期刊
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
卷 76, 期 -, 页码 117-135出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.trb.2015.03.004
关键词
Train timetable; Passenger waiting time; Time-varying demand; Skip-stop pattern; Nonlinear mixed integer programming
类别
资金
- National Natural Science Foundation of China [71261014]
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. (C) 2015 Elsevier Ltd. All rights reserved.
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