, Liujiang email: kanglj@bjtu.edu.cn organization: Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Ministry of Transport, Beijing Jiaotong University, 100044, China – sequence: 2 givenname: Hao surname: Li fullname: Li, Hao organization: Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Ministry of Transport, Beijing Jiaotong University, 100044, China – sequence: 3 givenname: Huijun surname: Sun fullname: Sun, Huijun email: hjsun1@bjtu.edu.cn organization: Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Ministry of Transport, Beijing Jiaotong University, 100044, China – sequence: 4 givenname: Jianjun surname: Wu fullname: Wu, Jianjun organization: State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, 100044, China – sequence: 5 givenname: Zhiguang surname: Cao fullname: Cao, Zhiguang organization: Singapore Institute of Manufacturing Technology (SIMTech), 138634, Singapore – sequence: 6 givenname: Nsabimana surname: Buhigiro fullname: Buhigiro, Nsabimana organization: Key Laboratory of Transport Industry of Big Data Application Technologies for Comprehensive Transport, Ministry of Transport, Beijing Jiaotong University, 100044, China |
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| SubjectTerms | Algorithms Bus service deployment Buses Computational efficiency Computer applications Computing time Intermodal MILP model Mixed integer Nonlinear programming Subway system Subways Timetabling Transportation networks Transportation planning |
| Title | First train timetabling and bus service bridging in intermodal bus-and-train transit networks |
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