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Outline
Train scheduling optimization, as a core issue in urban rail transit transportation organization, is crucial for enhancing the operational efficiency and service quality of rail transit systems. To systematically review the research progress in this field and promote its further development, this study conducts a comprehensive survey of relevant literature from both domestic and international sources. From the perspective of mathematical modeling, the paper summarizes the core elements of train scheduling optimization, including objective functions and constraints, from both the line-level and network-level perspectives. Furthermore, a detailed review of solution methods is presented, categorizing the approaches into heuristic algorithms and exact algorithms. Finally, the paper identifies existing research gaps and proposes future directions, including the need for improved modeling of dynamic passenger flow and behavior patterns, optimization of operations under network interconnection scenarios, exploration of multi-strategy operational models, and the integration of intelligent optimization algorithms, to further advance research on train scheduling optimization in urban rail transit.
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| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |
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