Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints
•Optimization models for train scheduling problem for minimizing passenger waiting time.•Quadratic functional form for computing waiting time under time-dependent OD demand.•Reformulations for linking train inter-arrival events under skip-stop patterns.•Implemented and efficiently solved by general...
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| Vydáno v: | Transportation research. Part B: methodological Ročník 76; s. 117 - 135 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Ltd
01.06.2015
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| Témata: | |
| ISSN: | 0191-2615, 1879-2367 |
| On-line přístup: | Získat plný text |
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| Abstract | •Optimization models for train scheduling problem for minimizing passenger waiting time.•Quadratic functional form for computing waiting time under time-dependent OD demand.•Reformulations for linking train inter-arrival events under skip-stop patterns.•Implemented and efficiently solved by general purpose high-level optimization solvers.
This paper focuses on how to minimize the total passenger waiting time at stations by computing and adjusting train timetables for a rail corridor with given time-varying origin-to-destination passenger demand matrices. Given predetermined train skip-stop patterns, a unified quadratic integer programming model with linear constraints is developed to jointly synchronize effective passenger loading time windows and train arrival and departure times at each station. A set of quadratic and quasi-quadratic objective functions are proposed to precisely formulate the total waiting time under both minute-dependent demand and hour-dependent demand volumes from different origin–destination pairs. We construct mathematically rigorous and algorithmically tractable nonlinear mixed integer programming models for both real-time scheduling and medium-term planning applications. The proposed models are implemented using general purpose high-level optimization solvers, and the model effectiveness is further examined through numerical experiments of real-world rail train timetabling test cases. |
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| AbstractList | •Optimization models for train scheduling problem for minimizing passenger waiting time.•Quadratic functional form for computing waiting time under time-dependent OD demand.•Reformulations for linking train inter-arrival events under skip-stop patterns.•Implemented and efficiently solved by general purpose high-level optimization solvers.
This paper focuses on how to minimize the total passenger waiting time at stations by computing and adjusting train timetables for a rail corridor with given time-varying origin-to-destination passenger demand matrices. Given predetermined train skip-stop patterns, a unified quadratic integer programming model with linear constraints is developed to jointly synchronize effective passenger loading time windows and train arrival and departure times at each station. A set of quadratic and quasi-quadratic objective functions are proposed to precisely formulate the total waiting time under both minute-dependent demand and hour-dependent demand volumes from different origin–destination pairs. We construct mathematically rigorous and algorithmically tractable nonlinear mixed integer programming models for both real-time scheduling and medium-term planning applications. The proposed models are implemented using general purpose high-level optimization solvers, and the model effectiveness is further examined through numerical experiments of real-world rail train timetabling test cases. This paper focuses on how to minimize the total passenger waiting time at stations by computing and adjusting train timetables for a rail corridor with given time-varying origin-to-destination passenger demand matrices. Given predetermined train skip-stop patterns, a unified quadratic integer programming model with linear constraints is developed to jointly synchronize effective passenger loading time windows and train arrival and departure times at each station. A set of quadratic and quasi-quadratic objective functions are proposed to precisely formulate the total waiting time under both minute-dependent demand and hour-dependent demand volumes from different origin-destination pairs. We construct mathematically rigorous and algorithmically tractable nonlinear mixed integer programming models for both real-time scheduling and medium-term planning applications. The proposed models are implemented using general purpose high-level optimization solvers, and the model effectiveness is further examined through numerical experiments of real-world rail train timetabling test cases. |
| Author | Gao, Ruhu Niu, Huimin Zhou, Xuesong |
| Author_xml | – sequence: 1 givenname: Huimin surname: Niu fullname: Niu, Huimin email: hmniu@mail.lzjtu.cn organization: School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China – sequence: 2 givenname: Xuesong surname: Zhou fullname: Zhou, Xuesong email: xzhou74@asu.edu organization: School of Sustainable Engineering and the Built Environment, Arizona State University, Tempe, AZ 85287, United States – sequence: 3 givenname: Ruhu surname: Gao fullname: Gao, Ruhu email: ruhugao@hotmail.com organization: School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China |
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| ContentType | Journal Article |
| Copyright | 2015 Elsevier Ltd |
| Copyright_xml | – notice: 2015 Elsevier Ltd |
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| SubjectTerms | Demand Mathematical models Nonlinear mixed integer programming Nonlinearity Passenger trains Passenger waiting time Passengers Rails Scheduling Skip-stop pattern Stations Time-varying demand Train timetable |
| Title | Train scheduling for minimizing passenger waiting time with time-dependent demand and skip-stop patterns: Nonlinear integer programming models with linear constraints |
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