期刊
SUSTAINABILITY
卷 11, 期 13, 页码 -出版社
MDPI
DOI: 10.3390/su11133701
关键词
train operation plan; wasted capacity; nonlinear integer programming; balanced scheduling mode
资金
- National Natural Science Foundation of China [71701013, 71890972/71890970, 71525002, 71621001]
- Beijing Municipal Natural Science Foundation [L181008]
- Young Elite Scientists Sponsorship Program by CAST [2018QNRC001]
- Beijing Philosophy and Social Science Program Project [13JGC087]
- State Key Laboratory of Rail Traffic Control and Safety [RCS2019ZZ001]
At present, most urban rail transit systems adopt an operation mode with a single long routing. The departure frequency is determined by the maximum section passenger flow. However, when the passenger flow varies greatly within different sections, this mode will lead to a low load factor in some sections, resulting in a waste of capacity. In view of this situation, this paper develops a nonlinear integer programming model to determine an optimal timetable with a balanced scheduling mode, where the wasted capacity at a constant departure frequency can be reduced with a slight increase in passenger waiting time. Then, we simplify the original model into a single-objective integer optimization model through normalization. A genetic algorithm is designed to find the optimal solution. Finally, a numerical example is presented based on real-world passenger and operation data from Beijing Metro Line 4. The results show that the double-routing optimization model can reduce wasted capacity by 9.5%, with a 4.5% increase in passenger waiting time, which illustrates the effectiveness of this optimization model.
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